micromachines

Review Review on Fabrication Technologies for Optical Mold Inserts

Marcel Roeder 1,2,* , Thomas Guenther 2 and André Zimmermann 1,2

1 Hahn-Schickard, Allmandring 9b, 70569 Stuttgart, Germany; [email protected] 2 Institute for Micro Integration (IFM), University of Stuttgart, Allmandring 9 b, 70569 Stuttgart, Germany; [email protected] * Correspondence: [email protected]; Tel.: +49-711-685-83729

 Received: 6 February 2019; Accepted: 2 April 2019; Published: 3 April 2019 

Abstract: Polymer optics have gained increasing importance in recent years. With advancing requirements for the optical components, the fabrication process remains a challenge. In particular, the fabrication of the mold inserts for the replication process is crucial for obtaining high-quality optical components. This review focuses on fabrication technologies for optical mold inserts. Thereby, two main types of technologies can be distinguished: fabrication methods to create mold inserts with optical surface quality and methods to create optical microstructures. Since optical mold inserts usually require outstanding form accuracies and surface qualities, a focus is placed on these factors. This review aims to give an overview of available methods as well as support the selection process when a fabrication technology is needed for a defined application. Furthermore, references are given to detailed descriptions of each technology if a deeper understanding of the processes is required.

Keywords: optical mold inserts; micro ; micro structuring; ultra-precision machining; mold fabrication

1. Introduction Polymer optics have gained increasing importance in recent years. They compete with traditional lenses in various fields of applications. One of the most critical points in the fabrication of polymer optical components is the mold insert required for injection molding or injection compression molding, respectively. There is a broad range of technologies which can be used to produce optical mold inserts and/or micro-structuring techniques. Which methods should be employed depends mainly on the application. This review aims to support decision making when selecting the most suitable fabrication technology by providing an overview of available technologies. The scope of this review is to describe the technologies, their advantages and limitations, and possible applications. Since the review focuses on optical mold inserts, special attention is given to achievable surface quality, accuracy and, in the case of micro-structuring techniques, the minimal structure size. The market of polymer optics is growing rapidly, finding its way into more and more sophisticated applications [1]. Technological advantages in the fabrication process of polymer optics enable fast replication of optical elements with a wide range of geometries as well as micro-structures. This is a major advantage compared to glass optics, allowing for more freedom in optical design. Free-form optics are just one example of optical element that can be produced at a significantly lower price than traditional glass lenses. Therefore a wide range of applications emerges with increasing opportunities for the optical design. Applications range from illumination [2] and imaging [3] to automotives [4]. Another upcoming trend in polymer optics are micro-structured components. The combination of lenses with micro-structured features can be used to increase their performance, reduce the weight of optical systems, correct aberrations, and shape beams. Examples of micro-structures used in

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Another upcoming trend in polymer optics are micro-structured components. The combination Micromachines 2019, 10, 233 2 of 25 of lenses with micro-structured features can be used to increase their performance, reduce the weight of optical systems, correct aberrations, and shape beams. Examples of micro-structures used in polymerpolymer opticsoptics are micro-lensmicro-lens arraysarrays [[5],5], didiffractiveffractive opticaloptical elementselements [[6],6], FresnelFresnel lenseslenses [[7],7], prismprism arrays [[8]8] and blazed structures [[9].9]. Examples of applications of micro-structured optical components are concentration structures forfor solarsolar panelspanels using micro-lens arrays [[10]10] or Fresnel lenses [[11],11], beam shaping andand homogenizationhomogenization [[12,13],12,13], measurementmeasurement systemssystems [[14]14] andand sensorssensors [[15,16].15,16]. One of the main advantages of polymer optics is their fast and low-cost replication by means of hot embossingembossing [[17]17] oror injectioninjection (compression)(compression) moldingmolding [[18].18]. Furthermore,Furthermore, mountingmounting andand alignmentalignment featuresfeatures cancan be be integratedintegrated into into thethe opticaloptical components,components, whichwhich eliminateseliminates thethe needneed forfor additional additional holding components andand assembly stepssteps [[19].19]. Roll-to-roll processes enable the fast replication of large areas with with an an accuracy accuracy even even appropriate appropriate for micro-structured for micro-structured features features [20,21 ]. [20,21]. While Whilethis opens this further opens technologicalfurther technological possibilities, possibilities, this paper this does paper not focusdoes not on replicationfocus on replication technologies, technologies, but on the fabricationbut on the offabrication mold inserts of mold for the inserts replication. for the A replication. comprehensive A comprehensive overview on injection overview molding on injection of polymer molding optics of ispolymer given byoptics Bäumer is given [22 by]. Furthermore,Bäumer [22]. Furthermore, methods for methods the replication for the ofreplication micro- and of micro- nano-structured and nano- surfacestructured geometries surface geometries are summarized are summarized by Hansen etby al.Hansen [23]. et al. [23]. The most important material properties forfor polymer optics are the refractive index and the Abbe number [[1].1]. ComparingComparing polymerpolymer optics optics to to glass glass optics, optics, the the refractive refractive index index is ais limitinga limiting factor factor since since no materialsno materials with with high high refractive refractive indices indices are available. are available. The most The commonly most commonly used materials used materials for injection for moldedinjection optics molded are optics acrylic are (PMMA), acrylic polycarbonate(PMMA), polycarbonate (PC), cyclic (PC), olefin cyclic copolymer olefin (COC)copolymer andcyclic (COC) olefin and polymercyclic olefin (COP) polymer [24], which (COP) provide [24], which good provide technical good properties technical regarding properties internal regarding stresses, internal reduced stresses, water absorption,reduced water optimized absorption, resistance optimized against resistance environmental against influences,environmental and manyinfluences, more. and In combinationmany more. withIn combination microstructured with microstructured features, their optical features, properties their optical canbe properties enhanced can to be overcome enhanced the to limitations overcome concerningthe limitations refractive concerning index. refractive index. InIn thethe followingfollowing section, section, technologies technologies for for the the fabrication fabrication of opticalof optical mold mold inserts inserts are described.are described. The technologiesThe technologies are divided are divided in form-giving in form-giving methods methods and micro-structuring and micro-structuring techniques. techniques. First, form-givingFirst, form- machininggiving machining technologies technologies for optical for mold optical inserts mold are inserts described, are described,where ultra-precision where ultra-precision machining presentsmachining a special presents case a special as it presents case as ait combination presents a combination of a form-giving of a form-giving and micro-structuring and micro-structuring technology. Thetechnology. methods The are methods investigated are regardinginvestigated their regarding achievable their surface achievable quality surface and accuracy. quality and Subsequently, accuracy. micro-structuringSubsequently, micro-structuring methods are described, methods are focusing described, on the focusing achievable on the structure achievable size. structure A summary size. isA providedsummary inis theprovided last section in the of last the section paper including of the paper a guide including for aiding a guide decision for aiding making decision when choosing making thewhen right choosing technology the right for the technology required for application. the required application.

2. Fabrication Methods Throughout this this section, section, various various fabrication fabrication methods methods are described. are described. Figure 1 Figure provides 1 anprovides overview an ofoverview the methods of the andmethods their and achievable their achievable surface quality surface and quality structure and structure dimensions. dimensions. More details More of details each technologyof each technology are described are described below. below.

Figure 1.1. Structural dimensions and achievable surface quality of fabrication technologies for optical mold inserts.

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3. Form-Giving Technologies

3.1. Ultra-Precision Machining (UPM)

Ultra-precision machining (UPM) was first introduced in the 19600s by Bryan from the Lawrence Livermore National Laboratory [25]. It is the most common method for the fabrication of optical mold inserts. Ultra-precision machines achieve a positioning accuracy in the nanometer range [26], which to outstanding surface quality and form accuracy. The surface roughness of machined parts is usually smaller than Ra < 10 nm. Hence, post-processing of components to achieve finished surfaces is not required. To obtain high-quality parts, the machine components have to be pushed to their limits. Diamond machining systems use a granite block as a foundation. High-precision positioning systems, high-speed spindles, and accurate fixture and handling equipment are needed in these systems [27]. The current state of the art in spindle technology was reviewed by Abele et al. [28]. Air bearing spindles and oil hydrostatic bearings are used for accurate movement of the tools and parts. Position control is assured by glass scales with a resolution of less than 1 nm. Furthermore, vibration suppression and temperature control is very important. Temperature should be kept constant in a range of 0.1 K or less. When ± machining at the microscale, mechanics change significantly. Effects which have little to no influence at macroscale become dominant when the chip size decreases. The achievable surface roughness of diamond-machined parts is influenced by a multitude of factors like cutting conditions [29], tool vibration [30–32], material properties [33–39] and spindle vibration [40]. These factors can be separated into process factors and material factors [29]. The understanding of the effects and their impact on surface roughness is most important to improve part quality and support further development of the technology. Cheung and Lee [29,32,41–43] investigated the cutting dynamics and surface generation in ultra-precision machining, mainly using diamond as the cutting technology. The achievable part quality and accuracy very much depends on the quality of the diamond tool. Monocrystalline are used to form the cutting tip of the tool because of their outstanding hardness and the ability to create very sharp edges with less than 50 nm edge roundness [44]. Hence, the surface finish does not depend on the cutting speed [45]. Ultra-precision machining can also be used as a micro-structuring technique. The achievable structure size is thereby limited by the nose radius of the available diamond tools to about 5 µm [46]. Diamond machining is limited to non-ferrous materials. Due to this fact, -phosphorus (NiP) coatings became the standard as the material to machine with diamond tools for optical mold inserts. NiP can be diamond machined with negligible tool wear. The coatings are deposited onto molds by electroless or galvanic plating processes. The preparation of the mold inserts before the diamond machining requires three steps. First, a steel insert is fabricated using traditional milling or turning processes to fabricate the geometry roughly. Afterwards, the nickel phosphorous coating is deposited and another rough machining process is needed to remove surplus NiP since the diamond machining process only removes a couple of micrometers of the material. The necessity of the coating process makes the fabrication of optical mold inserts by means of diamond machining costly and time consuming. Therefore, efforts are made to machine tool steel inserts directly with optical surface quality. Different methods of UPM as well as methods to machine steel-based materials will be discussed in subsequent sections. Machining configurations of UPM are shown in Figure2 and will be explained in the following sections. MicromachinesMicromachines 20192019,, 1010,, 233 233 4 4 of of 25 25 Micromachines 2019, 10, 233 4 of 25

FigureFigure 2. 2.Ultra-precisionUltra-precision machining machining (UPM) methods. (UPM) (a methods.) ; (a) Diamond(b) Slow-tool-servo/fast- turning; (b) Figure 2. Ultra-precision machining (UPM) methods. (a) Diamond turning; (b) Slow-tool-servo/fast- tool-servoSlow-tool-servo (c) Diamond/fast-tool-servo milling; ((cd)) DiamondFly cutting. milling; (d) Fly cutting. tool-servo (c) Diamond milling; (d) Fly cutting. 3.1.1.3.1.1. Diamond Diamond Turning Turning 3.1.1. Diamond Turning EarlyEarly developments developments of of ultra-precision ultra-precision machining machining where where driven driven by by the the demand demand for for large large size size lenseslensesEarly with with developments high-quality high-quality surfaces, surfaces,of ultra-precision mainly mainly produced produced machining by by diamondwhere diamond driven turning. turning. by theDiamond Diamond demand turning turning for large is is used usedsize tolensesto fabricate fabricate with rotationally rotationallyhigh-quality symmetrical symmetricalsurfaces, mainly components components produced with with by high highdiamond accuracy accuracy turning. and and aDiamond a surface surface roughness roughnessturning is Raused Ra << 1010to nmfabricate nm [47]. [47]. Ikawa Ikawarotationally et et al. al. [48] [symmetrical48] reported reported thecomponents the minimum minimum with chip chip high thickness thickness accuracy achievable achievable and a surface in in diamond diamond roughness turning turning Ra is is< 1110 nm nm in in[47]. an an experimental Ikawa experimental et al. [48] setup. setup. reported Due Due to the the to minimum themachine machine configuration, chip configuration, thickness possible achievable possible part in geometries part diamond geometries are turning limited. are is limited.1Diamond nm in Diamond an turning experimental isturning a standard is setup. a standard process Due to toprocess the fabricate machine to opticalfabricate configuration, mold optical inserts mold possible for inserts spherical part for geometries andspherical aspherical and are asphericallimited.lenses. RiedlDiamond lenses. [49] Riedl andturning Blough [49] is anda etstandard Blough al. [50] reportedprocesset al. [50] to the reportedfabricate fabrication theoptical fabrication of amold diffractive inserts of a opticaldiffractive for spherical element optical and by elementasphericalmeans of by diamond meanslenses. ofRiedl turning. diamond [49] Whenand turning. Blough diamond When et al. turningdiamond [50] reported is turning used to the is create used fabrication micro-structures,to create of micro-structures, a diffractive the structure optical the structureelementsize is limited by size means is by limited the of diamond available by the availableturning. diamond When diamond tools diamond to about tools 5toturningµ aboutm [46 ].is 5 usedµm [46]. to create micro-structures, the structureBesideBeside size cutting is limited conditionsconditions by the and availableand machine machine diamond properties properties tools the tothe achievable about achievable 5 µm surface [46]. surface quality quality of diamond-turned of diamond- turnedpartsBeside very parts much cuttingvery much depends conditions depends on process and on processmachine andmaterial and properties material factors. the factors. achievable The The influence influence surface of process of quality process factors of factors diamond- can can be beturnedreduced reduced parts or or even very even eliminatedmuch eliminated depends by by optimizing onoptimizing process theand the operation materialoperation factors. settings. settings. The TheThe influence main factors of process influencing influencing factors thecan the partbepart reduced quality quality orare are even the the eliminatedspindle spindle speed, speed, by optimizing tool tool tip tip radius the operation and and feed feed settings.rate. Cheung Cheung The main and and Leefactors Lee [29] [29 influencing] reported reported that that the highparthigh qualityspindle spindle arespeed, speed, the spindlelarge large tool tool speed, tip tip radius radiustool tip and and radius slow slow and feed feed feed rate rate rate. generally generally Cheung improve improve and Lee surface surface [29] reported roughness. roughness. that MosthighMost machinesspindle machines speed, are are able able large to to rotatetool rotate tip at at radiusa a maximum maximum and slow speed speed feed of of about aboutrate generally 5000–6000 5000–6000 improve RPM RPM (rounds (rounds surface per perroughness. minute). minute). ToMostTo achieve machines high high are form form able accuracy accuracy to rotate the theat avertical verticalmaximum and and speed horizontal horizontal of about positon positon 5000–6000 of of the the RPM tool tool tip(rounds tip is is very very per sensitive. sensitive.minute). DeviationsToDeviations achieve leadhigh to toform a a residual residual accuracy cone cone the in invertical the the center center and or orhorizontal an error positonin the surface of the toolradius. tip Anis An very example example sensitive. of of a a diamond-turnedDeviationsdiamond-turned lead tooptical optical a residual mold mold insertcone insert in and and the the the center resulting resulting or an form form error accuracy in the surface are shown radius. in Figure An example 33.. of a diamond-turned optical mold insert and the resulting form accuracy are shown in Figure 3.

FigureFigure 3. 3. ((aa)) Diamond Diamond turned turned mold mold insert, insert, (b) form deviationdeviation ofof thethe opticaloptical aspheric aspheric surface surface with with P-V P-V< <1Figure 1µ µmm (Peak (Peak3. (a) to Diamondto Valley). Valley). turned mold insert, (b) form deviation of the optical aspheric surface with P-V < 1 µm (Peak to Valley).

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Slow Tool Tool Servo Servo Due to the high demand for non-symmetrical optics, slow slow tool tool servo servo (STS) (STS) was was developed. developed. Additional to the classical diamond turning setup, the z-axis oscillates during the process. Thus, the contact of the tool tip is intermittent. The The slow slow tool tool servo servo is is able able to to oscillate in in the area of about 25 mm. Furthermore, Furthermore, the the c-axis c-axis has has to to be be controlled controlled to to coordinate coordinate the the tool tool and and workpiece workpiece position position [51]. [51]. A slow slow tool tool servo servo is ableis able to produce to produce very very accurate accurate asymmetrical asymmetrical parts without parts without any additional any additional machine machineequipment. equipment. The spindle The speedspindle in speed these processesin these processes is typically is lowertypically compared lower compared to regular to diamond regular diamondturning with turning a rotation with speed a rotation of maximum speed of 2000 maximum RPM. For 2000 a good RPM. result, For the a good position result, accuracy the position and the accuracycoordination and ofthe the coordination axis are very of important the axis are [52 ].very Similar important to the diamond[52]. Similar turning to the process, diamond an accurateturning process,tool tip position an accurate is very tool sensitive tip position to the is fabricationvery sensitive result. to the The fabrication machining result. time is The long machining compared time to fast is longtool servocompared (FTS) to or fast diamond tool servo milling (FTS) due or todiamond the fact milling that the due z-axis to the is massivefact thatand the canz-axis only is massive achieve andlimited can speedonly achieve [53]. Using limited the STSspeed method, [53]. Using surface the roughness STS method, better surface than roughness 10 nm is achievable better than [54 10]. Thenm istechnology achievable can [54]. also The be usedtechnology to fabricate can also micro-structured be used to fabricate components. micro-structured The structure components. sizes are limited The structureby the available sizes are diamond limited toolsby the and available their nose diamond radius tools to about and 5theirµm. nose STS radius is used to to about fabricate 5 µm. di ffSTSerent is usedoptical to componentsfabricate different or optical optical mold components inserts like or micro optical lens mold arrays inserts [55], prism like micro arrays lens [56 ],arrays diffractive [55], prismoptical arrays elements [56], [54 diffractive], off-axis optical aspheric elements surfaces [54], [57], off-axis freeform aspheric optical surfaces [57], [58,59 freeform] and molds optical for surfacescompound [58,59] eye lensesand molds [60]. for compound eye lenses [60].

Fast Tool Tool Servo Servo The machine setup for a fast tool servo is very similar to the STS configurationconfiguration with a rotating workpiece andand anan oscillatingoscillating tool. tool. In In contrast contrast to to STS, STS, for for the the FTS FTS machining machining an an additional additional actuator actuator for forthe the tool tool is necessary, is necessary, which which oscillates oscillates the the tool tool tip. tip. The The fast fast tool tool servo servo allows allows an an accurate accurate positioning positioning of ofthe the tool tool but but is is limited limited by by the the stroke stroke which which is is significantly significantly smallersmaller comparedcompared to STS technology [57]. [57]. Strokes usuallyusually are are in in the the range range of aof few a few micrometers micrometers to a few to a hundred few hundred micrometers. micrometers. Some FTS Some systems FTS systemsare optimized are optimized for either for very either short very strokes short strokes<1 µm <1 or µm long or strokes long strokes up to up 1 mm to 1 [mm61,62 [61,62].]. Different Different FTS FTStechnologies technologies are reviewed are reviewed by Trumper by Trumper and Lu and [63 Lu]. In[63]. a FTS In a setup, FTS setup, the spindle the spindle has an has encoder an encoder which whichfeeds thefeeds positon the positon to the FTS, to the but FTS, does but not does put the not spindle put the in spindle position in control position [57 control]. FTS is [57]. commonly FTS is commonlyused for the used fabrication for the offabrication diamond-turned of diamond-turned surfaces with surfaces structures with like structures micro prisms, like micro lens prisms, arrays, lenstorics arrays, and o fftorics-axis sagsand off-axis with small sags sags with [64 small]. FTS sags is also [64]. a suitableFTS is also technology a suitable for technology the fabrication for the of fabricationdiffractive optical of diffractive elements optical as shown elements in Figure as shown4. Brinksmeier in Figure et 4. al. Brinksmeier reported the et fabricational. reported of the a fabricationdiffractive opticalof a diffractive element optical with submicron element with structure submicron size [ 62structure]. Resulting size [62]. surfaces Resulting with roughnesssurfaces with Ra

Figure 4. Scanning electron microscope (SEM) (SEM) image image of of a a diffractive diffractive surface generated by fast tool servo (FTS) in nickel . Reproduced with permission from [[62].62].

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3.1.2. Diamond Milling In the diamond-milling process a diamond ballball endend millmill tooltool withwith oneone cuttingcutting edgeedge isis used.used. The tool rotates at very high speed and thereby removes chipschips inin thethe micrometermicrometer range.range. In contrast to the diamond turning process, the cutting speed is not accomplished by the rotation of the workpiece but by aa fastfast rotationrotation of of the the milling milling tool. tool. Furthermore Furthermore at at least least three three controlled controlled axes axes are needed.are needed. For theFor toolthe rotation,tool rotation, usually usually an air an bearing air bearing spindle spindle with with very very low errorlow error motion motion in the in nanometer the nanometer range range is used. is Theused. rotational The rotational speed canspeed be can up tobe 100,000 up to 100,000 RPM and RPM more. and For more. the For positioning the positioning of the tool, of the three tool, or three more axesor more are axes used. are Compared used. Compared to diamond to diamond turning, turning, the milling the milling process process is significantly is significantly slower slower but off buters greatoffers freedomgreat freedom in the in design. the design. For the For diamond-milling the diamond-milling process process the quality the quality of the of milling the milling tool istool very is important,very important, Therefore, Therefore, the diamond the diamond has to has be to centered be centered perfectly perfectly on a cylindricalon a cylindrical shank shank [53,66 [53,66].]. Compared to to the the diamond-turning diamond-turning process, process, milling milling is much is much slower slower due to due a small to amaterial small materialremoval rate.removal Hence, rate. diamond Hence, milling diamond is mainly milling used is mainly for non-smooth used for non-smoothsurfaces where surfaces turning where processes turning are notprocesses applicable. are not applicable. Diamond milling is often used for the fabrication of micro lens arrays [[66],66], as shown in Figure5 5 and free-form surfacessurfaces [[64].64]. MillingMilling experimentsexperiments conductedconducted in in nickel-phosphor nickel-phosphor for for the the fabrication fabrication of of a microa micro lens lens array array resulted resulted in in surface surface quality quality Ra Ra< 10<10 nm. nm.

Figure 5. MicroMicro lens lens array array fabricated fabricated by by means means of of diamond milling measured by white light interferometry (WLI).(WLI). 3.1.3. Fly Cutting 3.1.3. Fly Cutting Fly cutting processes use a rotating tool whereby the diamond is placed off-axis on the tool. Fly cutting processes use a rotating tool whereby the diamond is placed off-axis on the tool. Therefore, the diamond tool is not permanently in contact with the material. Fly cutting can be used Therefore, the diamond tool is not permanently in contact with the material. Fly cutting can be used to create planar surfaces efficiently with optical surface quality, also on large areas. Furthermore, fly to create planar surfaces efficiently with optical surface quality, also on large areas. Furthermore, fly cutting is a suitable method to create microstructures and free form optics. Example for micro-structures cutting is a suitable method to create microstructures and free form optics. Example for micro- are Fresnel lenses [67], micro pyramid arrays [68] and diffractive gratings [69]. Brecher et al. used the structures are Fresnel lenses [67], micro pyramid arrays [68] and diffractive gratings [69]. Brecher et fly-cutting process for the fabrication of a complex free form mold [70]. The achievable form accuracy al. used the fly-cutting process for the fabrication of a complex free form mold [70]. The achievable is in the sub-micrometer range and the resulting surface quality in the nanometer range [71]. The form accuracy is in the sub-micrometer range and the resulting surface quality in the nanometer fly-cutting technology can also be used to create large plane surfaces quickly with a surface roughness range [71]. The fly-cutting technology can also be used to create large plane surfaces quickly with a Ra <10 nm. Figure6 shows a flat optical surface fabricated by fly cutting with a surface roughness of surface roughness Ra <10 nm. Figure 6 shows a flat optical surface fabricated by fly cutting with a Ra = 8 nm. surface roughness of Ra = 8 nm.

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FigureFigure 6. 6. ( (aa)) OpticalOptical flatflat surfacesurface onon aa moldmold insert insert fabricated fabricated by by fly fly cutting; cutting; ( b(b)) Resulting Resulting surface surface roughnessroughness of of Ra Ra= =8 8 nm nm measured measured by by WLI. WLI. 3.1.4. UPM of Steel 3.1.4. UPM of Steel As already mentioned, diamond machining is usually limited to polymers and non-ferrous . Since hardenedAs already mentioned, are the most diamond popular machining is usually material, limited a lot of to research polymers has beenand non-ferrous conducted tometals. achieve Since the machinabilityhardened steels of are ferrous the most materials popular with engineering diamond tools material, in order a lot to of use research the benefits has been of diamondsconducted as to a achieve cutting the material. machinability A good of review ferrous on materials diamond with cutting diamond of ferrous toolsmetals in order is givento use bythe Libenefits et al. [72 of]. diamonds The review as not a cutting only focuses material. on di Afferent good methods review on for diamond diamond cutting ofof ferrousferrous materials metals is butgiven also by on Li the et wearal. [72]. mechanisms The review that not are only at workfocuses during on different the cutting methods process. for Thediamond following cutting wear of mechanismsferrous materials can be but distinguished also on the [wear73]: mechanisms that are at work during the cutting process. The following wear mechanisms can be distinguished [73]: Adhesion and formation of a built-up edge; • Adhesion and formation of a built-up edge; Abrasion, microchipping, fracture and fatigue; • Abrasion, microchipping, fracture and fatigue; Tribothermal wear; • Tribothermal wear; Tribochemical wear. • Tribochemical wear. The main effects for tool wear are chemical mechanisms. Paul et al. further divided the chemical The main effects for tool wear are chemical mechanisms. Paul et al. further divided the chemical mechanisms into diffusion, oxidation, graphitization and carbide-formation and linked the wear to the mechanisms into diffusion, oxidation, graphitization and carbide-formation and linked the wear to presence of unpaired d-electrons in the [74]. Metals with unpaired d-electrons lead to strong the presence of unpaired d-electrons in the metal [74]. Metals with unpaired d-electrons lead to strong wear on the diamond tool while tool wear is negligible when machining metals without unpaired wear on the diamond tool while tool wear is negligible when machining metals without unpaired d- d-electrons. Diffusion of carbon atoms into the ferrous material takes place after the diamond tool electrons. Diffusion of carbon atoms into the ferrous material takes place after the diamond tool graphitizes on the surface [75]. Molecular dynamics simulation supported these investigations and graphitizes on the surface [75]. Molecular dynamics simulation supported these investigations and helped to gain a deeper understanding of the mechanisms on the atomic and nanometer scale [76,77]. helped to gain a deeper understanding of the mechanisms on the atomic and nanometer scale [76,77]. To avoid severe tool wear a lot of research has been conducted to create methods which reduce To avoid severe tool wear a lot of research has been conducted to create methods which reduce the tool wear of diamond when cutting ferrous materials. Proposed methods are: the tool wear of diamond when cutting ferrous materials. Proposed methods are: Using ultrasonic vibration cutting; • Using ultrasonic vibration cutting; Optimizing cutting conditions; • Optimizing cutting conditions; Modifying the cutting tool; • Modifying the cutting tool; Using binderless cubic boron nitride (cBN) tools. • Using binderless cubic boron nitride (cBN) tools. UltrasonicUltrasonic vibration vibration cutting cutting is is the the most most promising promising method method for for the the machining machining of of ferrous ferrous materials materials usingusing a a diamond diamond tool. tool. Moriwaki Moriwaki and and Shamoto Shamoto were were the firstthe tofirst propose to propose a vibrating a vibrating cutting cutting tool to reduce tool to toolreduce wear tool [78 wear]. The [78]. cutting The toolcutting is elliptically tool is elliptically vibrating vibrating and, therefore, and, therefore, significantly significantly reducing reducing friction forcefriction and force contact and time contact of the time diamond of the with diamond the substrate with the [79 ]. substrate Because [79]. of the Because elliptical of movement the elliptical of themovement diamond of tool the the diamond technology tool is the often technology referred to is as often elliptical referred vibration to as cutting. elliptical Di ffvibrationerent variations cutting. ofDifferent the technology variations and of applications the technology are and reviewed applications by Zhang are reviewed et al. in [80 by]. Zhang Ultrasonic et al. vibrationin [80]. Ultrasonic cutting canvibration be used cutting in a turning can be processused in ora turning with a movingprocess or x/y with/z stage. a moving The technology x/y/z stage. is The not technology just very useful is not forjust the very machining useful for of the ferrous machining materials of ferrous with a materials diamond with tool a but diamond also enables tool but the also micro-structuring enables the micro- of surfacesstructuring with of a surfaces broad range with ofa broad structures range like of V-groovesstructures like and V-grooves pyramids asand well pyramids as free formsas well [ 81as, 82free]. Atforms thesame [81,82]. time, At opticalthe same surface time, qualityoptical withsurface Ra quality<10 nm with is achievable Ra <10 nm [83 is]. achievable [83].

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Optimized Cutting Conditions Optimized Cutting Conditions Another approach to reduce diamond wear is to modify the cutting conditions. Research teams tried Another different approach cutting to conditions reduce diamond like reduced wear is to temperature modify the andcutting machining conditions. under Research a gaseous teams triedenvironment. different cutting Evans conditions and Bryan like performed reduced temperature diamond and turning machining under under cryogenic a gaseous conditions environment. and Evansreported and significantly Bryan performed reduced diamond tool wear turning and achieved under cryogenic a surface conditions roughness and better reported than significantly25 nm [73]. reducedDue to toolthe wearlow temperatureand achieved aduring surface the roughness cutting better process, than chemical 25 nm [73 ]. reactions Due to the are low slowed temperature down duringsignificantly the cutting which process, leads to chemical reduced reactions tool wear. are slowed Casstevens down examined significantly diamond which toolleads wear to reduced when toolmachining wear. steelCasstevens under examined a carbon-rich diamond atmosphere tool wear and when found machining that tool steel wear under under a carbon-rich a methane atmosphereenvironment and reduces found tool that wear tool significantly wear under and a methane allows to environment achieve optical reduces surface tool finish wear with significantly Ra <12.5 andnm allows[84]. However, to achieve other optical research surface groups finish with report Ra < contrary12.5 nm [ results.84]. However, Machining other under research inert groups gas reportenvironment contrary like results. argon and Machining under does inertnot reduce gas environment the tool wear like compared argon and to air, nitrogen as reported does notby reduceBrinksmeier the tool and wear Gläbe compared [85]. to air, as reported by Brinksmeier and Gläbe [85].

Tool Modification Modification Another method to increase wear resistance of diamond tools areare protectiveprotective coatings.coatings. Thus, a direct contact between the diamond and the ferrous materialmaterial cancan bebe prevented.prevented. Klocke et al. discuss didifferentfferent coated tools forfor metalmetal cutting,cutting, butbut diddid notnot focusfocus onon diamonddiamond toolstools [[86].86]. Brinksmeier and Gläbe used and TiC coatings on diamond tools to reduce tool wear and found, that flank flank wear is reduced as long as the protective coating is still in place but the layers layers are are removed removed abrasively during the cutting process [[85].85]. This This leads leads to the conclusion, that coatings can prevent chemical wear but susufferffer from abrasiveabrasive wear.wear.

Binderless Cubic Cubic Boron Boron Nitride Nitride (cBN) (cBN) One of the the most most promising promising methods methods to to obtain obtain optical optical surfaces surfaces in inferrous ferrous materials materials is the is the use use of ofbinderless binderless cubic cubic boron boron nitride nitride tools tools (binderless (binderless cBN). cBN). cBN cBN shows shows a avery very good good heat heat and chemical resistance andand hashas thethe second-highest second-highest hardness hardness after after diamond diamond [87 [87].]. Thereby, Thereby, very very small small grain grain sizes sizes are neededare needed to achieve to achieve low surfacelow surface roughness. roughness. Binderless Binderless cBN tools cBN showtools ashow strong a wearstrong resistance wear resistance against adhesion,against adhesion, abrasion abrasion and attrition and [attrition88]. Uhlmann [88]. Uhlmann et al. reported et al. reported a surface roughnessa surface roughness of Ra <10 of nm Ra using <10 anm binderless using a binderless cBN tool in cBN a turning tool in process a turning of stainlessprocess of steel stainless with a steel hardness with ofa hardness H = 52 HRC of H [89 = ].52 While HRC cBN[89]. toolsWhile are cBN already tools are widely already used widely as a cutting used as material a cutting the material availability the availability of binderless of cBN binderless tools is cBN still verytools limited.is still very Regular limited. cBN Regular tools are cBN usually tools sinteredare usually with sintered binder with metals, binder which metals, are mainly which responsibleare mainly forresponsible reduced wear for reduced resistance wear [87]. resistance A scanning [87]. electron A scanning microscope electron (SEM) microscope image of a binderless (SEM) image cBN of tool a isbinderless shown in cBN Figure tool7. is shown in Figure 7.

Figure 7.7. Scanning electronelectron microscope microscope (SEM) (SEM image) image of of binderless binderless cubic cubic boron boron nitride nitride (cBN) (cBN) cutting cutting tool. tool.

Micromachines 2019, 10, 233 9 of 25 Micromachines 2019, 10, 233 9 of 25 3.2. Electric Discharge Machining (EDM)

3.2.Electric Electric discharge Discharge machining Machining (EDM)(EDM) is a thermo-electric machining process in which a series of electrical discharges between the tool electrode and the workpiece removes material [90]. It is importantElectric to mention discharge that machining the discharge (EDM) sparks is a thermo-electricproduced in the machining gap between process tool in electrode which a and series workpieceof electrical remove discharges material between on both the toolparts electrode by melting and and the workpiece evaporation. removes The whole material process [90]. Itis is performedimportant in to a mentiondielectric that medium. the discharge The EDM sparks process produced is limited in theto conductive gap between or toolsemi-conductive electrode and materials.workpiece remove material on both parts by melting and evaporation. The whole process is performed in aThere dielectric are a medium.number of The different EDM process process is variants limited tofor conductive the EDM technology. or semi-conductive A good materials.overview is given byThere Uhlman are a numberet al. [91]. of Using different EDM process for the variants fabrication for the of EDM optical technology. mold inserts A good is a overviewrelatively is new given approach.by Uhlman Takino et al. and [91]. Hosaka Using EDMproposed for the the fabrication use of EDM of opticalfor the moldfabrication inserts of is a a micro relatively lens newmold approach. insert [92].Takino Thereby and a Hosaka ball-type proposed electrode the is used use of for EDM shaping for thethe fabricationmold insert ofmade a micro of stainless lens mold steel. insert In [93] [92 ]. theyThereby propose a ball-type to use a electrodenine-ball iselectrode, used for so shaping that multiple the mold lenses insert can made be offabricated stainless simultaneously. steel. In [93] they Thepropose form to accuracy use a nine-ball was reported electrode, to so be that 10 µm multiple with lenses a surface can be roughness fabricated of simultaneously. 0.85 µm. For Theoptical form applicationsaccuracy was this reported is not sufficient to be 10 µandm withpost-processes a surface roughness like grinding, of 0.85 cuttingµm. For or polishing optical applications are necessary this is to notobtain suffi smoothcient and and post-processes accurate optical like surfaces. grinding, But cutting with orfurther polishing optimization are necessary of the to EDM obtain process smooth the and surfaceaccurate quality optical could surfaces. be improved. But with Other further publications optimization report of the an EDMachievable process surface the surface roughness quality of >0.3 could µmbe using improved. the EDM Other technology publications but reportin those an cases achievable the aim surface was not roughness to produce of > 0.3opticalµm usingmold theinserts EDM [91,94].technology but in those cases the aim was not to produce optical mold inserts [91,94]. Micro-EDMMicro-EDM can can also be be used used to tofabricate fabricate micro-structures. micro-structures. The technology The technology is especially is especially powerful, powerful,when micro-structures when micro-structures with high with aspect high ratiosaspect are ratios needed are needed [95]. Structure [95]. Structure sizes downsizes down to 3 µ mto 3 are µmpossible are possible and aspectand aspect ratio ratio can can be asbe highas high as as 100 100 [96 [96].]. AnAn extensive review review about about issues issues with with the the micro-EDMmicro-EDM process process is isgiven given by by Pham Pham et etal. al. [97]. [97 An]. An example example of ofan an optical optical mold mold insert insert fabricated fabricated by by EDMEDM technology technology is isshown shown in inFigure Figure 8.8 .

Figure 8. Micro lens array mold insert fabricated by electric discharge machining (EDM). (a) Mold Figure 8. Micro lens array mold insert fabricated by electric discharge machining (EDM). (a) Mold surface observed with optical microscope, (b) cross section of the surface along line AA’. Reproduced surface observed with optical microscope, (b) cross section of the surface along line AA’. Reproduced with permission from [92]. with permission from [92]. 3.3. Electrochemical Machining (ECM) 3.3. Electrochemical Machining (ECM) Electrochemical machining (ECM) uses the anodic dissolution of metals during an electrolysis processElectrochemical for the material machining removal (ECM) [98]. uses Similar the anodic to the EDM dissolution process, of themetals machining during shapean electrolysis is defined processby the for shape the material of the electrode removal and [98]. the Similar workpiece to the hasEDM to process, be conductive. the machining The resulting shape is surface defined is by very thesmooth shape andof the can electrode be used forand the the smoothing workpiece of has micro-metallic to be conductive. products The [99 resulting]. Compared surface to traditional is very smoothmachining and can technologies, be used for ECM the smoothing has several of advantages micro-metallic like products high material [99]. removalCompared rate, to applicabilitytraditional machiningregardless technologies, of the material ECM hardness, has several no tool advantages wear and smooth like high surfaces material [98 ].removal The technology rate, applicability can be used regardlessfor post-processing of the material a regularly hardness, machined no tool workpiece. wear and Thesmooth technique surfaces is then [98]. referred The technology as electrochemical can be usedpolishing. for post-processing The quality of the a regularly resulting surface machined is depending workpiece. severely The technique on the type is of then the electrolyte referred as and electrochemicalthe workpiece polishing. material and The can quality reach of optical the resulting quality [ 100surface]. Using is depending a modified severely ECM process, on the Kurita type of and theHattori electrolyte achieved and the a surface workpiece roughness material of and 0.06 canµm reach [101]. optical But at quality this point, [100]. optical Using applications a modified ECM remain process,very rare. Kurita The and process Hattori is more achieved common a surface for the roughness elimination of of0.06 burr µm in [101]. molds But [102 at ].this point, optical applicationsTo decrease remain the very removal rare. The rate process to a minimum, is more shortcommon pules for and the a elimination low current of are burr required in molds [99 ].[102]. When a pulsedTo decrease current the is used removal instead rate of to DC a current,minimum, the technologyshort pules is and referred a low as current PECM. Thus,are required the machining [99]. When a pulsed current is used instead of DC current, the technology is referred as PECM. Thus, the

Micromachines 2019, 10, 233 10 of 25 accuracy and process stability can be improved [90]. De Silva et al. used this process on chrome steel and achieved a surface roughness of 0.03 µm with a form accuracy better than 5 µm [103]. The main factors affecting the process are the electrolyte, the electrolyte flow conditions in the inter-electrode gap and the gap size [90]. When ECM is combined with the STM (scanning tunneling microscope) technology, microgrooves with submicron width can be achieved [99].

3.4. Grinding Grinding is commonly used for the fabrication of optical molds. Therefore a fine grinding process is used to achieve high form accuracy. Since the achievable roughness during the grinding process is not sufficient for optical applications a post treatment process like polishing is mandatory. Recent developments aim to improve surface quality to overcome the necessity of a subsequent polishing step in the future. Polishing will be discussed in this review in a following section. Using a grinding process, surface roughness in the nanometer range can be achieved [104,105], but the results depend strongly on the tool wear, workpiece material and process parameters. In this paper, focus is placed on ultra-precision grinding since for optical applications high accuracy and low surface roughness are required. An extensive review of ultra-precision grinding has been provided by Brinksmeier [106]. In contrast to polishing and lapping, grinding uses fixed abrasives which are in interrupted contact with the workpiece. A main driving factor for grinding is the possibility to machine brittle and hard materials like ceramics, glass, carbides, , hardened steels and semiconductor materials which can with difficulty be machined with ultra-precision machining [106]. Grinding processes can produce very accurate surfaces but need long machining times [57]. For optical applications, grained diamond wheels or cBN wheels are often used to achieve good form accuracy and surface roughness with Ra < 10 nm [107]. An important factor to produce high quality surfaces by grinding is to ensure a stable condition of the grinding wheel. A suitable method is the electrolytic in-process dressing (ELID) process, first proposed by Nakagawa and Ohmori [108].This in-process dressing prevents high wheel wear resulting in stable grinding conditions. The main applications in the optical field are the of spherical glass lenses or molds for glass injection molding [104].

4. Micro-Structuring Technologies

4.1. Lithographie, Galvanik and Abformung (LIGA) The LIGA technology was developed at Karlsruhe Nuclear Research Center by Becker and Ehrfeld in the 1980s [109]. LIGA stands for the three German words Lithographie, Galvanik and Abformung. The LIGA technology is broadly used for the fabrication of injection molding tools [110,111]. For parts with high aspect ratio structures, the technology has particular advantages compared to other fabrication technologies [112]. Micro-structures <1 µm can be produced using this technology [113]. The LIGA technology describes a process chain of three consecutive processes. The first step is a lithography process for the structuring of a substrate. Afterwards, a nickel process is performed to create a mold using the structured substrate as a master. A detailed description of this process can be found in [114]. In the final step, parts can be produced using injection molding or hot embossing. The process chain is described in detail in [109]. A main application of the LIGA process in the optical field is the fabrication of DOE (diffractive optical elements) [115–119]. However, lithography for diffractive optical elements is expensive and time-consuming when the DOE level increases to over 4 [30]. A modified LIGA process can also be used for the fabrication of micro lens arrays with a resulting surface roughness of 1 nm [120], which is shown in Figure9. Further optical components that can be fabricated with the LIGA technology are micro-prisms [8], micro- [121] and waveguides [122]. Micromachines 2019, 10, 233 11 of 25 Micromachines 20192019,, 1010,, 233233 11 11 of of 25 25

FigureFigure 9. (((aaa))) MoldMold Mold insertinsert insert withwith with aa a micromicro lenslens array array fabricated fabricated usingusing the the Lithographie, Lithographie, GalvanikGalvanik andand AbformungAbformung (LIGA) (LIGA) process process and (b)) replicated replicated micro micro lenses lenses in in a a a polymer polymer polymer film. film. film. Reproduced Reproduced with with permissionpermission from from [123]. [123].

4.2.4.2. Nanoimprint Nanoimprint Lithography Lithography (NIL) (NIL) NanoimprintNanoimprint lithography lithography (NIL) (NIL) is a is lithographic a lithographic technique technique that allows that high-throughput allows high-throughput patterning patterningof polymer of nanostructures. polymer nanostructures. The structures The structures can be produced can be withproduced a high with accuracy a high at accuracy low costs. at low The costs.costs.process TheThe was processprocess firstdescribed waswas firstfirst describeddescribed by Chou et byby al. ChouChou in 1995 etet al.al. [124 inin 19951995]. NIL [124].[124]. describes NILNIL describesdescribes a process aa consistingprocessprocess consistingconsisting of three ofmain three steps. main First, steps. a master First, mold a master is fabricated mold is usingfabricated a micro using structuring a micro technology structuring like technology electron-beam like electron-beamelectron-beamlithography or interference lithography lithography lithography. or or interference interference In a second lithography. lithography. step the In In master a a second second structure step step is the the duplicated master master structure structure into a mold. is is duplicatedThe mold can into be a hard, mold. soft The or mold a hybrid can of be those hard, [125 soft]. Theor a finalhybrid step of is those the imprint [125]. The process. final Thereby step is the the imprintimprintmold structure process.process. is TherebyThereby imprinted thethe into moldmold a resist structurestructure on a substrateisis imprintedimprinted which intointo leads aa resistresist to a onon transfer aa substratesubstrate of the whichwhich microstructures. leadsleads toto aa transfertransferAfterwards, ofof thethe the microstructures.microstructures. resist has to be Afterwards, cured.Afterwards, There thethe are resistresist two variations hashas toto bebe cured.cured. of the NILThereThere process. areare twotwo Thermal variationsvariations NIL ofof uses thethe NILheating process. of the Thermal resist above NIL theuses glass heating transition of the temperature resist above duringthe glass the transition imprint step temperature with subsequent during thethecooling imprintimprint toroom stepstep withwith temperature. subsequentsubsequent UV-NIL coolingcooling uses toto roomroom ultraviolet temperature.temperature. light to UV-NILUV-NIL cure the usesuses resist. ultravioletultraviolet Therefore, lightlight the totomold curecure thethehast resist. resist. to be transparent. Therefore, Therefore, the the An mold mold extensive hast hast review to to be be transparent.on transparent. NIL focusing An An on extensive extensive different review review process on on variations, NIL NIL focusing focusing required on on differentmaterial propertiesprocess variations, and nanostructure required replicationmaterial properties is given by and Guo nanostructure [126]. A schematic replication of the nanoimprint is given by Guoprocess [126]. is shownA schematic in Figure of the 10 .nanoimprint process is shown in Figure 10.

Figure 10. Nanoimprint lithography (NIL) process chain. Figure 10. Nanoimprint lithography (NIL) process chain. Using the NIL technology nanostructures with features sizes <10 nm can be produced and Using the NIL technology nanostructures with features sizes <10 nm can be produced and replicated [127]. Therefore, NIL is often used for photonics applications since the optical surface replicatedreplicated [127].[127]. Therefore,Therefore, NILNIL isis oftenoften usedused forfor photonicsphotonics applicationsapplications sincesince thethe opticaloptical surfacesurface properties of substrates can be controlled precisely. Applications are holograms, diffractive structures, properties of substrates can be controlled precisely. Applications are holograms, diffractive anti-reflective structures, micro-lens arrays and roll-to-roll applications. Since nanoimprint lithography structures,structures, anti-reflective anti-reflective structures, structures, micro-lens micro-lens arrays arrays and and roll-to-roll roll-to-roll applications. applications. Since Since is a method for patterning nanostructures, surface roughness is not a focus of the research. nanoimprint lithography is a method for patterning nanostructures, surface roughness is not a focus of the research.

Micromachines 2019, 10, 233 12 of 25 Micromachines 2019, 10, 233 12 of 25

4.3. Laser Direct Writing 4.3. LaserMicromachines Direct 2019 Writing, 10, 233 12 of 25 In contrast to laser machining, laser direct writing (LDW) uses a laser beam for the structuring of a photoresist,4.3.In contrastLaser Direct tocomparable laserWriting machining, to a lithography laser direct process writing used (LDW) in semiconductor uses a laser beam manufacturing. for the structuring A thin of filma photoresist, of photoresist comparable is deposited to a lithography on a substrate. process used Afterwards, in semiconductor the LDW manufacturing. process is used A thin for film the In contrast to laser machining, laser direct writing (LDW) uses a laser beam for the structuring structuringof photoresist of the is deposited photoresist. on aTherefore, substrate. the Afterwards, substrate theis scanned LDW process by a focused is used laser for the beam structuring whereby of of a photoresist, comparable to a lithography process used in semiconductor manufacturing. A thin the laser intensity is synchronously modulated [114]. In the final step the photoresist has to be the photoresist.film of photoresist Therefore, is deposited the substrate on a is substrate. scanned by Afterwards, a focused the laser LDW beam process whereby is used the laser for theintensity developed.is synchronouslystructuring The of LDW the modulated photoresist. process [is114 describedTherefore,]. In the thein final detailsubstrate step in the [128].is scanned photoresist by a hasfocused to be laser developed. beam whereby The LDW processtheLDW islaser describedallows intensity the in fabrication is detail synchronously in [ 128of binary]. modulated and continuous [114]. In the structures final step [114]. the photoresist LDW is very has often to be used for thedeveloped.LDW fabrication allows The the LDW of fabrication Fresnel process oris of described diffractive binary and in detail structures, continuous in [128]. mostlystructures on [114 planar]. LDW substrates is very often [129] used where for continuousthe fabricationLDW structuring allows of Fresnel the fabrication is or beneficial diffractive of binary structures,for theand continuous optical mostly performance. on structures planar substrates[114]. Compared LDW [ 129is very ] to where often a lithographic continuous used approach,structuringfor the LDW fabrication is beneficial avoids of the for Fresnel need the opticalfor or diffractivesubmicron performance. structures, alignment Compared mostly for consecutive on to planar a lithographic substratesexposure [129]steps. approach, where LDW avoidscontinuousFor the the need replication structuring for submicron of isthese beneficial alignment kinds of for for structures, the consecutive optical a performance.mold exposure insert steps. Comparedhas to be fabricated. to a lithographic Therefore, nickelapproach,For electroplating the replication LDW avoids can of thesebethe used.need kinds for The submicron of structures, produced alignment astructures mold for insert consecutive in hasa photoresist to be exposure fabricated. represent steps. Therefore, the master nickel For the replication of these kinds of structures, a mold insert has to be fabricated. Therefore, whichelectroplating is afterwards can be cast used. [130]. The The produced resulting structures nickel form in a can photoresist then be representused as a themold master insert which for the is nickel electroplating can be used. The produced structures in a photoresist represent the master replication of the structure with the injection molding process. An example of an electroplated mold afterwardswhich is cast afterwards [130]. The cast resulting [130]. The nickel resulting form nickel can thenform becan used then as be a used mold as insert a mold for insert the replication for the of insertthe structurereplication with a diffractive with of the the structure injection structure with molding isthe shown injection process. in moldingFigure An 11. process. example An of example an electroplated of an electroplated mold insert mold with a diffractiveinsert with structure a diffractive is shown structure in Figure is shown 11. in Figure 11.

FigureFigureFigure 11. 11. (11.a) Electroplated(a) Electroplated Electroplated mold mold mold insert insert insert withwith diffractive with diff structure, ractivestructure, structure,(b )( bSEM) SEM image (imageb) of SEM the of diffractivethe image diffractive of the structure.diffractivestructure. structure.

RecentRecentRecent developments developments developments in in in LDW LDW LDW made mademade itit possible possible toto to structure structure structure curved curved curved surfaces surfaces surfaces overcoming overcoming overcoming the the the limitation of planar substrates [131]. This provides additional freedom for the optical design of limitationlimitation of of planar planar substrates substrates [131]. [131]. This This provides provides additional additional freedom freedom for for the the optical optical design design of of specialized optical systems. Structure sizes usually tend to be around 5 µm to obtain sufficient µ specializedspecializeddiffraction optical optical efficiency systems. systems. of about Structure Structure 70 % but sizes sizescan also usually usually go down tend tend to to to1–3 be be µm around around with further 5 5 µmm reduction to to obtain obtain of sufficient sutheffi cient diffractiondiffractionefficiency efficiency effi [132].ciency The of of achievable about about 70 70% surface % but roughness can also is go reported down to be1–3 25 µmµnm,m withnaming further the raster reduction reduction scanning of of the the efficiencyefficiencyand positioning [132]. [132]. The The errors achievable achievable as the main surface surface influences roughness roughness [114]. is isAn reported reported example to toof be bea curved 25 25 nm, nm, substrate naming naming withthe the raster diffractive raster scanning scanning andand positioningmicro-structures positioning errors errors produced as as the the main mainby LDW influences influences is shown [114]. [in114 Figure]. An An example12. example of of a a curved curved substrate substrate with with diffractive diffractive micro-structuresmicro-structures produced produced by LDW is shown in Figure 12.12.

Figure 12. (a) Curved glass master with diffractive structure produced by laser direct writing (LDW), (b) confocal measurement of the diffractive structure. Reproduced with permission from [133]. FigureFigure 12. 12. ((aa)) Curved Curved glass glass master master with with diffractive diffractive structure structure produced produced by by laser laser direct direct writing writing (LDW), (LDW), ((bb)) confocal confocal measurement measurement of of the the diffractive diffractive structure. Reproduced with permission from [[133].133].

MicromachinesMicromachines 20192019,, 1010,, 233 233 1313 of of 25 25

4.4. E-Beam Writing 4.4. E-Beam Writing Electron beam writing is an alternative method for the structuring of a photoresist. Similar to the LDWElectron technology, beam writing it is used is an for alternative the fabrication method offor a master the structuring structure of with a photoresist. a subsequent Similar nickel to electroplatingthe LDW technology, process. The it is technology used for the was fabrication originally ofdeveloped a master for structure semiconductor with a subsequent mask writing nickel but canelectroplating also be used process. for the The fabrication technology of micro was originally optics. E-beam developed writing for semiconductoris especially suitable mask writingfor the generationbut can also of be Fresnel used for and the diffractive fabrication structures of micro [134,135]. optics. E-beam Figure writing 13 shows is especially a Fresnel suitable zone plate for fabricatedthe generation by e-beam of Fresnel writing. and di Byff ractive scanning structures the electron [134, 135 beam]. Figure over a13 substrate, shows a Fresnel continuous zone relief plate microstructuresfabricated by e-beam can also writing. be produced. By scanning Thereby the the electron writing beam area of over the aelectron substrate, beam continuous is limited reliefto a fewmicrostructures millimeters. canFor alsothe befabrication produced. of Therebylarger substrates, the writing the area parts ofthe can electron be moved beam on is a limitedcontrolled to a xy- few stage.millimeters. To obtain For high-resolution the fabrication of structures, larger substrates, the positioning the parts has can to be be moved very onaccurate. a controlled The scanning xy-stage. approachTo obtain allows high-resolution a high flexibility structures, for the positioningwriting process has tobut be results very accurate.in long writing The scanning times. approach allowsIt isa high worth flexibility mentioning for the that writing for the process e-beam but processresults in additional long writing arrangements times. are necessary comparedIt is worth to LDW. mentioning To avoid that charging for the e-beameffects, processan additional additional conducting arrangements film under are necessary the photoresist compared is necessary.to LDW. To Furthermore avoid charging the e processffects, an has additional to be performed conducting under film under vacuum the photoresistconditions. is A necessary. detailed descriptionFurthermore of the the process electron has beam to be performed process can under be found vacuum in conditions.[136]. Since A the detailed technology description is used of the in semiconductorelectron beam processprocesses, can a be lot found of effort in [has136 ].been Since made the technologyto push the isachievable used in semiconductor resolution to the processes, limits. Thea lot resolution of effort has of e-beam been made writing to push in a PMMA-based the achievable photoresist resolution tocan the be limits. lower Theas 10 resolution nm [137]. ofSimilarly e-beam towriting the LDW in a PMMA-basedprocess, the nickel photoresist electroplating can be lower process as 10can nm be [137 used]. Similarlyto transfer to the LDWstructures process, into the a moldnickel insert. electroplating process can be used to transfer the structures into a mold insert.

FigureFigure 13. 13. ((aa)) Fresnel Fresnel zone zone plate plate fabricated fabricated by by e-beam e-beam writing, writing, ( (bb)) magnified magnified fiew fiew of of the the fresnel fresnel zone zone plate.plate. Reproduced Reproduced with with permission permission from from [138]. [138].

TheThe technology technology can can also also be be used used as as a a polishing polishing process process for for metal metal surfaces. surfaces. Therefore, Therefore, a a defocused defocused electronelectron beam beam is is used used with with a a spot spot of of some some hundred hundred microns microns and and scanned scanned over over the the surface surface [139]. [139]. Thereby,Thereby, the the metal surface melts which leads to a reduced surface roughness. Using Using this this method method a a largelarge area area can can be be smoothed smoothed within within minutes. minutes. Uno Uno et et al. al. reported reported a a reduction reduction of of the the surface surface roughness roughness fromfrom Rz Rz == 66 µmµm to to Rz Rz == 11 µmµm using using this this method method [140]. [140]. Another Another polishing polishing method method using using the the e-beam e-beam technologytechnology uses uses an an explosive explosive electron electron emission emission applied applied on on a a surface surface without without focusing focusing the the e-beam. e-beam. Thereby,Thereby, the the surface surface roughness roughness can can be be reduced reduced from from Ra Ra = =1 1µmµm to to Ra Ra = 0.2= 0.2 µmµ m[139]. [139 Moreover]. Moreover the the e- beame-beam polishing polishing treatment treatment improves improves corrosion corrosion and and oxidation oxidation resistance resistance significantly significantly [141]. [141 ].

4.5.4.5. Ion Ion Beam Beam Lithography Lithography IonIon beam beam lithography lithography uses uses a a focused focused ion ion beam beam (FIB) (FIB) to to scan scan a a surface surface and, and, thereby, thereby, very very small small structuresstructures can can be be created. created. The The technology technology is is very very similar similar to to e-beam e-beam writing, writing, but but the the ions ions are are much much heavierheavier and and heavier heavier charged. charged. The The ion ion beam beam has has a a smaller smaller wavelength wavelength than than electrons electrons and, and, therefore, therefore, thethe resolution resolution is is even even higher higher than than in in case case of of e-beam e-beam lithography lithography [142]. [142]. Like Like e-beam e-beam lithography, lithography, ion ion beambeam lithography lithography is is a a direct direct writing writing process. process. Therefore, Therefore, there there is is a a lot lot of of freedom freedom in in the the structuring structuring designdesign but but also also processing processing time time tends tends to to be be long. long. Structure Structure sizes sizes smaller smaller than than 5 5 nm nm have have been been reported reported usingusing FIB FIB [143]. [143]. Early Early applications applications for for FIB FIB were were mainly mainly failure failure analysis analysis of of integrated integrated microelectronics, microelectronics, which is still an important field of activity [144]. Nowadays further applications are the fabrication

Micromachines 2019, 10, 233 14 of 25

Micromachines 2019, 10, 233 14 of 25 which is still an important field of activity [144]. Nowadays further applications are the fabrication of micro-channels, micro-structured optics and waveguides [[145–147].145–147]. A subsequent electroplating process isis necessarynecessary to to transfer transfer the the micro-structures micro-structures into into a mold a mold insert, insert, mostly mostly provided provided as sheet as metalsheet metalas a nickel as a nickel shim. shim. The technology is also used as a polishing method for lithographic optics. These optics require ultra-smooth surfaces surfaces on on lenses with 170 mm diameter and larger. Using the FIB method with low energy ions to remove form errors and reduce roughness achieves surface roughness Ra <1<1 nm nm [148]. [148].

4.6. Laser Laser Machining Machining The use use of ofshort short and ultrashort and ultrashort laser pulses laser is pulsesan upcoming is an technology upcoming for technology different micromachining for different micromachiningapplications. The applications. method can be The used method for structuring can be usedmolding for tools structuring [141,149 molding]. Thereby, tools high-intensity [141,149]. Thereby,short or ultrashort high-intensity laser pulsesshort or are ultrashort used for laser creating pulses micro-features are used for as creating shown inmicro-features Figure 14. Pulse as shown width incan Figure reach 14. from Pulse nanoseconds width can downreach from to femtoseconds. nanoseconds Examplesdown to femtoseconds. for applied lasers Examples are excimer, for applied CO2 lasersor Nd:YAG are excimer, lasers. CO An2 extensiveor Nd:YAG review lasers. of An laser extensive beam micro review machining of laser beam is given micro in [ 150machining]. A main is givenadvantage in [150]. of laser A main machining advantage is the factof laser that virtuallymachining all materialsis the fact can that be virtually machined all [151 materials]. The resulting can be machinedquality very [151]. much The depends resulting on thequality combination very much of laser,depends workpiece on the andcombination process parameters. of laser, workpiece When all andthese process parameters parameters. are optimized, When all laser these machining parameters can are even optimized, be used as laser a polishing machining treatment can even resulting be used in assurface a polishing qualities treatment Ra <1 µ resultingm [152,153 in]. surface Structures qualities with Ra dimensions <1 µm [152,153]. down to Structures 10 µm can with be produced dimensions by downlaser machining to 10 µm [can99]. be Since produced the laser by spot laser represents machining a well-defined [99]. Since energythe laser input, spot complexrepresents structured a well- definedworkpieces energy can input, be polished complex and structured machined workpieces as well. Laser can polishingbe polished is reviewedand machined by Bordachev as well. Laser et al. polishingin [154]. is reviewed by Bordachev et al. in [154].

Figure 14. Laser-machined micro lens array with aspheric shape using an excimer laser Reproduced with permission from [[155].155].

4.7. Polishing/Lapping 4.7. Polishing/Lapping Polishing is a finishing treatment with undefined cutting edge to create smooth surfaces with very Polishing is a finishing treatment with undefined cutting edge to create smooth surfaces with low roughness. Polishing is not a structuring process, therefore the geometry has to be formed by a very low roughness. Polishing is not a structuring process, therefore the geometry has to be formed bydiff aerent different technology technology in advance. in advance. There There is a broad is a rangebroad of range process of process variations, variations, but all have but inall common have in commonthe fact that the anfact abrasive that an materialabrasive ismaterial used to is smooth used to a surface.smooth a An surface. overview An overview on existing on polishing existing polishingprocesses is processes given by Yuanis given et al. by [156 Yuan]. The et abrasives al. [156]. are The suspended abrasives in are a fluid. suspended The suspended in a fluid. abrasive The suspendedis called slurry. abrasive Polishing is called can slurry. create Polishing very high can surface create qualities very high in thesurface nanometer qualities and in sub-nanometerthe nanometer andrange sub-nanometer [157], but the range removal [157], rate but is typicallythe removal very rate low. is Totypically create very this kindlow. ofTo high create quality this kind surface of high the qualitypolishing surface process, the grainpolishing size ofprocess, the abrasive, grain size and of polishing the abrasive, time haveand polishing to be chosen time carefully. have to be Polishing chosen carefully.can be used Polishing to machine can be plane, used spherical, to machine aspherical plane, spherical, and freeform aspherical workpieces and freeform as well workpieces as structured as wellsurfaces as structured [158,159]. surfaces [158,159]. Similar to polishing, lapping uses an abrasive to smooth the surface. The abrasive is rubbed between two surfaces, which can be done by hand or using machines. Lapping is mainly used when high form accuracy is needed. In contrast to polishing, the removal rate is comparatively high.

Micromachines 2019, 10, 233 15 of 25

Similar to polishing, lapping uses an abrasive to smooth the surface. The abrasive is rubbed between two surfaces, which can be done by hand or using machines. Lapping is mainly used when high form accuracy is needed. In contrast to polishing, the removal rate is comparatively high. Therefore, the applied grain sizes of the abrasives are usually larger. However, the transition between lapping and polishing is blurry. Both technologies are based on the same material removal mechanism. Since polishing and lapping are mainly used as finishing treatments, previous machining steps have to be performed for the form shaping. Those machining steps are usually done with cutting technologies like (UPM-) turning, milling or variations of these technologies. An overview of all previously described technologies is shown in Table1. All technologies are listed with their achievable surface quality and structure size as well as their advantages and limitations.

Table 1. Overview of technologies to fabricate optical mold inserts and micro-structured molds.

Method Surface Roughness Micro-Structuring Advantages Limitations Ref Ultra-Precision Available diamond tools Machining --- limit size and shape of [46] (UPM) micro-structures Limited to symmetrical Diamond Very high accuracy and <5 nm 5 µm parts and non-ferrous [47] Turning surface quality materials Geometries are limited Slow Tool Fabrication of <10 nm 5 µm due to the slow stroke of [54] Servo (STS) asymmetrical parts the tool Fabrication of Geometry has to be Fast Tool Servo asymmetrical parts, fast <10 nm <1 µm within the scope of the [63] (FTS) and accurate positioning FTS stroke of the tool Long machining time Diamond Fabrication of free-form especially when good <10 nm 50 µm Exp. data Milling structures surface quality is required Fabrication of complex Fly Cutting <10 nm <1 µm microstructures like Limited to flat substrates Exp. data prisms and pyramids Ultrasonic vibration Machining of ferrous cutting is limited to a UPM of steel <10 nm 5 µm materials with high turning process, other [80] accuracy methods have problems with wear Only conductive Electric Large material removal workpieces, surface Discharge <0.1 µm <10 µm [91,96] rate roughness not sufficient Machining for optical applications Only conductive Not suitable as a No tool wear, high Electrochemical workpieces, electrodes 30 nm micro-structuring removal rate also in [98] Machining can be complex and technique hardened materials expensive Not suitable as a Machining of hardened Grinding <10 nm micro-structuring Long machining time [107] steel technique Micro-structures with Limited to flat substrates, Lithographie, high aspect ratio are expensive and complex Galvanik and <10 nm <1 µm possible, broad range of when multiple [113] Abformung micro-structures is lithography steps are (LIGA) possible necessary Quality is very much Fabrication and depending on the stamp replication of very small which has to be Nanoimprint - <10 nm micro- and fabricated by a [126] Lithography nano-structures, high micro-structuring throughput technology, limited to 2D substrates Micromachines 2019, 10, 233 16 of 25

Table 1. Cont.

Method Surface Roughness Micro-Structuring Advantages Limitations Ref Suitable for curved Laser Direct Limited to structuring of 25 nm 1–3 µm substrates, fabrication of Exp. data Writing a photoresist continuous structures Machining of all Limited to small areas E-Beam Writing 0.2 µm <100 nm materials, suitable for [139] due to long process time large area smoothing Machining of all Limited to small areas materials except for Ion Beam when used as a <1 nm <10 nm magnetic materials, [148] Lithography structuring method due fabrication of nano- and to long process time micro-structures Resulting surface quality Laser Processing of every 0.2 µm 10 µm not sufficient for optical [99] Machining material applications Not suitable as a Limited form accuracy Polishing/Lapping <1 nm micro-structuring Very high surface quality especially in free-form [156] technique parts

5. Summary and Discussion The available technologies for the fabrication of optical mold inserts enable the production of high-quality optical parts that can compete with glass optics and replace them in a multitude of applications. To obtain high-quality optical polymer components, deep process knowledge and control during the fabrication of the mold insert as well as during the replication process are necessary. Expanding the know-how in the areas of mold fabrication and polymer replication will open new possibilities for polymer optics and replace glass lenses in further applications. The challenge for an engineer is to determine the best suitable option for the mold fabrication, which requires a complete understanding of all technologies and fabrication methods and their limitations. This review on different available technologies provides an overview of the technologies as well as a structure to categorize the methods and their capabilities. In the following section, the advantages and disadvantages are summarized in order to support the selection process.

5.1. Form-Giving Technologies The most common technology to produce regular optical mold inserts for spheric and aspheric optical components is ultra-precision machining. It combines high accuracy with optical surface quality in one machining process without necessity of a post-treatment. However, material removal rate is very small, usually down to 1–2 µm for the finishing cut. Therefore, the geometry has to be pre-machined using a regular machining process like turning or milling. For complex geometries, slow- and fast-tool servo processes as well as diamond milling can be used. Being able to machine complex geometries like non-rotational symmetric parts and free forms is a major advantage of the UPM technology. The fabrication of optical mold inserts by means of ultra-precision machining is time- and cost-consuming since a coating process of the mold insert is necessary. However, improvements in the UPM technology now allow the machining of steel materials, overcoming the limitations of diamond tools. In particular, ultrasonic vibration cutting as well as alternative cutting materials like binderless cBN are powerful technologies to fabricate optical mold inserts in steel-based materials. UPM remains the most promising technology when accurate form-giving is required in an optical mold insert. When complex geometries are required, no other technology offers as much freedom in the design as UPM. EDM offers the possibility to produce very accurate forms at comparatively high removal rates. However, achievable surface quality is not sufficient for optical applications. Further technological improvements are necessary to enable form-giving fabrication of optical mold inserts without additional post-treatment. EDM is a powerful machining process when mold inserts with high aspect ratios need to be fabricated, however improvements in surface quality are mandatory. Micromachines 2019, 10, 233 17 of 25

ECM is a relatively new approach as a machining technology for optical mold inserts. The possibility to machine even hardened materials is a main advantage of the technology. Optical surface quality is reported, but a lot of process know-how is necessary to achieve this kind of surface quality. Still, compared to ultra-precision machining, the surface roughness is significantly higher. Grinding is a form-giving machining technology applied to create very accurate forms. However, the technology is limited concerning the achievable geometry and surface quality. The use of optimized grinding wheels like cBN-wheels as well as in-process dressing methods achieves surface qualities in the sub-micrometer range. Post treatments like polishing or lapping can be used to optimize surface quality when a regular grinding process is used or surface roughness has to be further improved.

5.2. Micro-Structuring Technologies To fabricate micro-structured mold inserts, a broad range of technologies is available. Finding the best method is even more challenging compared to form-giving technologies. Critical factors to consider are the size of the structured area, continuous or binary structures, aspect ratio and substrate material. UPM is not just a suitable method to shape a mold insert but can be also used to create micro-structures. In particular, the fly-cutting process can fabricate large structured areas in the centimeter range in a fast and cost-efficient way, but the achievable geometry is limited. To fabricate rotationally symmetrical structured mold inserts, diamond turning is a perfectly suited method. For all micro-structures created by UPM, the available diamond tools limit the structure geometry as well as the structure size. A big advantage of the UPM technology for the fabrication of micro-structures is the fact that structuring happens directly in the mold insert and no subsequent casting process like electroplating is necessary. This reduces fabrication costs and time as well as possible inaccuracies due to a multitude of process steps. Similar to UPM, the EDM process can also be used to create micro-structures. EDM is applied for micro structures with several micrometer or tens of micrometer in size and the aspect ratio can be high. The technology can be used to structure steel molds directly, which is a major advantage of the process compared to other micro-structuring methods. The LIGA process is a well-established technology to produce optical mold inserts with micro features. The fabrication of diffractive gratings has been done by LIGA for a very long time. The technology allows the structuring of areas in the centimeter range but is limited to flat substrates. Part of the LIGA process chain is a galvano-copying step, creating a hard mold insert made out of nickel. Geometries of the micro-structures range from diffractive gratings, micro lenses and micro prisms to waveguides. The application of the LIGA process is advisable when high aspect ratio and accuracy is required and the micro structures are very small (<1 µm). However, the process becomes very complex and expensive, when many hierarchic levels are needed. Then, the lithography process becomes challenging. NIL is a micro-structuring technology to produce very small structures at the highest possible accuracy. Part of the process is the fabrication of a mold insert. For the fabrication of the mold, micro-structuring technologies like lithography or e-beam writing are used. NIL can be used to produce micro-structured polymer parts, so it is not a typical technology for producing mold inserts. Nevertheless, electroplating can be used to create a mold insert by either casting the master mold or a structured photoresist. Similar to the LIGA process, high aspect ratios are possible. The technology is very well suited for applications where very small (<1 µm) and accurate micro-structures are needed. LDW is a technology that is very well suited for the fabrication of Fresnel and diffractive structures. A big advantage of the technology is the possibility of creating continuous micro-structures. Especially for diffractive optical elements the efficiency of the elements can be increased significantly. Another advantage of the technology is the possibility to create micro-structures on curved substrates. Since the structure is written into a photoresist, the fabrication of an optical mold insert needs a subsequent electroplating process. The achievable structure size is mainly limited by the spot size of the laser. The process is advisable when feature sizes are larger than 1 µm. Micromachines 2019, 10, 233 18 of 25

very complex and expensive, when many hierarchic levels are needed. Then, the lithography process becomes challenging. NIL is a micro-structuring technology to produce very small structures at the highest possible accuracy. Part of the process is the fabrication of a mold insert. For the fabrication of the mold, micro- structuring technologies like lithography or e-beam writing are used. NIL can be used to produce micro-structured polymer parts, so it is not a typical technology for producing mold inserts. Nevertheless, electroplating can be used to create a mold insert by either casting the master mold or a structured photoresist. Similar to the LIGA process, high aspect ratios are possible. The technology is very well suited for applications where very small (<1 µm) and accurate micro-structures are needed. LDW is a technology that is very well suited for the fabrication of Fresnel and diffractive structures. A big advantage of the technology is the possibility of creating continuous micro- structures. Especially for diffractive optical elements the efficiency of the elements can be increased significantly. Another advantage of the technology is the possibility to create micro-structures on curved substrates. Since the structure is written into a photoresist, the fabrication of an optical mold Micromachinesinsert needs2019 a subsequent, 10, 233 electroplating process. The achievable structure size is mainly limited18 of by 25 the spot size of the laser. The process is advisable when feature sizes are larger than 1 µm. E-beam writing is a micro-structuring technology that can be used when very small micro- structuresE-beam in writing the submicron is a micro-structuring range are required. technology A major that can limitation be used whenof the very process small is micro-structures the processing intime, the submicron limiting the range structured are required. area A to major the limitationmicro-meter/millimeter of the process is range. the processing In particular, time, limiting for the thefabrication structured of areasmall to Fresnel the micro-meter or diffractive/millimeter structures range. with In particular, structure forsizes the <1 fabrication µm, e-beam of small writing Fresnel can µ ormake diff ractiveuse of structuresits technological with structure advantages. sizes

Figure 15. Available technologies for form-giving machining, micro-structuringmicro-structuring andand post-treatment.post-treatment.

As presented in this review, a broad range of technologies is available. Improvements in replication techniques like hot embossing, injection molding, injection compression molding and roll-to-roll replication enable the fabrication of high-performance optical components. Further developments in this area will open new possibilities and applications for polymer optics. In particular, in combination with precise micro-assembly technologies, these optical components can be integrated into optical systems to increase performance and reduce weight. Increasing requirements of the optical components in accuracy and structure size also needs improvements in the available metrology. The combination of sub-micron resolution with large measurement areas as well as complex geometry remains a challenge for existing measurement systems [160]. Merging high-end mold-fabrication technologies, accurate replication methods and precise micro-assembly methods will enable new applications of polymer optics in optical systems as well as upcoming fields like quantum sensors and plasmon effects. Micromachines 2019, 10, 233 19 of 25

Author Contributions: M.R. reviewed the literature, collected the data and wrote the manuscript. T.G. and A.Z. critically revised the manuscript, supervised the project and provided the funding. Funding: This research was funded by the Federal Ministry of Economic Affairs (Project AiF-RP-No. 18556 N) and the Ministry of Finance and Economy of Baden-Württemberg (Project innBW IDAK). Conflicts of Interest: The authors declare no conflict of interest.

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