Will Avalanche Photodiode Arrays Ever Reach 1 Megapixel?

Total Page:16

File Type:pdf, Size:1020Kb

Will Avalanche Photodiode Arrays Ever Reach 1 Megapixel? Will Avalanche Photodiode Arrays Ever Reach 1 Megapixel? Edoardo Charbon Swiss Federal Institute of Technology, CH-1015 Lausanne, Switzerland Abstract— In this paper the miniaturization and performance one microsecond in CCD [4] and a few nanoseconds in potential of solid-state avalanche photodiodes is discussed in CMOS APS [5] have been demonstrated. While CCD streak the context of large multi-pixel sensors. Technological and cameras can achieve a resolution of a few picoseconds, they design trade-offs are discussed in view of recent advances in require a 2D pixel array to resolve a string of photon CMOS imaging technologies and the emergence of new arrivals. Moreover, long acquisition latency and the added multiplication based architectures. complexity to form and deflect the photoelectron beam I. INTRODUCTION make this device unsuitable for miniaturization and low- cost operation. In the last four decades, solid-state multiplication based Sensors based on solid-state APDs have been proposed photodetectors have gradually evolved from relatively decades ago to simultaneously achieve high sensitivity and crude devices to the sophistication of today. Almost every dynamic range, and low timing uncertainty [6]. In APDs, imaging technology has one such device and the range of carriers generated by the absorption of a photon in the p-n implementations is quite wide [1]. In this context, silicon junction, are multiplied by impact ionization thus producing avalanche photodiodes (APDs), thanks to their relative an avalanche. APDs can reach timing uncertainties as low simplicity and ease of fabrication, have recently attracted as a few tens of picoseconds, thanks to the speed at which significant interest. an avalanche evolves from the initial carrier pair forming in There are two main lines of research in silicon APDs: the multiplication region. one that advocates the use of highly optimized processes to An APD is implemented as photodiode reverse biased boost performance and one that proposes to adapt APD near or above breakdown, where it exhibits optical gains design to existing processes to reduce cost and to maximize greater than one. When an APD is biased below breakdown miniaturization. it is known as proportional or linear APD. It can be used to In this paper we focus on the latter approach and we detect clusters of photons and to determine their energy. discuss how the latest advances in imaging CMOS When biased above breakdown, the optical gain becomes processes may be used to maximize performance and to virtually infinite. Thus, with a relatively simple ancillary boost miniaturization. We also discuss how advanced electronics, the APD becomes capable of detecting single processes can ensure in-pixel and on-chip processing of photons. The APD operating in this regime, known as ultra-high-speed signals that are typical of single-photon Geiger mode of operation, is called single-photon detectors. avalanche diode (SPAD). II. SINGLE-PHOTON DETECTION AND SILICON APDS III. APD DESIGN IN STANDARD CMOS PROCESSES Devices for single-photon detection are realizable in many solid-state and non-solid-state implementations. A. Basic Structure Design While an in-depth discussion on the subject is beyond the There exist two main implementation styles for APDs. scope of this paper, we mention here two classes of The first, known as reach-through APD (RAPD) [7], is a detectors that are currently the solution of choice in many vertical structure, incompatible with planar CMOS applications: multichannel or microchannel plates (MCPs) processes. The second involves a shallow p or n layer to and photomultiplier tubes (PMTs) [2]. form high-voltage pn junctions. Cova and others have A number of solid-state solutions have been proposed as investigated devices designed in this style since the 1970s, a replacement of MCPs and PMTs using conventional yielding a number of structures equipped with a zone imaging processes. The challenge though has been to meet designed to prevent premature edge breakdown (PEB) [8]. single-photon sensitivity and low timing uncertainty. An early example of one such structure is shown in Fig. 1. To address the sensitivity problem, cooled and/or intensified CCDs, and ultra-low-noise CMOS APS n+ architectures have been proposed. Multiplication of p+ photogenerated charges by impact ionization has also been p-epi used in conventional CCDs [3]. Meeting PMT’s picosecond timing uncertainty however, n-substrate to the best of our knowledge, has not been possible in FIG. 1. CROSS-SECTION OF APDS THAT CAN BE FABRICATED IN A PLANAR CCD/CMOS imagers, even though uncertainties as low as PROCESS. 246 More recently, researchers have developed APDs both of charges to be easily detected and thus requiring no in linear and Geiger mode using dedicated processes, further amplification. achieving superior performance in terms of sensitivity and SPADs however require mechanisms to quench the noise. A good example is the work of Kindt [9]. The main avalanche. There exist two main quenching mechanisms: disadvantage of using dedicated processes is the lack of passive and active. In passive quenching the avalanche libraries that can support complex functionalities and deep- current is used to drop the voltage across the diode. This is submicron feature sizes, thus limiting array sizes. An generally accomplished via a ballast resistor placed on the interesting alternative is the use of a hybrid approach anode or the cathode of the diode, as shown in Fig. 3. whereby the APD array and ancillary electronics are Avalanche detection is accomplished measuring the voltage implemented in two different processes, each optimized for across the ballast resistance (Fig. 3a, b) or the current APD performance and speed, respectively [10]. across a low- or zero-resistivity path (Fig. 3c, d). Pulse In 2003 the integration of linear and Geiger mode APDs shaping may be performed using a comparator (Fig. 3e). in a low-cost CMOS process has become feasible [11]. Excess bias voltage equals |VOP| - |Vbd|, where Vbd is the PEB prevention is accomplished forcing the electric field breakdown. The resistances may be implemented in everywhere to be lower than that on the planar polysilicon [11],[12] or exploiting the non-linear multiplication region, where it should be uniform. characteristics of PMOS or NMOS devices [13],[14]. V V V V p p+ OP OP OP OP n+ p- I R x X V Vx X x n n Vth IxR a) b) e) a) b) c) d) p p FIG. 3. PASSIVE QUENCHING VARIANTS. VOLTAGE DETECTION MODE (LEFT); CURRENT DETECTION MODE (RIGHT). In active quenching mode, the avalanche activates an n active device to stop it. The literature on the subject is c) extensive. In [15] some of the existing schemes can be found. Other authors have recently revisited the issue [16]. After quenching, the device enters another phase known as recharge. During this phase the photodiode bias voltage FIG. 2. TECHNIQUES FOR PREVENTION OF PREMATURE EDGE BREAKDOWN must return to the pre-avalanche state as quickly as (PEB) IN PLANAR PROCESSES. possible. Again, there are passive and active schemes to Fig. 2 shows some of the most used structures. In a) the achieve recharge. The simplest approach is shown in Fig. 3. n+ layer maximizes the electric field in the middle of the The diode will automatically recharge to VOP via the ballast diode. In b) a lightly doped p- implant reduces the electric resistance. The recharge, in this case, follows the RC field at the edge of the p+ implant. In c) a floating p exponential, where R is the equivalent quenching resistance implant locally increases the breakdown voltage. With a and C the total parasitic capacitance at node X. polysilicon gate one can further extend the depletion region In active recharge schemes, the photodiode is forced to (gray line in the figure). The figure also shows a 3D cross- the initial state generally via a fast switch controlled by a section of b) including a p-substrate and an n-well isolation. current sense amplifier. Even though these schemes are Modern imaging processes (with or without STI) attractive, they usually require extra complexity to a pixel, provide several lightly doped implants at three or more thus potentially hindering miniaturization. depths. Thus, an optimal layer combination (p+/p-/n-well) The quenching and recharge times are collectively generally exists that can yield a good trade-off between known as dead time. Dead time in passive timing uncertainty and noise. However, care should be used quenching/recharge methods is potentially longer than in so as to avoid full depletion of the well and punch- their active counterparts. However, the advantage of a through’s between shallow tubs and substrate. Buried reduced dead time in large array may be preempted by layers should also be used with care to prevent punch- limited speeds of pixel readout schemes. through across the n-well. C. The Importance of Miniaturization B. Quenching and Recharge Mechanisms The first SPAD implementations in 0.35µm CMOS Linear APDs are multi-photon detectors, when used as technology have demonstrated fully scalable pixels at a charge accumulators. Charges generated at each avalanche pitch of 25µm. However, for a realistic Mpixel sensor are integrated and amplification may not be needed. In realization, this limit should be further reduced. single-photon detection mode, fast amplifiers are generally Pixel miniaturization has other benefits too. The used, adding to jitter and dark noise. SPADs on the reduction of anode and cathode areas, in SPADs generally contrary can only operate in single-photon mode. This is reduces the dark count rate (DCR), i.e. the average achieved operating the diode above breakdown by a voltage frequency of spurious pulses in the dark [11]. It also known as excess bias voltage. Upon photon absorption, an reduces parasitic capacitance at node X (Fig.
Recommended publications
  • Al0.48 In0.52 As Superlattice Avalanche Photodiodes On
    www.nature.com/scientificreports OPEN Engineering of impact ionization characteristics in ­In0.53Ga0.47As/ Al0.48In0.52As superlattice avalanche photodiodes on InP substrate S. Lee1, M. Winslow2, C. H. Grein2, S. H. Kodati1, A. H. Jones3, D. R. Fink1, P Das4, M. M. Hayat4, T. J. Ronningen1, J. C. Campbell3 & S. Krishna1* We report on engineering impact ionization characteristics of ­In0.53Ga0.47As/Al0.48In0.52As superlattice avalanche photodiodes (InGaAs/AlInAs SL APDs) on InP substrate to design and demonstrate an APD with low k-value. We design InGaAs/AlInAs SL APDs with three diferent SL periods (4 ML, 6 ML, and 8 ML) to achieve the same composition as ­Al0.4Ga0.07In0.53As quaternary random alloy (RA). The simulated results of an RA and the three SLs predict that the SLs have lower k-values than the RA because the electrons can readily reach their threshold energy for impact ionization while the holes experience the multiple valence minibands scattering. The shorter period of SL shows the lower k-value. To support the theoretical prediction, the designed 6 ML and 8 ML SLs are experimentally demonstrated. The 8 ML SL shows k-value of 0.22, which is lower than the k-value of the RA. The 6 ML SL exhibits even lower k-value than the 8 ML SL, indicating that the shorter period of the SL, the lower k-value as predicted. This work is a theoretical modeling and experimental demonstration of engineering avalanche characteristics in InGaAs/AlInAs SLs and would assist one to design the SLs with improved performance for various SWIR APD application.
    [Show full text]
  • Leds As Single-Photon Avalanche Photodiodes by Jonathan Newport, American University
    LEDs as Single-Photon Avalanche Photodiodes by Jonathan Newport, American University Lab Objectives: Use a photon detector to illustrate properties of random counting experiments. Use limiting probability distributions to perform statistical analysis on a physical system. Plot histograms. Condition a detector’s signal for further electronic processing. Use a breadboard, power supply and oscilloscope to construct a circuit and make measurements. Learn about semiconductor device physics. Reading: Taylor 3.2 – The Square-Root Rule for a Counting Experiment pp. 48-49 Taylor 5.1-5.3 – Histograms and the Normal Distribution pp. 121-135 Taylor Ch. 11 – The Poisson Distribution pp. 245-254 Taylor Problem 5.6 – The Exponential Distribution p. 155 Experiment #1: Lighting an LED A Light-Emitting Diode is a non-linear circuit element that can produce a controlled amount of light. The AND113R datasheet shows that the luminous intensity is proportional to the current flowing through the LED. As illustrated in the IV curve shown below, the current flowing through the diode is in turn proportional to the voltage across the diode. Diodes behave like a one-way valve for current. When the voltage on the Anode is more positive than the voltage on the Cathode, then the diode is said to be in Forward Bias. As the voltage across the diode increases, the current through the diode increases dramatically. The heat generated by this current can easily destroy the device. It is therefore wise to install a current-limiting resistor in series with the diode to prevent thermal runaway. When the voltage on the Cathode is more positive than the voltage on the Anode, the diode is said to be in Reverse Bias.
    [Show full text]
  • Thermionic and Gaseous State Diodes
    THERMIONIC AND GASEOUS STATE DIODES Thermionic and gaseous state (vacuum tube) diodes Thermionic diodes are thermionic-valve devices (also known as vacuum tubes, tubes, or valves), which are arrangements of electrodes surrounded by a vacuum within a glass envelope. Early examples were fairly similar in appearance to incandescent light bulbs. In thermionic valve diodes, a current through the heater filament indirectly heats the cathode, another internal electrode treated with a mixture of barium and strontium oxides, which are oxides of alkaline earth metals; these substances are chosen because they have a small work function. (Some valves use direct heating, in which a tungsten filament acts as both heater and cathode.) The heat causes thermionic emission of electrons into the vacuum. In forward operation, a surrounding metal electrode called the anode is positively charged so that it electrostatically attracts the emitted electrons. However, electrons are not easily released from the unheated anode surface when the voltage polarity is reversed. Hence, any reverse flow is negligible. For much of the 20th century, thermionic valve diodes were used in analog signal applications, and as rectifiers in many power supplies. Today, valve diodes are only used in niche applications such as rectifiers in electric guitar and high-end audio amplifiers as well as specialized high-voltage equipment. Semiconductor diodes A modern semiconductor diode is made of a crystal of semiconductor like silicon that has impurities added to it to create a region on one side that contains negative charge carriers (electrons), called n-type semiconductor, and a region on the other side that contains positive charge carriers (holes), called p-type semiconductor.
    [Show full text]
  • CHAPTER 11 HPD (Hybrid Photo-Detector)
    CHAPTER 11 HPD (Hybrid Photo-Detector) HPD (Hybrid Photo-Detector) is a completely new photomultiplier tube that incorporates a semiconductor element in an evacuated elec- tron tube. In HPD operation, photoelectrons emitted from the photo- cathode are accelerated to directly strike the semiconductor where their numbers are increased. Features offered by the HPD are extremely little fluctuation during the multiplication, high electron resolution, and excellent stability. © 2007 HAMAMATSU PHOTONICS K. K. 210 CHAPTER 11 HPD (Hybrid Photo-Detector) 11.1 Operating Principle of HPDs As shown in Figure 11-1, an HPD consists of a photocathode for converting light into photoelectrons and a semiconductor element (avalanche diode or AD) which is the target for "electron bombardment" by photo- electrons. The HPD operates on the following principle: when light enters the photocathode, photoelectrons are emitted according to the amount of light; these photoelectrons are accelerated by a high-intensity electric field of a few kilovolts to several dozen kilovolts applied to the photocathode; they are then bombarded onto the target semiconductor where electron-hole pairs are generated according to the incident energy of the photoelectrons. This is called "electron bombardment gain". A typical relation between this electron bom- bardment gain and the photocathode supply voltage is plotted in Figure 11-2. In principle, this electron bom- bardment gain is proportional to the photocathode supply voltage. However, there is actually a loss of energy in the electron bombardment due to the insensitive surface layer of the semiconductor, so their proportional relation does not hold at a low voltage. In Figure 11-2, the voltage at a point on the voltage axis (horizontal axis) where the dotted line intersects is called the threshold voltage [Vth].
    [Show full text]
  • Avalanche Diode Detector Unit
    A large area avalanche photodiode detector system with USB interface 1. Introduction When measuring low light levels, a vacuum tube photomultiplier tube or some form of solid-state detector which relies on multiplication (e.g. Avalanche diode, Geiger avalanche diode, silicon photomultiplier) is normally used. Vacuum tube photomultipliers have the advantage that a large photosensitive area is available, in contrast to most solid-state devices, which, in general, allow detection over a small area. Avalanche photodiodes make excellent detectors, and here we describe a detector assembly developed around a large area device, 10 mm diameter. This detector unit is designed to detect low light levels and is based around a detector module, commercially available from AP Technology, (www.advancedphotonix.com) part# 197-70-74-661. The detector module is supplied as just that, a small box with flying leads, requiring appropriate low voltage dc power supplies. It does include a thermoelectric cooler and the avalanche diode’s high voltage bias supply. Here we describe how this module was integrated in a photo-detection subsystem, powered from the mains and controlled either from an internal potentiometer or through a computer interface. The completed unit can operate as a stand-alone, manually adjusted unit and powered from a +5V / 2.5A power supply, providing an analogue output in the range 0 to +1V into a 50 Ω (or greater) load over a typical 10 MHz bandwidth. It can also operate as a USB-controlled device, where the detector gain can be remotely set and where output readings and operating conditions can be monitored.
    [Show full text]
  • Avalanche Photodiodes Arrays
    Rochester Institute of Technology RIT Scholar Works Theses 2004 Avalanche photodiodes arrays Daniel Ma Follow this and additional works at: https://scholarworks.rit.edu/theses Recommended Citation Ma, Daniel, "Avalanche photodiodes arrays" (2004). Thesis. Rochester Institute of Technology. Accessed from This Thesis is brought to you for free and open access by RIT Scholar Works. It has been accepted for inclusion in Theses by an authorized administrator of RIT Scholar Works. For more information, please contact [email protected]. Avalanche Photodiodes Arrays By Daniel Ma B.S. College of Engineering, Rochester Institute of Technology (1998) A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science in the Chester F. Carlson Center for Imaging Science of the College of Science Rochester Institute of Technology August 2004 Signature of the Author __D_a_n_i e_1 _M_a_______ _ Accepted by Harvey E. Rhody .y/h~~s- ) Coordinator, M.S. Degree Program Date CHESTERF.CARLSON CENTER FOR IMAGING SCIENCE COLLEGE OF SCIENCE ROCHESTER INSTITUTE OF TECHNOLOGY ROCHESTER, NEW YORK CERTIFICATE OF APPROVAL M.S. DEGREE THESIS The M.S. Degree Thesis of Daniel Ma has been examined and approved by the thesis committee as satisfactory for the thesis requirement for the Master of Science degree Zoran Ninkov Dr. Zoran Ninkov, Thesis Advisor Lynn Fuller Dr. Lynn Fuller Jonathan S. Arney Dr. Jon Arney Date ii THESIS RELEASE PERMISSION ROCHESTER INSTITUTE OF TECHNOLOGY COLLEGE OF SCIENCE CHESTER F. CARLSON CENTER FOR IMAGING SCIENCE Title of Thesis: Avalanche Photodiode Arrays I, Daniel Ma, hereby grant permission to the Wallace Memorial Library of R.I.T.
    [Show full text]
  • Products Catalog Index
    Products Catalog Index PART NO. MANUFACTURER DESCRIPTION URL PRICE DFLR1400-7 DIODES DFLR1400 Series 1 A http://www.searchdatasheet.com/DFLR1400-7-datasheet.html QUOTE INCORPORATED 400 V Surface Mount Glass Passivated Rectifier-POWERDI-123 GRM155R61C474KE01D MURATA 0402 0.47 uF 16 V ±10% http://www.searchdatasheet.com/GRM155R61C474KE01D-datasheet.html QUOTE Tolerance X5R SMT Multilayer Ceramic Capacitor GRM155R60J102KA01D MURATA 0402 1 nF 6.3 V ±10% http://www.searchdatasheet.com/GRM155R60J102KA01D-datasheet.html QUOTE Tolerance X5R SMT Multilayer Ceramic Capacitor GRM155R61C222KA01D MURATA 0402 2.2 nF 16 V ±10% http://www.searchdatasheet.com/GRM155R61C222KA01D-datasheet.html QUOTE Tolerance X5R SMT Multilayer Ceramic Capacitor GRM155R71C102KA01D MURATA 0402 1 nF 16 V ±10% http://www.searchdatasheet.com/GRM155R71C102KA01D-datasheet.html QUOTE Tolerance X7R SMT Multilayer Ceramic Capacitor GRM1885C1H1R5CA01D MURATA 0603 1.5 pF 50 V ±0.25 http://www.searchdatasheet.com/GRM1885C1H1R5CA01D-datasheet.html QUOTE pF Tolerance C0G SMT Multilayer Ceramic Capacitor GRM155R60J334KE01D MURATA 0402 0.33 uF 6.3 V http://www.searchdatasheet.com/GRM155R60J334KE01D-datasheet.html QUOTE ±10% Tolerance X5R SMT Multilayer Ceramic Capacitor GRM155R71H222JA01D MURATA 0402 2.2 nF 50 V ±5% http://www.searchdatasheet.com/GRM155R71H222JA01D-datasheet.html QUOTE Tolerance X7R SMT Multilayer Ceramic Capacitor GRM155R61A103KA01D MURATA 0402 10 nF 10 V ±10% http://www.searchdatasheet.com/GRM155R61A103KA01D-datasheet.html QUOTE Tolerance X5R SMT Multilayer Ceramic
    [Show full text]
  • Avalanche Photodiode a User Guide Understanding Avalanche Photodiode for Improving System Performance
    High performance sensors APPLICATION NOTE Avalanche photodiode A User Guide Understanding Avalanche photodiode for improving system performance Introduction Contents Avalanche photodiode detectors (APD) APD structures have and will continue to be used in APD noise many diverse applications such as laser Photon counting technique range finders, data communications or photon correlation studies. This paper discusses APD structures, critical Applications performance parameter and excess noise Light detection factor. Laser range finder For low-light detection in the 200- to Photon counting 1150-nm range, the designer has three Datacomm basic detector choices - the silicon PIN Optical Tomography detector, the silicon avalanche LIDAR photodiode (APD) and the photomultiplier Fluorescence detection tube (PMT). Particle sizing APDs are widely used in instrumentation and aerospace applications, offering a combination of high speed and high sensitivity unmatched by PIN detectors, and quantum efficiencies at >400 nm unmatched by PMTs. www.optoelectronics.perkinelmer.com APPLICATION NOTE Table of Contents What is an Avalange photodiode 3 Selecting an APD 5 Excess Noise Factor 6 Geiger Mode 7 Applications 8 www.optoelectronics.perkinelmer.com Avalanche photodiode 2 APPLICATION NOTE What is an Avalanche Photodiode? APD Structures In order to understand why more than one APD structure exists, it is important to appreciate the design trade-offs that must be accommodated by the APD designer. The ideal APD would have zero dark noise, no excess noise, broad spectral and frequency response, a gain range from 1 to 106 or more, and low cost. More simply, an ideal APD would be a good PIN photodiode with gain! In reality however, this is difficult to achieve because of the need to trade-off conflicting design requirements.
    [Show full text]
  • 1. with Schematic Representation Explain the Working Principle of Pin Photo Diode
    Optical Communications 1. With schematic representation explain the working principle of pin photo diode. Ans: PIN Photodiode PIN diode consists of an intrinsic semiconductor sandwiched between two heavily doped p-type and n-type semiconductors as shown in Fig. 6.1.1. Sufficient reverse voltage is applied so as to keep intrinsic region free from carriers, so its resistance is high, most of diode voltage appears across it, and the electrical forces are strong within it. The incident photons give up their energy and excite an electron from valance to conduction band. Thus a free electron hole pair is generated, these are called as photo carriers. These carriers are collected across the reverse biased junction resulting in rise in current in external circuit called photocurrent. In the absence of light, PIN photodiodes behave electrically just like an ordinary rectifier diode. If forward biased, they conduct large amount of current. PIN detectors can be operated in two modes, Photovoltaic and photoconductive. In photovoltaic mode, no bias is applied to the detector. In this case the detector works very slow, and output is approximately logarithmic to the input light level. Real world fiber optic receivers never use the photovoltaic mode. In photoconductive mode, the detector is reverse biased. The output in this case is a current that is very linear with the input light power. The intrinsic region somewhat improves the sensitivity of the device. It does not provide internal gain. The combination of different semiconductors operating at different wavelengths allows the selection of material capable of responding to the desired operating wavelength.
    [Show full text]
  • Circuits for High-Efficiency Avalanche-Diode Oscillators
    1060 IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. MTT-17, NO. 12, DECEMBER 1969 Circuits for High-Efficiency Avalanche- Diode Oscillators W. J. EVANS Absfract—This paper describes and analyzes the circuits which have II. THE TRAPATT MODE been used successfully for TRAPATT oscillator studies. The results lead In order to understand the operation of high-efficiency to a better understanding of the TRAPATT oscillator and yield a simple model of the oscillator which is useful for circuit design. oscillators, it is necessary to understand what happens when The circuit characteristics of ms experimental TRAPATT oscillator large RF voltage swings exist across an IMPATT diode. are determined from measurements on the circuits and from equivalent Therefore, this section will begin with a review of the large- circuit model calculations. The following conclusions can be drawn from signal behavior of an IMPATT oscillator. the analysis. First, the avalanche diode requires sufficient capacitance near Fig. l(a) is a plot of the field profile and carrier densities the diode to sustain the high-current state required for TRAPATT oper- in an oscillating IMPATT diode at a particular point in ation. Seeondly, at a distance from the diode corresponding to approx. time. The profile shown here is for a 6-GHz n+-p-p+ epi- inmtely one half-wavelength at the TRAPATT frequency the transmission taxial germanium diode [4]. The plots are made for the par- ~me containing the diode should be terminated by a low-pass filter. The ticular point in the RF voltage and current waveforms indi- function of the filter is to pass the TRAPATT frequency and to provide a cated by the squares in Fig.
    [Show full text]
  • Noise in Avalanche Transit-Time Devices
    1674 PROCEEDINGS OF THE IEEE, VOL. 59, NO. 12, DECEMBER 1971 for receiving arrays,” ZEEE Trans. Antennas Propagat. (Commun.), [22] C. J. Drane, Jr., and J. F. McIlvenna, “Gain maximization and VO~.AP-14, NOV.1966, pp. 792-794. controlled null placement simultaneously achievedin aerial array [9] A. I. Uzkov, ‘‘An approach to the problem of optimum directive patterns,” Air Force Cambridge Res. Labs., Bedford,Mass., antenna design,” C. R. Acad. Sci. USSR., vol. 35, 1946, p. 35. Rep. AFCRL-69-0257, June 1969. [lo] A. Bloch, R. G. Medhurst, and S. D. Pool, “A new approach to [23] R. F. Hamngton, “Matrixmethods for field problems,” Proc. the design of superdirective aerial arrays,” Proc. Znst. Elec. Eng., ZEEE, vol. 55, Feb. 1967, pp. 136-149. VO~.100, Sept. 1953, pp. 303-314. [24] J. A. Cummins,“Analysis of a circulararray of antennas by [ll] M.Uzsoky and L. Solymar,“Theory of superdirectivelinear matrix methods,” Ph.D. dissertation, Elec. Eng. Dept., Syracuse arrays,” Acta Phys. (Budapt), vol. 6, 1956, pp. 185-204. University, Syracuse,N. Y., Dec. 1968. [12] C. T. Tai, “The optimum directivity of uniformly spaced broad- [25] B. J. Strait and K. Hirasawa, “On radiation and scattering from sidearrays ofdipoles,” ZEEE Trans. Antennas Propgat., vol. arrays of wire antennas,” Proc. Nut. Elec. Con$, vol. 25, 1969. AP-12, July 1964, pp. 447-454. [26] A.T. Adams and B. J. Strait, “Modernanalysis methods for [13] D. K. Cheng and F. I. Tseng, “Gain optimization for arbitrary EMC,” ZEEEIEMC Symp. Rec., July 1970, pp. 383-393. antenna arrays,’’ ZEEE Trans.
    [Show full text]
  • FAGOR Avalanche Rectifiers
    Application Note Fagor Electrónica Semiconductores Avalanche Rectifiers Avalanche Rectifiers are diodes that can tolerate voltages above the repetitive reverse maximum blocking voltage (Vrrm) and, furthermore, dissipate a specified maximum energy during these pulses. Here we describe how these diodes differ from normal rectifiers and the applications to which they are suited. Introduction Rectifiers are two-terminal devices that are used to conduct current in one direction but block in the other according to a characteristic of the type shown in Figure 1. Standard rectifiers operate stably in either the Reverse Blocking Mode or in the Forward Conducting Mode. In the first case, only a very small leakage current flows so that power dissipation in the device is not important. In the second case, the forward voltage is more than a volt so considerable power may be dissipated in the device, but provided the heat is extracted efficiently the junction temperature will not exceed the maximum rated value and the device will be stable. I Figure 1 Modes of Operation within the I-V characteristic of Rectifiers. V Forward Concucting Avalanche Reverse Blocking Mode Mode Mode Further limitations apply when the rectifier is switched from conducting a large forward current to blocking a large reverse voltage. During a time after switching, the current that flows in the reverse direction greatly exceeds the reverse leakage value. Even if the delay in establishing the blocking condition is not important in the application, the additional power dissipated may cause the device to overheat and eventually fail. The recovery time depends strongly on the forward current before switching but standard conditions have been established to measure the Trr parameter (Typically: I F=0.5A switched to I R=1A at t=0 and recuperation defined has having occurred when I R=0.25A).
    [Show full text]