Aberration Control in Antique Telescope Objectives
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Chapter 3 (Aberrations)
Chapter 3 Aberrations 3.1 Introduction In Chap. 2 we discussed the image-forming characteristics of optical systems, but we limited our consideration to an infinitesimal thread- like region about the optical axis called the paraxial region. In this chapter we will consider, in general terms, the behavior of lenses with finite apertures and fields of view. It has been pointed out that well- corrected optical systems behave nearly according to the rules of paraxial imagery given in Chap. 2. This is another way of stating that a lens without aberrations forms an image of the size and in the loca- tion given by the equations for the paraxial or first-order region. We shall measure the aberrations by the amount by which rays miss the paraxial image point. It can be seen that aberrations may be determined by calculating the location of the paraxial image of an object point and then tracing a large number of rays (by the exact trigonometrical ray-tracing equa- tions of Chap. 10) to determine the amounts by which the rays depart from the paraxial image point. Stated this baldly, the mathematical determination of the aberrations of a lens which covered any reason- able field at a real aperture would seem a formidable task, involving an almost infinite amount of labor. However, by classifying the various types of image faults and by understanding the behavior of each type, the work of determining the aberrations of a lens system can be sim- plified greatly, since only a few rays need be traced to evaluate each aberration; thus the problem assumes more manageable proportions. -
502-13 Magnifiers and Telescopes
13-1 I and Instrumentation Design Optical OPTI-502 © Copyright 2019 John E. Greivenkamp E. John 2019 © Copyright Section 13 Magnifiers and Telescopes 13-2 I and Instrumentation Design Optical OPTI-502 Visual Magnification Greivenkamp E. John 2019 © Copyright All optical systems that are used with the eye are characterized by a visual magnification or a visual magnifying power. While the details of the definitions of this quantity differ from instrument to instrument and for different applications, the underlying principle remains the same: How much bigger does an object appear to be when viewed through the instrument? The size change is measured as the change in angular subtense of the image produced by the instrument compared to the angular subtense of the object. The angular subtense of the object is measured when the object is placed at the optimum viewing condition. 13-3 I and Instrumentation Design Optical OPTI-502 Magnifiers Greivenkamp E. John 2019 © Copyright As an object is brought closer to the eye, the size of the image on the retina increases and the object appears larger. The largest image magnification possible with the unaided eye occurs when the object is placed at the near point of the eye, by convention 250 mm or 10 in from the eye. A magnifier is a single lens that provides an enlarged erect virtual image of a nearby object for visual observation. The object must be placed inside the front focal point of the magnifier. f h uM h F z z s The magnifying power MP is defined as (stop at the eye): Angular size of the image (with lens) MP Angular size of the object at the near point uM MP d NP 250 mm uU 13-4 I and Instrumentation Design Optical OPTI-502 Magnifiers – Magnifying Power Greivenkamp E. -
Depth of Focus (DOF)
Erect Image Depth of Focus (DOF) unit: mm Also known as ‘depth of field’, this is the distance (measured in the An image in which the orientations of left, right, top, bottom and direction of the optical axis) between the two planes which define the moving directions are the same as those of a workpiece on the limits of acceptable image sharpness when the microscope is focused workstage. PG on an object. As the numerical aperture (NA) increases, the depth of 46 focus becomes shallower, as shown by the expression below: λ DOF = λ = 0.55µm is often used as the reference wavelength 2·(NA)2 Field number (FN), real field of view, and monitor display magnification unit: mm Example: For an M Plan Apo 100X lens (NA = 0.7) The depth of focus of this objective is The observation range of the sample surface is determined by the diameter of the eyepiece’s field stop. The value of this diameter in 0.55µm = 0.6µm 2 x 0.72 millimeters is called the field number (FN). In contrast, the real field of view is the range on the workpiece surface when actually magnified and observed with the objective lens. Bright-field Illumination and Dark-field Illumination The real field of view can be calculated with the following formula: In brightfield illumination a full cone of light is focused by the objective on the specimen surface. This is the normal mode of viewing with an (1) The range of the workpiece that can be observed with the optical microscope. With darkfield illumination, the inner area of the microscope (diameter) light cone is blocked so that the surface is only illuminated by light FN of eyepiece Real field of view = from an oblique angle. -
The Microscope Parts And
The Microscope Parts and Use Name:_______________________ Period:______ Historians credit the invention of the compound microscope to the Dutch spectacle maker, Zacharias Janssen, around the year 1590. The compound microscope uses lenses and light to enlarge the image and is also called an optical or light microscope (vs./ an electron microscope). The simplest optical microscope is the magnifying glass and is good to about ten times (10X) magnification. The compound microscope has two systems of lenses for greater magnification, 1) the ocular, or eyepiece lens that one looks into and 2) the objective lens, or the lens closest to the object. Before purchasing or using a microscope, it is important to know the functions of each part. Eyepiece Lens: the lens at the top that you look through. They are usually 10X or 15X power. Tube: Connects the eyepiece to the objective lenses Arm: Supports the tube and connects it to the base. It is used along with the base to carry the microscope Base: The bottom of the microscope, used for support Illuminator: A steady light source (110 volts) used in place of a mirror. Stage: The flat platform where you place your slides. Stage clips hold the slides in place. Revolving Nosepiece or Turret: This is the part that holds two or more objective lenses and can be rotated to easily change power. Objective Lenses: Usually you will find 3 or 4 objective lenses on a microscope. They almost always consist of 4X, 10X, 40X and 100X powers. When coupled with a 10X (most common) eyepiece lens, we get total magnifications of 40X (4X times 10X), 100X , 400X and 1000X. -
Spherical Aberration ¥ Field Angle Effects (Off-Axis Aberrations) Ð Field Curvature Ð Coma Ð Astigmatism Ð Distortion
Astronomy 80 B: Light Lecture 9: curved mirrors, lenses, aberrations 29 April 2003 Jerry Nelson Sensitive Countries LLNL field trip 2003 April 29 80B-Light 2 Topics for Today • Optical illusion • Reflections from curved mirrors – Convex mirrors – anamorphic systems – Concave mirrors • Refraction from curved surfaces – Entering and exiting curved surfaces – Converging lenses – Diverging lenses • Aberrations 2003 April 29 80B-Light 3 2003 April 29 80B-Light 4 2003 April 29 80B-Light 8 2003 April 29 80B-Light 9 Images from convex mirror 2003 April 29 80B-Light 10 2003 April 29 80B-Light 11 Reflection from sphere • Escher drawing of images from convex sphere 2003 April 29 80B-Light 12 • Anamorphic mirror and image 2003 April 29 80B-Light 13 • Anamorphic mirror (conical) 2003 April 29 80B-Light 14 • The artist Hans Holbein made anamorphic paintings 2003 April 29 80B-Light 15 Ray rules for concave mirrors 2003 April 29 80B-Light 16 Image from concave mirror 2003 April 29 80B-Light 17 Reflections get complex 2003 April 29 80B-Light 18 Mirror eyes in a plankton 2003 April 29 80B-Light 19 Constructing images with rays and mirrors • Paraxial rays are used – These rays may only yield approximate results – The focal point for a spherical mirror is half way to the center of the sphere. – Rule 1: All rays incident parallel to the axis are reflected so that they appear to be coming from the focal point F. – Rule 2: All rays that (when extended) pass through C (the center of the sphere) are reflected back on themselves. -
How Do the Lenses in a Microscope Work?
Student Name: _____________________________ Date: _________________ How do the lenses in a microscope work? Compound Light Microscope: A compound light microscope uses light to transmit an image to your eye. Compound deals with the microscope having more than one lens. Microscope is the combination of two words; "micro" meaning small and "scope" meaning view. Early microscopes, like Leeuwenhoek's, were called simple because they only had one lens. Simple scopes work like magnifying glasses that you have seen and/or used. These early microscopes had limitations to the amount of magnification no matter how they were constructed. The creation of the compound microscope by the Janssens helped to advance the field of microbiology light years ahead of where it had been only just a few years earlier. The Janssens added a second lens to magnify the image of the primary (or first) lens. Simple light microscopes of the past could magnify an object to 266X as in the case of Leeuwenhoek's microscope. Modern compound light microscopes, under optimal conditions, can magnify an object from 1000X to 2000X (times) the specimens original diameter. "The Compound Light Microscope." The Compound Light Microscope. Web. 16 Feb. 2017. http://www.cas.miamioh.edu/mbi-ws/microscopes/compoundscope.html Text is available under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license. - 1 – Student Name: _____________________________ Date: _________________ Now we will describe how a microscope works in somewhat more detail. The first lens of a microscope is the one closest to the object being examined and, for this reason, is called the objective. -
Objective (Optics) 1 Objective (Optics)
Objective (optics) 1 Objective (optics) In an optical instrument, the objective is the optical element that gathers light from the object being observed and focuses the light rays to produce a real image. Objectives can be single lenses or mirrors, or combinations of several optical elements. They are used in microscopes, telescopes, cameras, slide projectors, CD players and many other optical instruments. Objectives are also called object lenses, object glasses, or objective glasses. Microscope objectives are typically designed to be parfocal, which means that when one changes from one lens to another on a Several objective lenses on a microscope. microscope, the sample stays in focus. Microscope objectives are characterized by two parameters, namely, magnification and numerical aperture. The former typically ranges from 5× to 100× while the latter ranges from 0.14 to 0.7, corresponding to focal lengths of about 40 to 2 mm, respectively. For high magnification applications, an oil-immersion objective or water-immersion objective has to be used. The objective is specially designed and refractive index matching oil or water must fill the air gap between the front element and the object to allow the numerical aperture to exceed 1, and hence give greater resolution at high magnification. Numerical apertures as high as 1.6 can be achieved with oil immersion.[1] To find the total magnification of a microscope, one multiplies the A photographic objective, focal length 50 mm, magnification of the objective lenses by that of the eyepiece. aperture 1:1.4 See also • List of telescope parts and construction Diastar projection objective from a 35 mm movie projector, (focal length 400 mm) References [1] Kenneth, Spring; Keller, H. -
Visual Effect of the Combined Correction of Spherical and Longitudinal Chromatic Aberrations
Visual effect of the combined correction of spherical and longitudinal chromatic aberrations Pablo Artal 1,* , Silvestre Manzanera 1, Patricia Piers 2 and Henk Weeber 2 1Laboratorio de Optica, Centro de Investigación en Optica y Nanofísica (CiOyN), Universidad de Murcia, Campus de Espinardo, 30071 Murcia, Spain 2AMO Groningen, Groningen, The Netherlands *[email protected] Abstract: An instrument permitting visual testing in white light following the correction of spherical aberration (SA) and longitudinal chromatic aberration (LCA) was used to explore the visual effect of the combined correction of SA and LCA in future new intraocular lenses (IOLs). The LCA of the eye was corrected using a diffractive element and SA was controlled by an adaptive optics instrument. A visual channel in the system allows for the measurement of visual acuity (VA) and contrast sensitivity (CS) at 6 c/deg in three subjects, for the four different conditions resulting from the combination of the presence or absence of LCA and SA. In the cases where SA is present, the average SA value found in pseudophakic patients is induced. Improvements in VA were found when SA alone or combined with LCA were corrected. For CS, only the combined correction of SA and LCA provided a significant improvement over the uncorrected case. The visual improvement provided by the correction of SA was higher than that from correcting LCA, while the combined correction of LCA and SA provided the best visual performance. This suggests that an aspheric achromatic IOL may provide some visual benefit when compared to standard IOLs. ©2010 Optical Society of America OCIS codes: (330.0330) Vision, color, and visual optics; (330.4460) Ophthalmic optics and devices; (330.5510) Psycophysics; (220.1080) Active or adaptive optics. -
6. Imaging: Lenses & Curved Mirrors
6. Imaging: Lenses & Curved Mirrors The basic laws of lenses allow considerable versatility in optical instrument design. The focal length of a lens, f, is the distance at which collimated (parallel) rays converge to a single point after passing through the lens. This is illustrated in Fig. 6.1. A collimated laser beam can thus be brought to a focus at a known position simply by selecting a lens of the desired focal length. Likewise, placing a lens at a distance f can collimate light emanating from a single spot. This simple law is widely used in experimental spectroscopy. For example, this configuration allows collection of the greatest amount of light from a spot, an important consideration in maximizing sensitivity in fluorescence or Raman measurements. The collection Figure 6.1: Parallel beams focused by a lens efficiency of a lens is the ratio Ω/4π, where Ω is the solid angle of the light collected and 4π is the solid angle over all space. The collection efficiency is related to the F-number of the lens, also abbreviated as F/# or f/n. F/# is defined as the ratio of the distance of the object from the lens to the lens diameter (or limiting aperture diameter). In Fig. 6.1 above, the f- number of lens is f/D - ! 1 = 2 . 4" $#4(F / #)&% The collection efficiency increases with decreased focal length and increased lens diameter. Collection efficiency is typically low in optical spectroscopy, such as fluorescence or Raman. On the other hand, two-dimensional imaging (as opposed to light collection) is limited when the object is at a distance of f from the lens because light from only one point in space is collected in this configuration. -
Topic 3: Operation of Simple Lens
V N I E R U S E I T H Y Modern Optics T O H F G E R D I N B U Topic 3: Operation of Simple Lens Aim: Covers imaging of simple lens using Fresnel Diffraction, resolu- tion limits and basics of aberrations theory. Contents: 1. Phase and Pupil Functions of a lens 2. Image of Axial Point 3. Example of Round Lens 4. Diffraction limit of lens 5. Defocus 6. The Strehl Limit 7. Other Aberrations PTIC D O S G IE R L O P U P P A D E S C P I A S Properties of a Lens -1- Autumn Term R Y TM H ENT of P V N I E R U S E I T H Y Modern Optics T O H F G E R D I N B U Ray Model Simple Ray Optics gives f Image Object u v Imaging properties of 1 1 1 + = u v f The focal length is given by 1 1 1 = (n − 1) + f R1 R2 For Infinite object Phase Shift Ray Optics gives Delta Fn f Lens introduces a path length difference, or PHASE SHIFT. PTIC D O S G IE R L O P U P P A D E S C P I A S Properties of a Lens -2- Autumn Term R Y TM H ENT of P V N I E R U S E I T H Y Modern Optics T O H F G E R D I N B U Phase Function of a Lens δ1 δ2 h R2 R1 n P0 P ∆ 1 With NO lens, Phase Shift between , P0 ! P1 is 2p F = kD where k = l with lens in place, at distance h from optical, F = k0d1 + d2 +n(D − d1 − d2)1 Air Glass @ A which can be arranged to|giv{ze } | {z } F = knD − k(n − 1)(d1 + d2) where d1 and d2 depend on h, the ray height. -
What's the Size of What You See? Determine the Field Diameter of a Compound Microscope
4th NGSS STEM Conference MAKING SCIENCE COUNT Integrating Math into an NGSS Classroom January 20, 2017 | Pier 15, San Francisco, CA What's the Size of What You See? Determine the field diameter of a compound microscope. By measuring the field diameter of a microscope, you can calculate the real sizes of objects too small to see with the naked eye. Tools and Materials • Compound microscope • Pencil and notepaper to record results • Calculator • Clear plastic metric ruler with millimeter markings (copy this template onto a transparency to make your own) • Optional: microscopic objects to view and measure 4th NGSS STEM Conference MAKING SCIENCE COUNT Integrating Math into an NGSS Classroom January 20, 2017 | Pier 15, San Francisco, CA Assembly None needed. To Do and Notice Find the total magnification of your microscope. First, read the power inscribed on the eyepiece. You’ll find it marked as a number followed by an X, which stands for “times.” Record the eyepiece power. Find the three barrel-shaped objective lenses near the microscope stage. Each will have a different power, which should be marked on the side of the lens. Record the power for each objective. Find the total magnification for each objective lens by multiplying the power of the eyepiece by the power of the objective. Lowest Magnification: Eyepiece x Lowest power objective = ________X Medium Magnification: Eyepiece x Medium power objective = ________X Highest Magnification: Eyepiece x Highest power objective = ________X Set the microscope to its lowest magnification. Slide the plastic metric ruler onto the stage and focus the microscope on the millimeter divisions. -
An Instrument for Measuring Longitudinal Spherical Aberration of Lenses
U. S. Department of Commerce Research Paper RP20l5 National Bureau of Standards Volume 42, August 1949 Part of the Journal of Research of the National Bureau of Standards An Instrument for Measuring Longitudinal Spherical Aberration of Lenses By Francis E. Washer An instrument is described that permits the rapid determination of longitudinal spheri cal and longitudinal chromatic aberration of lenses. Specially constructed diaphragms isolate successive zones of a lens, and a movable reticle connected to a sensitive dial gage enables the operator to locate the successive focal planes for the different zones. Results of measurement are presented for several types of lenses. The instrument can also be used without modification to measure the mall refractive powers of goggle lenses. 1. Introduction The arrangement of these elements is shown diagrammatically in figui' e 1. To simplify the In the comse of a research project sponsored by description, the optical sy tem will be considered the Army Air Forces, an instrument was developed in three parts, each of which forms a definite to facilitate the inspection of len es used in the member of the whole system. The axis, A, is construction of reflector sights. This instrument common to the entire system; the axis is bent at enabled the inspection method to be based upon the mirror, lvI, to conserve space and simplify a rapid determination of the axial longitudinal operation by a single observer. spherical aberration of the lens. This measme Objective lens L j , mirror M, and viewing screen, ment was performed with the aid of a cries of S form the first part.