Telescopes – I
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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. -
Telescopes and Binoculars
Continuing Education Course Approved by the American Board of Opticianry Telescopes and Binoculars National Academy of Opticianry 8401 Corporate Drive #605 Landover, MD 20785 800-229-4828 phone 301-577-3880 fax www.nao.org Copyright© 2015 by the National Academy of Opticianry. All rights reserved. No part of this text may be reproduced without permission in writing from the publisher. 2 National Academy of Opticianry PREFACE: This continuing education course was prepared under the auspices of the National Academy of Opticianry and is designed to be convenient, cost effective and practical for the Optician. The skills and knowledge required to practice the profession of Opticianry will continue to change in the future as advances in technology are applied to the eye care specialty. Higher rates of obsolescence will result in an increased tempo of change as well as knowledge to meet these changes. The National Academy of Opticianry recognizes the need to provide a Continuing Education Program for all Opticians. This course has been developed as a part of the overall program to enable Opticians to develop and improve their technical knowledge and skills in their chosen profession. The National Academy of Opticianry INSTRUCTIONS: Read and study the material. After you feel that you understand the material thoroughly take the test following the instructions given at the beginning of the test. Upon completion of the test, mail the answer sheet to the National Academy of Opticianry, 8401 Corporate Drive, Suite 605, Landover, Maryland 20785 or fax it to 301-577-3880. Be sure you complete the evaluation form on the answer sheet. -
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. -
Large Telescopes and Why We Need Them Transcript
Large telescopes and why we need them Transcript Date: Wednesday, 9 May 2012 - 1:00PM Location: Museum of London 9 May 2012 Large Telescopes And Why we Need Them Professor Carolin Crawford Astronomy is a comparatively passive science, in that we can’t engage in laboratory experiments to investigate how the Universe works. To study any cosmic object outside of our Solar System, we can only work with the light it emits that happens to fall on Earth. How much we can interpret and understand about the Universe around us depends on how well we can collect and analyse that light. This talk is about the first part of that problem: how we improve the collection of light. The key problem for astronomers is that all stars, nebulae and galaxies are so very far away that they appear both very small, and very faint - some so much so that they can’t be seen without the help of a telescope. Its role is simply to collect more light than the unaided eye can, making astronomical sources appear both bigger and brighter, or even just to make most of them visible in the first place. A new generation of electronic detectors have made observations with the eye redundant. We now have cameras to record the images directly, or once it has been split into its constituent wavelengths by spectrographs. Even though there are a whole host of ingenious and complex instruments that enable us to record and analyse the light, they are still only able to work with the light they receive in the first place. -
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. -
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. -
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. -
The Wide Field Cassegrain: Exploring Solution Space Peter Ceravolo Ceravolo Optical Systems [email protected]
The Wide Field Cassegrain: Exploring Solution Space Peter Ceravolo Ceravolo Optical Systems www.ceravolo.com [email protected] Abstract This article illustrates the use of an internal aperture stop in a high speed, wide field Cassegrain optical system. The astrograph features a well corrected and uniformly illuminated focal plane. Opto-mechanical design and manufacturing issues are also discussed. 1. Introduction Of all the conventional astronomical telescope Aperture Stop designs used in amateur astronomy the Cassegrain is the least likely to be considered a candidate for wide field imaging applications. This perception is a hangover from the era of visual observing where minimizing the central obscuration was critical to preserving image fidelity. The resulting long focal length, slow telescopes did not lend themselves to photography. The central obscuration in reflector astrographs need not be so constrained since ground based amateur instruments never achieve diffraction limited performance, primarily due to poor seeing, image sampling limitations and tracking errors. Cassegrain astrographs with a large obscuration (50% of the aperture diameter or greater) and a fast primary will permit a relatively short overall focal length, a wider field of view and more uniform focal plane illumination. While the larger obscuration does reduce system through put, the light loss can be compensated for with longer exposures. Figure 1, internal stop Cassegrain astrograph In addition to the benefits of a larger obscuration, allowing the aperture stop position to move from the primary mirror to a more central location in the Cassegrain optical system offers the potential to achieve very wide fields of view in a fast system 2. -
Comets in UV
Comets in UV B. Shustov1 • M.Sachkov1 • Ana I. G´omez de Castro 2 • Juan C. Vallejo2 • E.Kanev1 • V.Dorofeeva3,1 Abstract Comets are important “eyewitnesses” of So- etary systems too. Comets are very interesting objects lar System formation and evolution. Important tests to in themselves. A wide variety of physical and chemical determine the chemical composition and to study the processes taking place in cometary coma make of them physical processes in cometary nuclei and coma need excellent space laboratories that help us understand- data in the UV range of the electromagnetic spectrum. ing many phenomena not only in space but also on the Comprehensive and complete studies require for ad- Earth. ditional ground-based observations and in-situ exper- We can learn about the origin and early stages of the iments. We briefly review observations of comets in evolution of the Solar System analogues, by watching the ultraviolet (UV) and discuss the prospects of UV circumstellar protoplanetary disks and planets around observations of comets and exocomets with space-born other stars. As to the Solar System itself comets are instruments. A special refer is made to the World Space considered to be the major “witnesses” of its forma- Observatory-Ultraviolet (WSO-UV) project. tion and early evolution. The chemical composition of cometary cores is believed to basically represent the Keywords comets: general, ultraviolet: general, ul- composition of the protoplanetary cloud from which traviolet: planetary systems the Solar System was formed approximately 4.5 billion years ago, i.e. over all this time the chemical composi- 1 Introduction tion of cores of comets (at least of the long period ones) has not undergone any significant changes. -
RASC Choosing and Using a Telescope for Astronomy
of binoculars accompanied by a good rainbow, obscuring fine detail. The objective astronomy guide like the Royal Astronomical lens in achromat refractors is commonly made Society of Canada’s Observer’s Handbook or of two or more lenses of different glass types to Beginner’s Observing Guide is all you need to begin help correct this problem, Choosing understanding the night sky. known as chromatic aberration. This most and Using a TELESCOPE READINESS TEST commonly manifests itself as faint fringes of colour “Space is mostly empty and you can find a around objects like the whole lot of nothing with a telescope” --- Moon or Jupiter, but it is Richard Weis, former President of rarely fully cured except in RASC-Calgary Centre. Telescope very expensive If you can do the following, then you are ready apochromat refractors. for Astronomy to make full and rewarding use of a telescope: Advantages: Refractors, by default, have a Find and name four circumpolar totally clear aperture. No central obstruction constellations causes light to be scattered from brighter to For many people, the words ‘astronomy’ and Find and name three constellations seen in darker areas. Thus, contrast is good in ‘telescope’ are inseparable. Many newcomers to the southern sky in each of the four seasons refractors. Refractors are often chosen as the the hobby of astronomy mistakenly believe that Find and name - (a) 4 double stars (b) 4 premier instruments for planetary and double- it is important to get a telescope as quickly as variable stars (c) 5 star clusters (d) 5 nebulae star observing. Refractors are also low in possible. -
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From the Director
The Official Publication of the Amateur Astronomers Association of Princeton Director Treasurer Program Chairman John Miller Michael Mitrano Ludy D’Angelo (609) 252-1223 609-737-6518 (609) 882-9336 [email protected] [email protected] [email protected] Assistant Director Secretary Editors John Church Larry Kane Bryan Hubbard and Ira Polans (609) 799-0723 (609) 276-1456 (732) 469-7698 and (609) 448-8644 [email protected] [email protected] [email protected] Volume 37 Midsummer 2008 Number 7 From the Director one point, a twenty foot limousine pulled up to the curb, and four occupants interrupted their evening to take a look through several Summer time…and the observin’s easy. Perhaps if Gershwin was scopes. To heck with the theatre – this was a better show! an astronomer, that’s how the tune would have been written. Both astronomers and the public were thrilled with the success of this Have you taken advantage of the balmy weather and occasional experiment, with an estimated hundred or more locals learning about clear night to get reacquainted with the July sky? astronomy, engaging questions and discovering the Moon, Jupiter and Saturn and Mars (having caught up to Saturn and lying very close binaries through two refractors and one Newtonian scope. as this is written), are far to the west as evening sets in. Sorry to A meeting to discuss plans for the AAAP 2008 – 2009 season is see the Ringed Planet leave for the evening season. Replacing scheduled for Tuesday, August 5th at 7:30PM. As of this writing, the him is his grand neighbor Jupiter, now better positioned earlier in location is uncertain due to Peyton Hall renovation.