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Analytical lens design /

"Version: 20230501"--Title page verso.Includes bibliographical references.part I. A historical, mathematical and optical introduction for beginners. 1. A brief history of stigmatic lens desing -- 1.1. The rise of geometrical optics -- 1.2. Optics of the ancient Greeks and Arab world -- 1.3. Snell, Descartes, Huygens, Newton and Fermat -- 1.4. 19th and 20th century -- 1.5. The computer era and the closure of a conjecture2. A mathematical toolkit for stigmatic imaging -- 2.1. A mathematical toolkit -- 2.2. Set theory -- 2.3. Topological spaces -- 2.4. Metric spaces -- 2.5. The conics -- 2.6. Geometric algebra -- 2.7. Conclusions3. An introduction to geometrical optics -- 3.1. Geometrical optics -- 3.2. The principle of least action -- 3.3. Reflection -- 3.4. Refraction -- 3.5. Two-dimensional Snell's law in geometric algebra -- 3.6. Three-dimensional Snell's law in geometric algebra -- 3.7. Stigmatism -- 3.8. Optical aberrations -- 3.9. Conclusionspart II. Stigmatic singlets. 4. On-axis stigmatic aspheric lens -- 4.1. Introduction -- 4.2. Finite object finite image -- 4.3. Evolution tables of the shape of on-axis stigmatic lens -- 4.4. Stigmatic aspheric collector -- 4.5. Stigmatic aspheric collimator -- 4.6. The single-lens telescope -- 4.7. Conclusions5. Geometry of on-axis stigmatic lenses -- 5.1. Introduction -- 5.2. Lens free of spherical aberration finite-finite case -- 5.3. Lens free of spherical aberration infinite-finite case -- 5.4. Lens free of spherical aberration finite-infinite case -- 5.5. Lens free of spherical aberration infinite-infinite case -- 5.6. Conclusions6. Topology of on-axis stigmatic lenses -- 6.1. Introduction -- 6.2. The topology of on-axis stigmatic lens -- 6.3. Example of the topological properties -- 6.4. Conclusions7. The gaxicon -- 7.1. Introduction -- 7.2. Geometrical model -- 7.3. Gallery of axicons -- 7.4. Conclusions8. On-axis spherochromatic singlet -- 8.1. Introduction -- 8.2. Mathematical model -- 8.3. Illustrative examples -- 8.4. Spherochromatic collimator -- 8.5. Gallery of spherochromatic collimators -- 8.6. Discussion and conclusionspart III. Stigmatic and astigmatic freeform singlets. 9. On-axis stigmatic freeform lens -- 9.1. Introduction -- 9.2. Finite image-object -- 9.3. The freeform collector lens -- 9.4. The freeform collimator lens -- 9.5. The beam-shaper -- 9.6. Conclusions10. On-axis astigmatic freeform lens -- 10.1. Introduction -- 10.2. Mathematical model -- 10.3. Gallery of examples -- 10.4. Conclusionspart IV. Stigmatic optical systems. 11. On-axis sequential optical systems -- 11.1. Introduction -- 11.2. Mathematical model -- 11.3. Illustrative examples -- 11.4. Conclusions12. On-axis sequential refractive-reflective telescope -- 12.1. Introduction -- 12.2. Examples -- 12.3. Conclusionspart V. Aplanatic singlets and optical systems. 13. Off-axis stigmatic lens -- 13.1. Introduction -- 13.2. Mathematical model -- 13.3. Illustrative examples -- 13.4. Mathematical implications of a non-symmetric solution -- 13.5. Conclusions14. Aplanatic singlet lens : general setting part 1 -- 14.1. Introduction -- 14.2. Off-axis stigmatic collector lens -- 14.3. On-axis stigmatic lens for an arbitrary reference path -- 14.4. The merging of two solutions -- 14.5. Examples -- 14.6. Conclusions15. Aplanatic singlet lens : general setting part 2 -- 15.1. Introduction -- 15.2. Off-axis stigmatic lens -- 15.3. On-axis stigmatic lens for an arbitrary reference path -- 15.4. The merging of the two solutions -- 15.5. Examples -- 15.6. Conclusions16. Abbe aplanatic singlet -- 16.1. Introduction -- 16.2. The finite object finite image aplanatic singlet -- 16.3. Infinite object finite image aplanatic singlet -- 16.4. Conclusion17. Abbe aplanatic optical systems -- 17.1. Introduction -- 17.2. Mathematical model -- 17.3. An illustrative example -- 17.4. Conclusionspart VI. Stigmatic mirror systems. 18. The set of all possible pairs of stigmatic mirrors -- 18.1. Introduction -- 18.2. Mathematical model -- 18.3. Fermat principle -- 18.4. Gallery -- 18.5. Stigmatic collector -- 18.6. Conclusion19. Design of a pair of aplanatic mirrors -- 19.1. Introduction -- 19.2. Mathematical model -- 19.3. Illustrative example -- 19.4. Conclusions20. The stigmatic three-freeform-mirror system -- 20.1. Introduction -- 20.2. Mathematical model -- 20.3. Illustrative example -- 20.4. Conclusion21. The power set of mirror-based stigmatic optical systems -- 21.1. Introduction -- 21.2. Mathematical model -- 21.3. Illustrative example -- 21.4. Conclusions.This book explores the lenses analogous to conic mirrors, the only kind of mirrors free of spherical aberration. With new ideas and results appearing in the field of optics, this second edition presents an in-depth look at lenses free of spherical aberrations and uses illustrative examples. Based on ideas from the first edition, this text contains six new chapters, which are not limited to stigmatic lenses but also discuss aplanatic lenses, stigmatic mirror systems and aplanatic mirrors. A newly added fourth part studies stigmatism and aplanatism in systems made purely with mirrors. The characteristics of these lenses and the equations that describe them are also studied. Finally, several implications of these lenses are analysed, such as freeform lenses, optical systems, axicons, telescopes and more. Scenarios with on-axis objects and off-axis objects are considered. Cases where the object is real or virtual and the image is real or virtual are also presented. Part of IOP Series in Emerging Technologies in Optics and Photonics.Optical engineers working in lens design and optical products.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Rafael G. Gonz?alez-Acu?ana studied industrial physics engineering at the Tecnol?ogico de Monterrey and studied a master's degree in optomechatronics at Centro de investigaciones en ?Optica, A.C. He has a PhD in optics from Tecnol?ogico de Monterrey. His doctoral thesis focuses on the design of free spherical aberration lenses. He is co-author of the solution to the problem of designing bi-aspheric singlet lenses free of spherical aberration. He has won several international awards and scholarships and co-authored 32 papers in lens design. He currently works on lens design for Huawei Technologies. H?ector A. Chaparro-Romo is an Electronic Engineer who has specialized in scientific computation and has years of experience in optics research and applications. He is co-author of the solution to the problem of designing bi-aspheric singlet lenses free of spherical aberration. He is an independent and multidisciplinary researcher, currently focussing on the study of computer networks and advanced design of economic optical systems in his self-employed home office. Julio C. Guti?errez-Vega is a full professor in the Physics Department and heads the Photonics and Mathematical Optics Group at the Tecnol?ogico de Monterrey, M?exico. He has authored and co-authored about 101 journal papers and 83 conference proceedings, reporting more than 3500 citations to date with an h-index of 30. He served on the editorial committee of the journals Optics and Photonics News and Optics Express and was a member of the scientific committee of the SPIE conference Laser Beam Shaping for 12 years. Guti?errez-Vega is a fellow member of OSA.Title from PDF title page (viewed on June 10, 2023).

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Series Title
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Call Number
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Publisher
: .,
Collation
1 online resource (various pagings) :illustrations (some color).
Language
English
ISBN/ISSN
9780750357746
Classification
681.423
Content Type
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Media Type
-
Carrier Type
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Edition
Second edition.
Subject(s)
Optical physics.
SCIENCE / Physics / Optics & Light.
Lenses
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