Analytical lens design / Rafael G. González-Acunã, Héctor A. Chaparro-Romo, Julio C. Gutiérrez-Vega.

González-Acunã, Rafael G., author.
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]
1 online resource (various pagings) : illustrations (some color).
IOP ebooks. 2020 collection.
IOP series in emerging technologies in optics and photonics.
IOP ebooks. [2020 collection]
IOP series in emerging technologies in optics and photonics

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Lenses -- Design and construction.
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Rafael G. González-Acuña studied industrial physics engineering at the Tecnológico de Monterrey, Mexico, and earned a master's degree in optomechatronics at Centro de Investigaciones en Óptica. He is currently studying for a PhD at the Tecnológico de Monterrey. Héctor A. Chaparro-Romo is an electronic engineer specialising in scientific computation. He has years of experience in optics research and applications. Julio C. Gutiérrez-Vega is a full professor within the Physics Department at the Tecnológico de Monterrey, México, where he also heads the Photonics and Mathematical Optics Group.
This book presents an in-depth look at lenses free of spherical aberrations and is provided using illustrative examples. Mathematical principles behind lenses free of spherical aberration are included with an introduction to set theory, the conics, continuity, real analysis and topology. Physical principles are covered as well as a step by step guide to mathematical model for deducing the general formula of the stigmatic lens, in order to design a singlet free of spherical aberration. Subsequently, the characteristics of these lenses and the equations that describes them are studied. Finally, several implications of these lenses are studied, 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. The book is a valuable resource for industrial specialists and academics in lens design and optics, and an insightful guide for optical physics students. Part of IOP Series in Emerging Technologies in Optics and Photonics.
part I. A historical, mathematical and optical introduction. 1. A brief history of stigmatic lens design
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 conjecture
2. 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. Conclusions
3. 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 dimensions Snell's law in geometric algebra
3.7. Stigmatism
3.8. Optical aberrations
3.9. Conclusions
part 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. Conclusions
5. 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. Conclusions
6. 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. Conclusions
7. The gaxicon
7.1. Introduction
7.2. Geometrical model
7.3. Gallery of axicons
7.4. Conclusions
8. On-axis spherochromatic singlet
8.1. Introduction
8.2. Mathematical model
8.3. Illustrative examples
8.4. Spherochromatic collimator
8.5. Galley of spherochromatic collimators
8.6. Discussion and conclusions
part 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. Conclusions
10. On-axis astigmatic freeform lens
10.1. Introduction
10.2. Mathematical model
10.3. Galley of examples
10.4. Conclusions
part IV. Stigmatic optical systems. 11. On-axis sequential optical systems
11.1. Introduction
11.2. Mathematical model
11.3. Illustrative examples
11.4. Conclusions
12. On-axis sequential refractive-reflective telescope
12.1. Introduction
12.2. Examples
12.3. Conclusions
part V. Aplanatic singlets. 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. Conclusions
14. 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. Conclusions
15. 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 two solutions
15.5. Examples
15.6. Conclusions.
"Version: 20200401"--Title page verso.
Includes bibliographical references.
Title from PDF title page (viewed on May 6, 2020).
Chaparro-Romo, Héctor A., author.
Gutiérrez-Vega, Julio C., author.
Institute of Physics (Great Britain), publisher.
Other format:
Print version:
Publisher Number:
10.1088/978-0-7503-3167-8 doi
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Restricted for use by site license.