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

Format:

Book

Author/Creator:

González-Acuña, Rafael G., author.

Chaparro-Romo, Hector A., author.

Gutiérrez-Vega, Julio C., author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP ebooks. 2020 collection.

IOP series in emerging technologies in optics and photonics

IOP ebooks. [2020 collection]

Language:

English

Subjects (All):

Lenses--Design and construction.

Lenses.

Physical Description:

1 online resource (various pagings) : illustrations (some color).

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

text file

Biography/History:

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.

Summary:

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.

Contents:

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.

Notes:

"Version: 20200401"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on May 6, 2020).

Other Format:

Print version:

ISBN:

9780750331678

9780750331661

OCLC:

1153431264

Access Restriction:

Restricted for use by site license.