Analytical lens design

by González-Acunã, Rafael G.

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Title Statements

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

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.

Edition Statements

Publication Date:2020

Publication Statements

Publisher(s):IOP Publishing
Place of Publication:Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
Language:eng
Publication Date:2020

Notes

"Version: 20200401"--Title page verso

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

The Physical Object

Description:1 online resource : : illustrations (some color)

Edition Identifiers

ISBN:9780750331678, 0750331674, 9780750331661, 0750331666
DOI:10.1088/978-0-7503-3167-8
oclc:on1153431264
LC Classification:QC385.2.D47
Dewey Decimal:681/.423

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. Geomet…