Stigmatic optics

by González-Acunã, Rafael G.

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Title Statements

Full title :Stigmatic optics / Rafael G. González-Acuña, Héctor A. Chaparro-Romo.

Summary

This book examines the concept of stigmatism from its base to the most fundamental stigmatic systems. It starts with the foundations of stigmatism: Maxwell's equations, the eikonal equation, the ray equation, the Fermat principle and Snell's law. Then the most important stigmatic optical systems are studied, without any paraxial or third order approximation or without any optimization process. These systems are the conical mirrors, the Cartesian ovals and the stigmatic lenses. Conical mirrors are studied step by step with clear examples. In the case of the Cartesian ovals, two paradigms are studied: the first, the Cartesian ovals are obtained by means of a polynomial series and the second by means of a general equation of the Cartesian oval. Through the study of these systems, the uniqueness of stigmatism is formulated, and the implications of this uniqueness are presented at the end of the book. This book is an excellent guide for producers of lenses and optical products, and academics in lens design and optics.

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: 20200901"--Title page verso

Title from PDF title page (viewed on October 5, 2020).

The Physical Object

Description:1 online resource (1 PDF (various pagings)) : : illustrations (some color)

Edition Identifiers

ISBN:9780750334631, 0750334630, 9780750334624, 0750334622
DOI:10.1088/978-0-7503-3463-1
oclc:on1199054235
LC Classification:QC355.3
Dewey Decimal:535

1. The Maxwell equations -- 1.1. Introduction -- 1.2. Lorentz force -- 1.3. Electric flux -- 1.4. The Gauss law -- 1.5. The Gauss law for magnetism -- 1.6. Faraday's law -- 1.7. Ampère's law -- 1.8. The wave equation -- 1.9. The speed and propagation of light -- 1.10. Refraction index -- 1.11. Electromagnetic waves -- 1.12. End notes

2. The eikonal equation -- 2.1. From the wave equation, through Helmholtz equation to end with the eikonal equation -- 2.2. The eikonal equation -- 2.3. The ray equation -- 2.4. The Snell law from eikonal -- 2.5. The Fermat principle from eikonal -- 2.6. End notes

3. Calculus of variations -- 3.1. Calculus of variations -- 3.2. The Euler equation -- 3.3. Newton's second law -- 3.4. End notes

4. Optics of variations -- 4.1. Introduction -- 4.2. Lagrangian and Hamiltonian optics -- 4.3. Law of reflection -- 4.4. Law of refraction -- 4.5. The Fermat principle and Snell's law -- 4.6. Malus-Dupin's theorem -- 4.7. End notes

5. Stigmatism and stigmatic reflective surfaces -- 5.1. Introduction -- 5.2. Aberrations -- 5.3. Conic mirrors -- 5.4. Elliptic mirror -- 5.5. Circular mirror -- 5.6. Hyperbolic mirror -- 5.7. Parabolic mirror -- 5.8. End notes

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