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

Author
González-Acuña, Rafael G.
Published
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]
Physical Description
1 online resource (various pagings) : illustrations (some color).
Additional Creators
Chaparro-Romo, Héctor A. and Institute of Physics (Great Britain)
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Contents
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, 6. Stigmatic refractive surfaces : the Cartesian ovals -- 6.1. Introduction -- 6.2. Stigmatic surfaces -- 6.3. Analytical stigmatic refractive surfaces -- 6.4. Conclusions, 7. The general equation of the Cartesian oval -- 7.1. From Ibn Sahl to Rene Descartes -- 7.2. A generalized problem -- 7.3. Mathematical model -- 7.4. Illustrative examples -- 7.5. Collimated input rays -- 7.6. Illustrative examples -- 7.7. Collimated output rays -- 7.8. Illustrative examples -- 7.9. Reflective surface -- 7.10. Illustrative examples -- 7.11. End notes, 8. The stigmatic lens generated by Cartesian ovals -- 8.1. Introduction -- 8.2. Mathematical model -- 8.3. Examples -- 8.4. Collector -- 8.5. Examples -- 8.6. Collimator -- 8.7. Examples -- 8.8. Single-lens telescope with Cartesian ovals -- 8.9. Example -- 8.10. End notes, 9. The general equation of the stigmatic lenses -- 9.1. Introduction -- 9.2. Finite object finite image -- 9.3. Stigmatic aspheric collector -- 9.4. Stigmatic aspheric collimator -- 9.5. The single-lens telescope -- 9.6. End notes, 10. The stigmatic lens and the Cartesian ovals -- 10.1. Introduction -- 10.2. Comparison between the different stigmatic lenses made by Cartesian ovals -- 10.3. Cartesian ovals in a parametric form -- 10.4. Cartesian ovals in an explicit form as a first surface and general equation of stigmatic lenses -- 10.5. Cartesian ovals in a parametric form as a first surface and general equation of stigmatic lenses -- 10.6. Illustrative comparison -- 10.7. Cartesian ovals in a parametric form for an object at minus infinity -- 10.8. Cartesian ovals in an explicit form for an object at minus infinity -- 10.9. Cartesian ovals in a parametric form as a first surface and general equation of stigmatic lenses for an object at minus infinity -- 10.10. Illustrative comparison -- 10.11. Implications -- 10.12. End notes, and 11. Algorithms for stigmatic design -- 11.1. Programs for chapter 6 -- 11.2. Programs for chapter 7 -- 11.3. Programs for chapter 8 -- 11.4. Programs for chapter 9.
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.
Subject(s)
ISBN
9780750334631 ebook
9780750334624 mobi
9780750334617 print
9780750334648 myPrint
Audience Notes
Optical engineers, academics in optics and physics.
Note
"Version: 20200901"--Title page verso.
Bibliography Note
Includes bibliographical references.
Other Forms
Also available in print.
Technical Details
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Biographical or Historical Sketch
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.
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