Stigmatic optics /

---

"Version: 20240701"--Title page verso.Includes bibliographical references.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. Amp?ere'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 notes2. The eikonal equation -- 2.1. From the wave equation, through the Helmholtz equation, to end with the eikonal equation -- 2.2. The eikonal equation -- 2.3. The ray equation -- 2.4. The Snell law from the eikonal -- 2.5. The Fermat principle from the eikonal -- 2.6. End notes3. Calculus of variations -- 3.1. Calculus of variations -- 3.2. The Euler equation -- 3.3. Newton's second law -- 3.4. End notes4. Optics of variations -- 4.1. Introduction -- 4.2. Lagrangian and Hamiltonian optics -- 4.3. Law of reflection -- 4.4. Law of refraction -- 4.5. Fermat's principle and Snell's law -- 4.6. The Malus-Dupin theorem -- 4.7. End notes5. 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 notes6. Stigmatic reflective surfaces : the Cartesian ovals -- 6.1. Introduction -- 6.2. Stigmatic surfaces -- 6.3. Analytical stigmatic refractive surfaces -- 6.4. Conclusions7. The general equation of the Cartesian oval -- 7.1. From Ibn Sahl to Ren?e 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. Refractive surface -- 7.10. Illustrative examples -- 7.11. End notes8. 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 notes9. 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 notes10. Aberrations in Cartesian ovals -- 10.1. Introduction -- 10.2. A change of notation for Cartesian ovals -- 10.3. On-axis aberrations -- 10.4. Off-axis aberrations -- 10.5. End notes11. The stigmatic lens and the Cartesian ovals -- 11.1. Introduction -- 11.2. Comparison of different stigmatic lenses made by Cartesian ovals -- 11.3. Cartesian ovals in a parametric form -- 11.4. Cartesian ovals in an explicit form as a first surface and general equation of stigmatic lenses -- 11.5. Cartesian ovals in a parametric form as a first surface and general equation of stigmatic lenses -- 11.6. Illustrative comparison -- 11.7. Cartesian ovals in a parametric form for an object at minus infinity -- 11.8. Cartesian ovals in an explicit form for an object at minus infinity -- 11.9. Cartesian ovals in a parametric form as a first surface and general equation of stigmatic lenses for an object at minus infinity -- 11.10. Illustrative comparison -- 11.11. Implications -- 11.12. End notes12. Algorithms for stigmatic design -- 12.1. Programs for chapter 6 -- 12.2. Programs for chapter 7 -- 12.3. Programs for chapter 8 -- 12.4. Programs for chapter 9.Full-text restricted to subscribers or individual document purchasers.Stigmatism refers to the image-formation property of an optical system which focuses a single point source in object space into a single point in image space. Two such points are called a stigmatic pair of the optical system. 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. Part of IOP Series in Emerging Technologies in Optics and Photonics.Optical engineers, academics in optics and physics.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Rafael G. Gonz?alez-Acu?ana studied industrial physics engineering at the Tecnol?ogico de Monterrey and studied the master's degree in optomechatronics at the Optics Research Center, A.C. He has PhD from the Tecnol?ogico de Monterrey. His doctoral thesis focuses on the design of free spherical aberration lenses. Rafael has been awarded the 2019 Optical Design and Engineering Scholarship by SPIE and he is the co-author of the IOP book, Analytical lens design. H?ector A. Chaparro-Romo, Economist and Electronic Engineer, he is co-author of the solution to the problem of designing bi-aspheric singlet lenses free of spherical aberration and the adaptative mirror solution. He is the co-author of the IOP book, Analytical lens design and Optical Path Theory.Title from PDF title page (viewed on August 1, 2024).

---

Availability

No copy data

Detail Information

Series Title

-

Call Number

-

Publisher

: .,

Collation

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

Language

English

ISBN/ISSN

9780750364232

Classification

535

Content Type

-

Media Type

-

Carrier Type

-

Edition

Second edition.

Subject(s)

Optical physics.
SCIENCE / Physics / Optics & Light.
Optics.

Specific Detail Info

-

Statement of Responsibility

Rafael G. Gonz?alez-Acu?ana, H?ector A. Chaparro-Romo.

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment