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

Format:

Book

Author/Creator:

González-Acuña, Rafael G., author.

Chaparro-Romo, Hector A., author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP (Series). Release 24.

IOP series in emerging technologies in optics and photonics

IOP ebooks. 2024 collection.

[IOP release $release]

IOP ebooks. [2024 collection]

Language:

English

Subjects (All):

Optics.

Local Subjects:

Optics.

Physical Description:

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

Edition:

Second edition.

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2024]

System Details:

Mode of access: World Wide Web.

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

Biography/History:

Rafael G. González-Acuäna studied industrial physics engineering at the Tecnológico de Monterrey and studied the master's degree in optomechatronics at the Optics Research Center, A.C. He has PhD from the Tecnológico 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. Héctor 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.

Summary:

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.

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 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 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. Fermat's principle and Snell's law

4.6. The Malus-Dupin 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 reflective 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 René 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 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. 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 notes

11. 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 notes

12. 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.

Notes:

"Version: 20240701"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on August 1, 2024).

Other Format:

Print version:

ISBN:

9780750364232

9780750364249

OCLC:

1451139964

Access Restriction:

Restricted for use by site license.