Stigmatic optics / Rafael G. Gonzalez-Acuña and 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 in Emerging Technologies in Optics and Photonics Series

Language:

English

Subjects (All):

Optics.

Physical Description:

1 online resource (310 pages)

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.

Contents:

Intro

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This treatise focuses on a particular concept of geometric optics, stigmatism. Stigmatism refers to the image property of an optical system that focuses a single point source in object space at a single point in image space. Two of these points are called a stigmatic pair of the optical system.&lt

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The treatise starts from the foundations of stigmatism: Maxwell&amp

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s equations, the eikonal equation, the ray equation, the Fermat principle and Snell&amp

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Acknowledgments

About the authors

Rafael G González-Acuña

Héctor A Chaparro-Romo

Chapter 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

1.11.1 One-dimensional way

1.11.2 Spherical coordinates

1.12 End notes

References

Chapter 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

2.3.1 n as constant

2.3.2 n(r⃗) as a function

2.4 The Snell law from the eikonal

2.5 The Fermat principle from the eikonal

2.6 End notes

Chapter Calculus of variations

3.1 Calculus of variations

3.2 The Euler equation

3.3 Newton's second law

3.4 End notes

Chapter 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

References.

Chapter 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

Chapter Stigmatic reflective surfaces: the Cartesian ovals

6.1 Introduction

6.2 Stigmatic surfaces

6.2.1 Case I: ro=ri=0,zo→−∞ and zi=f

6.2.2 Case II: ro=ri=0,zo=f and zi→−∞

6.3 Analytical stigmatic refractive surfaces

6.3.1 Case A: ro=ri=0, zo→−∞ and zi=f

6.3.2 Case B: ro=ri=0,zo=f and zi→−∞

6.3.3 Case C: ro=ri=0,zo=∓f and zi=±f

6.3.4 Case D: ro=ri=0,zo=−αf and zi=+f

6.3.5 Case E: ro=ri=0,zo=αf and zi=−f

6.4 Conclusions

Chapter 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

7.9.1 Parabolic mirror

7.10 Illustrative examples

7.11 End notes

Chapter 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

Chapter The general equation of the stigmatic lenses

9.1 Introduction

9.2 Finite object finite image

9.2.1 Fermat's principle

9.2.2 Snell's law

9.2.3 Solution

9.2.4 The eikonal of the stigmatic lens

9.2.5 Gallery

9.3 Stigmatic aspheric collector

9.3.1 The eikonal of the stigmatic collector

9.3.2 Gallery

9.4 Stigmatic aspheric collimator

9.4.1 The eikonal of the stigmatic collimator

9.4.2 Gallery.

9.5 The single-lens telescope

9.5.1 The eikonal of the single-lens telescope

9.5.2 Gallery

9.6 End notes

Chapter 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

Chapter 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

11.5.1 First surface

11.5.2 Second surface

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

Chapter Algorithms for stigmatic design

12.1 Programs for chapter 6

12.1.1 Case: real finite object-real finite image

12.1.2 Case: Real infinity object-real finite image

12.1.3 Case: Real infinity object-virtual finite image

12.1.4 Case: Real finite object-virtual finite image

12.1.5 Case: Real finite object-real infinite image

12.1.6 Case: Virtual finite object-real infinite image

12.1.7 Case: Virtual finite object-virtual finite image

12.2 Programs for chapter 7

12.2.1 Case 1: Real finite object-real finite image

12.2.2 Case 2: Real infinity object-real finite image

12.2.3 Case 3: Real infinity object-virtual finite image.

12.2.4 Case 4: Real finite object-virtual finite image

12.2.5 Case 5: Real finite object-real infinite image

12.2.6 Case 6: Virtual finite object-real infinite image

12.2.7 Case 7: Virtual finite object-real finite image

12.2.8 Case 8: Virtual finite object-virtual finite image

12.2.9 Case 9: Real infinite object-real infinite image

12.3 Programs for chapter 8

12.3.1 Case 1: Real finite object-real finite image

12.3.2 Case 2: Real infinity object-real finite image

12.3.3 Case 3: Real infinity object-virtual finite image

12.3.4 Case 4: Real finite object-virtual finite image

12.3.5 Case 5: Real finite object-real infinite image

12.3.6 Case 6: Virtual finite object-real infinite image

12.3.7 Case 7: Virtual finite object-real finite image

12.3.8 Case 8: Virtual finite object-virtual finite image

12.3.9 Case 9: Real infinite object-real infinite image

12.4 Programs for chapter 9

12.4.1 Case 1: Real finite object-real finite image

12.4.2 Case 2: Real infinity object-real finite image

12.4.3 Case 3: Real infinity object-virtual finite image

12.4.4 Case 4: Real finite object-virtual finite image

12.4.5 Case 5: Real finite object-real infinite image

12.4.6 Case 6: Virtual finite object-real infinite image

12.4.7 Case 7: Virtual finite object-real finite image

12.4.8 Case 8: Virtual finite object-virtual finite image

12.4.9 Case 9: Real infinite object-real infinite image.

Notes:

"Version: 20240701"--Title page verso.

Includes bibliographical references.

Description based on publisher supplied metadata and other sources.

Description based on print version record.

ISBN:

9780750364232

0750364238

OCLC:

1451139964