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Stigmatic optics /
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 s...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
IOP Publishing,
[2020]
|
| Colección: | IOP series in emerging technologies in optics and photonics.
IOP ebooks. 2020 collection. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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
- 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.