TY  - BOOK
AU  - Gonzalez-Acuna,Rafael G.
AU  - Chaparro-Romo,Hector A.
ED  - Institute of Physics (Great Britain),
TI  - Stigmatic optics
T2  - [IOP release $release]
SN  - 9780750364232
AV  - QC355.3 .G667 2024eb
PY  - 2024///]
CY  - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
PB  - IOP Publishing
KW  - Optics
KW  - Optical physics
KW  - bicssc
KW  - SCIENCE / Physics / Optics & Light
KW  - bisacsh
N1  - "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 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 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 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; Full-text restricted to subscribers or individual document purchasers; Optical engineers, academics in optics and physics; Also available in print
N2  - 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
UR  - https://iopscience.iop.org/book/mono/978-0-7503-6423-2
ER  -