The Mathematics of Geometrical and Physical Optics
(Sprache: Englisch)
In this sequel to his book, The Optics of Rays, Wavefronts, and Caustics , Stavroudis not only covers his own research results, but also includes more recent developments. The book is divided into three parts, starting with basic mathematical concepts that are further applied in the book.
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Produktinformationen zu „The Mathematics of Geometrical and Physical Optics “
In this sequel to his book, The Optics of Rays, Wavefronts, and Caustics , Stavroudis not only covers his own research results, but also includes more recent developments. The book is divided into three parts, starting with basic mathematical concepts that are further applied in the book.
Klappentext zu „The Mathematics of Geometrical and Physical Optics “
In this sequel to his book, "The Optics of Rays, Wavefronts, and Caustics," Stavroudis not only covers his own research results, but also includes more recent developments. The book is divided into three parts, starting with basic mathematical concepts that are further applied in the book. Surface geometry is treated with classical mathematics, while the second part covers the k-function, discussing and solving the eikonal equation as well as Maxwell equations in this context. A final part on applications consists of conclusions drawn or developed in the first two parts of the book, discussing such topics as the Cartesian oval, the modern Schiefspiegler, Huygen s principle, and Maxwell s model of Gauss perfect lens.
Inhaltsverzeichnis zu „The Mathematics of Geometrical and Physical Optics “
Part I: Preliminaries1. Calculus of Variations2. Calculus of Variations: Differential Geometry of Space Curves (Helix and Ellipse)3. Fermat's Principle and the Ray Equation for Inhomogeneous Isotropic Media4. Hilber Integral, the Derivation of the Hamilton-Jacobi Theory, and the Eikonal Equation5. First-order Partial Differential EquationsPart II: The k-Function6. Calculation of Surface Differential Geometry Parameters7. Ray Tracing8. Refraction of Wavefronts at Surfaces9. Solution of the Maxwell Equation in the Context of the k-functionPart III: Applications10. Pseudo Maxwell Equations11. Derivation and Discussion of the Cartesian Oval12. The Modern Schiefspiegler13. Huygen's Principle14. Maxwell's Model of Gauss' Perfect Lens
Autoren-Porträt von Orestes N. Stavroudis
O. N. Stavroudis has researched and lectured in the area of the mathematics of geometrical and physical optics and their application for 50 years. He is Professor Emeritus at the Optical Sciences Center, University of Arizona, Tucson, USA, and currently works as an Investigador Titular at the Centro de Investigaciones en Optics, Leon, Guanajuato, Mexico. His research field covers differential geometry of wavefronts, k-function and Maxwell equations, wildly off-axis telescopes, generalized ray tracing and modular optical design. He published numerous reviews and contributions for books, and authored several monographs.
Bibliographische Angaben
- Autor: Orestes N. Stavroudis
- 2006, XIV, 226 Seiten, 38 Schwarz-Weiß-Abbildungen, Maße: 17,7 x 24,4 cm, Gebunden, Englisch
- Verlag: Wiley-VCH
- ISBN-10: 3527404481
- ISBN-13: 9783527404483
- Erscheinungsdatum: 22.05.2006
Sprache:
Englisch
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