This book-unique in the literature-provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®.

Replete with workout examples and exercises, Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica , or geometric optics.

Klappentext

This book-unique in the literature-presents the basic elements of third-order aberrations of optical telescopes, along with the necessary mathematical background, to design almost all optical combinations used in astronomy. The book familiarizes readers with the mathematical aspects of optical design, without the need for tedious computer calculations. The new presented approach to third-order aberration theory, which allows for easy derivation of third-order formulae, without resorting to the much more complex Hamiltonian formalism and Seidel's relations. Other features include a detailed presentation of the third-order design of cameras and telescopes; programs written using the Mathematica software package, which allow readers to obtain the third-order design of several optical configurations of astronomical telescopes in a few seconds; a new software program-developed by the author using Microsoft Windows-which allows the user to obtain the final form of all the optical combinations considered , and many worked-out examples and exercises. Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a text for a graduate-level course in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics. TOC:Preface.- Fermat's Principle and General Considerations.- Gaussian Optics.- Fermat's Principle and Third-Order Aberrations.- Newtonian and Cassegrain Telescopes.- Cameras for Astronomy.- Composed Cassegrain Telescopes.- Doublets and Triplets.- Other Optical Combinations.- Fermat's Principle and Wave Fronts.- Hamiltonian Optics.- Monochromatic Third-Order Abberations.- References.- Index.

Zusammenfassung
This book offers a new approach to third-order aberrations theory. It presents the basic elements of third-order aberrations of optical telescopes, along with the necessary mathematical background, to design almost all optical combinations used in astronomy.

Inhalt

Fermat#x2019;s Principle and General Considerations Regarding Centered Optical Systems.- Gaussian Optics.- Fermat#x2019;s Principle and Third-Order Aberrations.- Newtonian and Cassegrain Telescopes.- Cameras for Astronomy.- Compound Cassegrain Telescopes.- Doublets and Triplets.- Other Optical Combinations.- Fermat#x2019;s Principle and Wavefronts.- Hamiltonian Optics.- Monochromatic Third-Order Aberrations.