Overview
- Provides the mathematical background needed to design many optical combinations that are used in astronomical telescopes and cameras
- Presents a simpler approach to third-order aberration theory based on Fermat’s principle and the use of stigmatic paths instead of rays
- Numerous diagrams, worked-out examples, and exercises for further practice of key concepts are included throughout the book
- Each optical combination analyzed is accompanied by a downloadable Mathematica® notebook that automates its third-order design, eliminating the need for lengthy calculations
- Includes supplementary material: sn.pub/extras
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The essential aspects of an optical system with an axis of rotational symmetry are introduced first, along with a development of Gaussian optics from Fermat’s principal. A simpler approach to third-order monochromatic aberrations based on both Fermat’s principle and stigmatic paths is then described, followed by a new chapter on fifth-order aberrations and their classification. Several specific optical devices are discussed and analyzed, including the Newtonian and Cassegrain telescopes; the Schmidt, Wright, Houghton, and Maksutov cameras; the Klevtsov telescope; the Baker-Schmidt flat-field camera; the Buchroeder camera; and, new in this edition, the Baker-Nunn camera and optical combinations with sub-corrector and Petzval objectives. Finally, the Lagrangian and Hamiltonian formulations of geometric optics and Seidel’s third-order aberration theory are presented, and a new chapter considers optics in anisotropic media. Numerous diagrams, worked-out examples, and exercises for further practice of key concepts are included throughout the book.
Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. It can also be used as a supplementary textbook for graduate-level courses inastronomical optics, optical design, optical engineering, programming with Mathematica®, or geometric optics.
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Authors and Affiliations
Bibliographic Information
Book Title: Geometric Optics
Book Subtitle: Theory and Design of Astronomical Optical Systems Using Mathematica®
Authors: Antonio Romano, Roberto Cavaliere
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-3-319-43732-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-43731-6Published: 05 October 2016
Softcover ISBN: 978-3-319-82896-1Published: 14 June 2018
eBook ISBN: 978-3-319-43732-3Published: 26 September 2016
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 2
Number of Pages: XII, 289
Number of Illustrations: 112 b/w illustrations, 56 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Optics, Lasers, Photonics, Optical Devices, Microwaves, RF and Optical Engineering, Mathematical Applications in the Physical Sciences