Geometric optics : theory and design of astronomical optical systems using Mathematica /

Geometric optics : theory and design of astronomical optical systems using Mathematica /

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Bibliographic Details
Author / Creator:Romano, Antonio, author.
Edition:Second edition.
Imprint:Cham, Switzerland : Birkhäuser, ©2016.
Description:1 online resource
Language:English
Series:Modeling and simulation in science, engineering and technology
Modeling and simulation in science, engineering & technology.
Subject:
Geometrical optics.
Geometrical optics -- Mathematics.
Geometrical optics.
Geometrical optics -- Mathematics.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11267133
Hidden Bibliographic Details
Other authors / contributors:Cavaliere, Roberto, author.
ISBN:9783319437323
3319437321
3319437313
9783319437316
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (EBSCO, viewed October 03, 2016).
Summary:This text, now in its second edition, presents the mathematical background needed to design many optical combinations that are used in astronomical telescopes and cameras. It uses a novel approach to third-order aberration theory based on Fermat principle and the use of particular optical paths (called stigmatic paths) instead of rays, allowing for easier derivation of third-order formulae. Each optical combination analyzed is accompanied by a downloadable Mathematica® notebook that automates its third-order design, eliminating the need for lengthy calculations. 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 principal. A simpler approach to third-order monochromatic aberrations based on both Fermat 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 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 in astronomical optics, optical design, optical engineering, programming with Mathematica®, or geometric optics.
Other form:Printed edition: 9783319437316
Standard no.:10.1007/978-3-319-43732-3
Table of Contents:
  • Fermat's Principle and General Considerations
  • Gaussian Optics
  • Fermat's Principle and Third-Order Aberrations
  • About Higher-Order Aberrations
  • Newtonian and Cassegrain Telescopes
  • Cameras for Astronomy
  • Compound Cassegrain Telescopes
  • Doubles and Triplets
  • Other Optical Combinations
  • Fermat's Principle and Wave Fronts
  • Hamiltonian Optics
  • Principal Functions and Primary Aberrations
  • Introduction to Optics in Anisotropic Media Media
  • Appendix A: First-Order PDE
  • Appendix B: Symplectic Vector Spaces.

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