Modeling and Simulation in Science, Engineering and Technology

Geometric Optics

Theory and Design of Astronomical Optical Systems Using Mathematica®

Authors: Romano, Antonio

  • Presentation of the third-order design of cameras and telescopes with the aid of Mathematica eliminates the need for tedious computer calculations
  • Mathematica notebooks accompanying each optical combination analyzed in the book are available for download at http://extra.springer.com/978-0-8176-4871-8
  • Discussion and analysis of specific optical devices: Newtonian and Cassegrain telescopes; Schmidt, Wright, Houghton, and Maksutov cameras; and other optical combinations, such as the Klevtsov telescope and the Baker–Schmidt flat-field camera
  • For a broad audience of graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics
  • Many worked-out examples and exercises; may be used as a text for a graduate-level course in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics
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eBook $129.00
price for USA (gross)
  • ISBN 978-0-8176-4872-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
About this book

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®.

The newly presented approach to third-order aberration theory adopted is based on Fermat’s principle and the use of particular optical paths—not rays—termed stigmatic paths, allowing for easy derivation of third-order formulae. This approach enables readers to understand and handle the formulae required to design optical combinations without resorting to the much more complex Hamiltonian formalism and Seidel's relations.

Additional features and topics:

* Presentation of the third-order design of cameras and telescopes with the aid of Mathematica eliminates the need for tedious computer calculations

* Mathematica notebooks accompanying each optical combination analyzed in the book are available for download at http://extra.springer.com/978-0-8176-4871-8

* Discussion and analysis of specific optical devices: Newtonian and Cassegrain telescopes; Schmidt, Wright, Houghton, and Maksutov cameras; and other optical combinations, such as the Klevtsov telescope and the Baker–Schmidt flat-field camera

* Additional supplementary material available at the publisher's website

* 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 supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics.

Table of contents (11 chapters)

  • Fermat’s Principle and General Considerations Regarding Centered Optical Systems

    Romano, Antonio

    Pages 1-23

  • Gaussian Optics

    Romano, Antonio

    Pages 25-47

  • Fermat’s Principle and Third-Order Aberrations

    Romano, Antonio

    Pages 49-89

  • Newtonian and Cassegrain Telescopes

    Romano, Antonio

    Pages 91-100

  • Cameras for Astronomy

    Romano, Antonio

    Pages 101-125

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-0-8176-4872-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Optics
Book Subtitle
Theory and Design of Astronomical Optical Systems Using Mathematica®
Authors
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2010
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4872-5
DOI
10.1007/978-0-8176-4872-5
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XII, 224
Number of Illustrations and Tables
130 b/w illustrations
Topics