Happy Holidays! Over 120,000 eBooks at just 19.99 each— Pick a favorite today

Modeling and Simulation in Science, Engineering and Technology

Geometric Optics

Theory and Design of Astronomical Optical Systems Using Mathematica®

Authors: Romano, Antonio, Cavaliere, Roberto

  • 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
see more benefits

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-43732-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-319-43731-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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’s 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’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 in astronomical optics, optical design, optical engineering, programming with Mathematica®, or geometric optics.

Reviews

“This is a comprehensive book on a variety of phenomena and basic elements of geometric optics with application in constructing astronomical optical telescopes. … The clearly written text … is a useful reference not only for professional researchers in the field of geometrical optics but can also be interesting to graduate students and teachers at college level.” (Vladimir Čadež, zbMATH 1364.78004, 2017)


Table of contents (13 chapters)

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

    Romano, Antonio (et al.)

    Pages 1-21

  • Gaussian Optics

    Romano, Antonio (et al.)

    Pages 23-51

  • Fermat’s Principle and Third-Order Aberrations

    Romano, Antonio (et al.)

    Pages 53-89

  • About Higher Order Aberrations

    Romano, Antonio (et al.)

    Pages 91-105

  • Newtonian and Cassegrain Telescopes

    Romano, Antonio (et al.)

    Pages 107-118

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-43732-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-319-43731-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

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
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-43732-3
DOI
10.1007/978-3-319-43732-3
Hardcover ISBN
978-3-319-43731-6
Series ISSN
2164-3679
Edition Number
2
Number of Pages
XII, 289
Number of Illustrations and Tables
112 b/w illustrations, 56 illustrations in colour
Topics