这本书在文献中独树一帜，为读者提供了设计天文望远镜和相机中使用的许多光学组合所需的数学背景。工作中呈现的结果是通过使用不同的三阶像差理论方法以及广泛使用软件包Mathematica®获得的。
新提出的三阶像差理论采用的方法基于费马原理，并使用了特殊的光路，而不是被称为柱头光路的光线，从而可以方便地推导三阶公式。这种方法使读者能够理解和处理设计光学组合所需的公式，而无需诉诸更复杂的哈密顿形式主义和赛德尔关系。
附加功能和主题
*在Mathematica的帮助下展示相机和望远镜的三阶设计，无需繁琐的计算机计算
*Mathematica笔记本电脑随书中分析的每个光学组合一起提供下载athttp://extra.springer.com/978-0-8176-4871-8
*具体光学设备的讨论和分析：牛顿望远镜和卡塞格伦望远镜；施密特、赖特、霍顿和马克苏托夫相机；以及其他光学组合，如克列夫佐夫望远镜和贝克-施密特平场相机
*其他补充材料可在出版商网站上获得
*许多人做了例题和练习
几何光学是应用数学、工程、天文学和天文光学的高级研究生、研究人员和从业者的极好参考。本书可作为天文光学、光学设计、光学工程、Mathematica编程或几何光学研究生课程的补充教材。
Geometric Optics: Theory and Design of Astronomical Optical Systems Using Mathematica® by Antonio Romano
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 athttp://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.
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