New Computation Methods for Geometrical Optics

  • Psang Dain┬áLin
Part of the Springer Series in Optical Sciences book series (SSOS, volume 178)

Table of contents

About this book

Introduction

This book employs homogeneous coordinate notation to compute the first- and second-order derivative matrices of various optical quantities. It will be one of the important mathematical tools for automatic optical design. The traditional geometrical optics is based on raytracing only. It is very difficult, if possible, to compute the first- and second-order derivatives of a ray and optical path length with respect to system variables, since they are recursive functions. Consequently, current commercial software packages use a finite difference approximation methodology to estimate these derivatives for use in optical design and analysis. Furthermore, previous publications of geometrical optics use vector notation, which is comparatively awkward for computations for non-axially symmetrical systems.

Keywords

Axis-Symmetrical Systems Caustic Surface Geometrical Optics Homogeneous Coordinate Notation Jacobian Matrix Modulation Transfer Function Optical Path Length Paraxial Optics Point Spread Function Skew-Ray Tracing Wavefront Shape

Authors and affiliations

  • Psang Dain┬áLin
    • 1
  1. 1.Dept. of Mechanical EngineeringNational Cheng Kung UniversityTainanTaiwan

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-4451-79-6
  • Copyright Information Springer Science+Business Media Singapore 2014
  • Publisher Name Springer, Singapore
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-981-4451-78-9
  • Online ISBN 978-981-4451-79-6
  • Series Print ISSN 0342-4111
  • Series Online ISSN 1556-1534
  • About this book