© 2014

New Computation Methods for Geometrical Optics


  • Employs homogeneous coordinate notation to compute the first-and second-order derivative matrices of various optical quantities

  • Written for researchers, designers and graduate students

  • Serves as an important mathematical tool for automatic optical design


Part of the Springer Series in Optical Sciences book series (SSOS, volume 178)

Table of contents

About this book


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.


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

  1. 1.Dept. of Mechanical EngineeringNational Cheng Kung UniversityTainanTaiwan

About the authors

Dr. PD Lin is a distinguished Professor of Mechanical Engineering at the National Cheng Kung University, Taiwan, where he has been since 1989. He earned his BS and MS from that university in 1979 and 1984, respectively. He received his Ph.D. in Mechanical Engineering from Northwestern University, USA, in 1989. He has served as an associate editor of Journal of the Chinese Society of Mechanical Engineers since 2000. His research interests include geometrical optics and error analysis in multi-axis machines.

Bibliographic information

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