ENGLISH

New Computation Methods for Geometrical Optics

By Psang Dain Lin (auth.)

Book information

Publisher
Springer-Verlag Singapur
Year
2014
ISBN
978-981-4451-78-9, 978-981-4451-79-6
DOI
10.1007/978-981-4451-79-6
Language
english
Format
PDF
Filesize
4 MB (3942478 bytes)
Series
Springer Series in Optical Sciences 178
Edition
1
Pages
239\247
Topic
Physics Optics
Orientation
yes
Scanned
yes
Time added
2013-10-06 20:47:57
Optics and Electrodynamics;MicrowavesOptoelectronicsPlasmonics and Optical DevicesRF and Optical Engineering;Numerical and Computati

Description

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.

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