New Computation Methods for Geometrical Optics

Nonfiction, Science & Nature, Technology, Microwaves, Science, Physics, Electricity
Cover of the book New Computation Methods for Geometrical Optics by Psang Dain Lin, Springer Singapore
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Author: Psang Dain Lin ISBN: 9789814451796
Publisher: Springer Singapore Publication: October 1, 2013
Imprint: Springer Language: English
Author: Psang Dain Lin
ISBN: 9789814451796
Publisher: Springer Singapore
Publication: October 1, 2013
Imprint: Springer
Language: English

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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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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