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New Computation Methods for Geometrical Optics (eBook)

Artikelnummer: 978-981-4451-79-6
Einband: PDF
Verfügbarkeit: Download, sofort verfügbar (Link per E-Mail)
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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.

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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VerlagSpringer Nature Singapore
EinbandPDF
Erscheinungsjahr2013
Seitenangabe239 S.
AusgabekennzeichenEnglisch
AbbildungenXII, 239 p. 134 illus., 33 illus. in color.
Masse4'535 KB
PlattformPDF
ReiheSpringer Series in Optical Sciences; Physics and Astronomy; Physics and Astronomy
AutorLin, Psang Dain

Alle Bände der Reihe "Springer Series in Optical Sciences; Physics and Astronomy; Physics and Astronomy (R0)"

Über den Autor Psang Dain Lin

Dr. PD Lin is a distinguished Professor of Mechanical Engineering Department at 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. He has published over 80 papers and supervised over 60 MS and 11 Ph.D. students. His research interests include geometrical optics and error analysis in multi-axis machines. In geometrical optics, he employs homogeneous coordinate notation to compute the first- and second-order derivative matrices of various optical quantities. It is one of the important mathematical tools for automatic optical design.

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