New Computation Methods for Geometrical Optics (Springer Series in Optical Sciences, 178) - Hardcover

Lin, Psang Dain

 
9789814451789: New Computation Methods for Geometrical Optics (Springer Series in Optical Sciences, 178)

Synopsis

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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About the Author

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.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9789811013416: New Computation Methods for Geometrical Optics (Springer Series in Optical Sciences, 178)

Featured Edition

ISBN 10:  9811013411 ISBN 13:  9789811013416
Publisher: Springer, 2016
Softcover