New Computation Methods for Geometrical Optics
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Beschreibung
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.
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
Autor*in
Psang Dain Lin
Themen in »New Computation Methods for Geometrical Optics«
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