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Psang Dain
New Computation Methods for Geometrical Optics
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2644632New Computation Methods for Geometrical Opticshttps://www.gandhi.com.mx/new-computation-methods-for-geometrical-optics-9789814451796/phttps://gandhi.vtexassets.com/arquivos/ids/3547385/d1e07ab6-11f2-445f-aa89-1b80c7758bcc.jpg?v=63838553304407000017321925MXNSpringer Nature SingaporeInStock/Ebooks/<p>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.</p>...2580711New Computation Methods for Geometrical Optics17321925https://www.gandhi.com.mx/new-computation-methods-for-geometrical-optics-9789814451796/phttps://gandhi.vtexassets.com/arquivos/ids/3547385/d1e07ab6-11f2-445f-aa89-1b80c7758bcc.jpg?v=638385533044070000InStockMXN99999DIEbook20139789814451796_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_<p>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.</p>(*_*)9789814451796_<p>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.</p>...9789814451796_Springer Singapore(*_*)9789814451796_Springer Nature Singaporelibro_electonico_9bf3468c-ee45-3f52-9995-558748c2597a_9789814451796;9789814451796_9789814451796Psang DainInglésMéxicoSpringer Nature Singapore2013-10-01T00:00:00+00:00