New Computation Methods for Geometrical Optics (Springer Series in Optical Sciences Volume 178)

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Автор: PD Lin

Название: New Computation Methods for Geometrical Optics (Springer Series in Optical Sciences Volume 178)

Издательство: Springer

Год: 2014

Формат: pdf

Размер: 3.8Mb

Язык: Английский

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. In order to circumvent these limitations, this book employs

homogeneous coordinate notation to compute the first- and second-order deriva-

tive matrices of various optical quantities. It will be one of the important math-

ematical tools for automatic optical design.

Contents

1 Homogeneous Coordinate Notation

2 Skew-Ray Tracing at Boundary Surfaces

3 Modeling an Optical System

4 Paraxial Optics for Axis-Symmetrical Systems

5 The Jacobian Matrix of a Ray with Respect to System Variable Vector

6 Point Spread Function and Modulation Transfer Function

7 Optical Path Length and Its Jacobian Matrix with Respect to System Variable Vector

8 The Wavefront Shape, Irradiance, and Caustic Surface in an Optical System