Abstract

A computational scheme based on differential geometry was proposed in a previous study [Appl. Opt. 52, 4151 (2013)] for determining the first- and second-order derivative matrices of a skew ray reflected/refracted at a flat boundary surface. The present study extends this methodology to the case of a skew ray reflected/refracted at a spherical boundary surface. The validity of the proposed approach is demonstrated using two retro-reflectors for illustration purposes. The results show that the proposed method provides an effective means of determining the search direction required to minimize the merit function during the optimization stage of the optical system design process.

© 2013 Optical Society of America

Analysis and design of prisms using the derivatives of a ray. Part I: derivatives of a ray with respect to boundary variable vector

Psang Dain Lin
Appl. Opt. 52(18) 4137-4150 (2013)

Derivative matrices of a skew ray for spherical boundary surfaces and their applications in system analysis and design

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Analysis and design of prisms using the derivatives of a ray. Part II: the derivatives of boundary variable vector with respect to system variable vector

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