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Computational Techniques and Applications Conference and Workshops - CTAC99
September 20-24, 1999
The Australian National University
Canberra, ACT, Australia

Organizers
Mike Osborne, Bob Gingold, Steve Roberts, David Harrar II, Thanh Tran, Bob Anderssen, Henry Gardner, Markus Hegland, Lutz Grosz

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Numerical Analysis of Diffraction Problems in Micro-Optics
by
Johannes Elschner
Weierstrass Institute for Applied Analysis and Stochastics, Berlin
Coauthors: R. Hinder, G. Schmidt

Numerical Analysis of Diffraction Problems in Micro-Optics

Johannes Elschner
Weierstrass-Institute for Applied Analysis and Stochastics, Berlin

The talk presents numerical methods for modeling and designing periodic diffractive optical structures (gratings). The method for solving the direct diffraction problem is based on a generalized finite element discretization of strongly elliptic variational formulations of quasi periodic transmission problems for the Helmholtz equation in a bounded domain coupled with boundary integral representations in the exterior. Special attention is paid to the fast and reliable computation of the reflected and transmitted efficiencies for binary gratings.

We further focus on minimization algorithms for optimal design problems based on gradient descent and analytic formulas for the gradients of cost functionals with respect to the parameters of the grating profile. Some applications to polarisation gratings and beam splitters demonstrating the performance of the method are discussed.

Date received: July 22, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadk-38.