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Optimal design of periodic antireflective structures for the Helmholtz equation

Published online by Cambridge University Press:  26 September 2008

David C. Dobson
David C. Dobson
Affiliation:
Institute for Mathematics and its Applications, University of Minnesota, 514 Vincent Hall, Minneapolis, MN 55455-0436, USA
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Abstract

We study the problem of designing a periodic interface between two homogeneous materials with different impedance properties, in such a way that time-harmonic waves incident on the interface over a given range of angles have minimal total reflected energy. It is shown that the problem can be ‘relaxed’ to include continuously varying profiles. A simple gradient descent minimization scheme is proposed and examples from several numerical calculations are given.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 4 , Issue 4 , December 1993 , pp. 321 - 339
Copyright
Copyright © Cambridge University Press 1993

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