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The numerical solution of an inverse periodic transmission problem

✍ Scribed by Gottfried Bruckner; Johannes Elschner

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
191 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider the inverse problem of recovering a 2D periodic structure from scattered waves measured above and below the structure. We discuss convergence and implementation of an optimization method for solving the inverse TE transmission problem, following an approach first developed by Kirsch and Kress for acoustic obstacle scattering. The convergence analysis includes the case of Lipschitz grating profiles and relies on variational methods and solvability properties of periodic boundary integral equations. Numerical results for exact and noisy data demonstrate the practicability of the inversion algorithm. Copyright Β© 2004 John Wiley & Sons, Ltd.

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