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Conical diffraction by periodic structures: Variation of interfaces and gradient formulas

✍ Scribed by J. Elschner; G. Schmidt

Book ID
102490949
Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
245 KB
Volume
252
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

This paper studies the dependence of solutions to conical diffraction problems upon geometric parameters of non–smooth profiles and interfaces between different materials of diffractive gratings. This problem arises in the design of those optical devices to diffract time–harmonic oblique incident plane waves to a specified far–field pattern. We prove the stability of solutions and give analytic formulas for the derivatives of reflection and transmission coefficients with respect to Lipschitz perturbations of interfaces. These derivatives are expressible as contour integrals involving the direct and adjoint solutions of conical diffraction problems.

πŸ“œ SIMILAR VOLUMES

Diffraction in periodic structures and o
Diffraction in periodic structures and optimal design of binary gratings. Part I: direct problems and gradient formulas
✍ J. Elschner; G. Schmidt πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 336 KB πŸ‘ 1 views

The aim of the paper is to provide the mathematical foundation of effective numerical algorithms for the optimal design of periodic binary gratings. Special attention is paid to reliable methods for the computation of diffraction efficiencies and of the gradients of certain functionals with respect