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Wave diffraction by a strip grating: the two-straight line approach

✍ Scribed by M. A. Bastos; A. Moura Santos; A. F. dos Santos

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
251 KB
Volume
269-270
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Boundary‐value problems of wave diffraction by a periodic strip grating are associated with a Toeplitz operator acting on a space of functions defined on a two‐straight line contour. Simple formulas are given for the left inverse of the operator associated with the Neumann boundary‐value problem and for the right inverse of the operator associated with the Dirichlet boundary‐value problem when the period of the grating is equal to double the width of the strips. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Wave diffraction by a strip with first and second kind boundary conditions: the real wave number case
✍ L. P. Castro; D. Kapanadze 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB

## Abstract We prove unique existence of solution for a class of plane wave diffraction problems by a strip with first and second kind boundary conditions. This is done in a Bessel potential spaces framework, and for a real (noncomplex) wave number. At the end, results about the regularity (and dat