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A Uniqueness Result for Scattering by Infinite Rough Surfaces

✍ Scribed by Zhang, Bo; Chandler-Wilde, Simon N.

Book ID
118193447
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
366 KB
Volume
58
Category
Article
ISSN
0036-1399

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📜 SIMILAR VOLUMES

Integral equation methods for scattering
Integral equation methods for scattering by infinite rough surfaces
✍ Bo Zhang; Simon N. Chandler-Wilde 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 210 KB

## Abstract In this paper, we consider the Dirichlet and impedance boundary value problems for the Helmholtz equation in a non‐locally perturbed half‐plane. These boundary value problems arise in a study of time‐harmonic acoustic scattering of an incident field by a sound‐soft, infinite rough surfa

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A plane acoustic wave insonifies an infinite rough surface. The reflected field is written as an angular-spectrum representation (plane-wave expansion), with an unknown amplitude function A. It is pointed out that A must be considered as a generalized function, and not as a continuous function. Vari

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## Abstract We consider the whole‐line inverse scattering problem for Sturm‐Liouville equations which have constant coefficients on a half‐line. Since in this case the reflection coefficient determines a Weyl‐Titchmarsh __m__‐function, it determines the coefficients up to some simple Liouville tran