Scattering from infinite rough tubular surfaces

Xavier Claeys; Houssem Haddar

doi:10.1002/mma.787

Scattering from infinite rough tubular surfaces

INRIA Rocquencourt

Research output: Contribution to journal › Article › peer-review

Abstract

We study the Helmholtz equation in the exterior of an infinite perturbed cylinder with a Dirichlet boundary condition. Existence and uniqueness of solutions are established using the variational technique introduced (SIAM J. Math. Anal. 2005; 37(2):598-618). We also provide stability estimates with explicit dependence of the constants in terms of the frequency and the perturbed cylinder thickness.

Original language	English
Pages (from-to)	389-414
Number of pages	26
Journal	Mathematical Methods in the Applied Sciences
Volume	30
Issue number	4
DOIs	https://doi.org/10.1002/mma.787
Publication status	Published - 10 Mar 2007
Externally published	Yes

Keywords

Helmholtz equation
Radiation condition for perturbed cylinders
Rough surface scattering
Wires

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10.1002/mma.787

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title = "Scattering from infinite rough tubular surfaces",

abstract = "We study the Helmholtz equation in the exterior of an infinite perturbed cylinder with a Dirichlet boundary condition. Existence and uniqueness of solutions are established using the variational technique introduced (SIAM J. Math. Anal. 2005; 37(2):598-618). We also provide stability estimates with explicit dependence of the constants in terms of the frequency and the perturbed cylinder thickness.",

keywords = "Helmholtz equation, Radiation condition for perturbed cylinders, Rough surface scattering, Wires",

author = "Xavier Claeys and Houssem Haddar",

year = "2007",

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doi = "10.1002/mma.787",

language = "English",

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T1 - Scattering from infinite rough tubular surfaces

AU - Claeys, Xavier

AU - Haddar, Houssem

PY - 2007/3/10

Y1 - 2007/3/10

N2 - We study the Helmholtz equation in the exterior of an infinite perturbed cylinder with a Dirichlet boundary condition. Existence and uniqueness of solutions are established using the variational technique introduced (SIAM J. Math. Anal. 2005; 37(2):598-618). We also provide stability estimates with explicit dependence of the constants in terms of the frequency and the perturbed cylinder thickness.

AB - We study the Helmholtz equation in the exterior of an infinite perturbed cylinder with a Dirichlet boundary condition. Existence and uniqueness of solutions are established using the variational technique introduced (SIAM J. Math. Anal. 2005; 37(2):598-618). We also provide stability estimates with explicit dependence of the constants in terms of the frequency and the perturbed cylinder thickness.

KW - Helmholtz equation

KW - Radiation condition for perturbed cylinders

KW - Rough surface scattering

KW - Wires

UR - https://www.scopus.com/pages/publications/33847043893

U2 - 10.1002/mma.787

DO - 10.1002/mma.787

M3 - Article

AN - SCOPUS:33847043893

SN - 0170-4214

VL - 30

SP - 389

EP - 414

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 4

ER -

Scattering from infinite rough tubular surfaces

Abstract

Keywords

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