Topological sensitivity for solving inverse multiple scattering problems in three-dimensional electromagnetism. Part I: One step method

Rapun Banzo, Maria Luisa and Le Louer, Frederique (2017). Topological sensitivity for solving inverse multiple scattering problems in three-dimensional electromagnetism. Part I: One step method. "Siam Journal on Imaging Science", v. 10 (n. 3); pp. 1291-1321. ISSN 1936-4954. https://doi.org/10.1137/17M1113850.

Description

Title: Topological sensitivity for solving inverse multiple scattering problems in three-dimensional electromagnetism. Part I: One step method
Author/s:
  • Rapun Banzo, Maria Luisa
  • Le Louer, Frederique
Item Type: Article
Título de Revista/Publicación: Siam Journal on Imaging Science
Date: 2017
ISSN: 1936-4954
Volume: 10
Subjects:
Freetext Keywords: Electromagnetism; topological derivative; inverse obstacle scattering problems; shape reconstruction
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper we compute closed-form expressions for the topological derivative for three-dimensional time-harmonic electromagnetic waves for perfect conductors (Dirichlet condition), electromagnetic cavities (Neumann condition), absorbing obstacles (impedance condition), and dielectric inclusions (transmission conditions). The proofs are based on the computation of shape derivatives followed by asymptotic expansions using Mie series when infinitesimal spheres are considered. An exhaustive gallery of numerical experiments is presented, which demonstrate that the topological derivative is a very powerful tool for the detection of multiple electromagnetic scatterers without a priori information about their number, size, shape, or location. Numerical examples include highly demanding configurations where only a few incident directions and a few observation points (for near-field data) or a few far-field observation directions (for far-field data) are considered.

More information

Item ID: 50240
DC Identifier: http://oa.upm.es/50240/
OAI Identifier: oai:oa.upm.es:50240
DOI: 10.1137/17M1113850
Official URL: https://epubs.siam.org/doi/10.1137/17M1113850
Deposited by: Memoria Investigacion
Deposited on: 16 Nov 2018 10:35
Last Modified: 16 Nov 2018 10:35
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