Reconstruction of Scattering Amplitudes From Differential Cross-Section
A. Martin (1974)
Recherche Coopérative sur Programme n°25
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A. Martin (1974)
Recherche Coopérative sur Programme n°25
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Eric Luneville, Jean-Francois Mercier (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We study the time-harmonic acoustic scattering in a duct in presence of a flow and of a discontinuous impedance boundary condition. Unlike a continuous impedance, a discontinuous one leads to still open modeling questions, as in particular the singularity of the solution at the abrupt transition and the choice of the right unknown to formulate the scattering problem. To address these questions we propose a mathematical approach based on variational formulations set in weighted Sobolev...
Nathalie Bartoli, Francis Collino (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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A new system of integral equations for the exterior 2D time harmonic scattering problem is investigated. This system was first proposed by B. Després in [11]. Two new derivations of this system are given: one from elementary manipulations of classical equations, the other based on a minimization of a quadratic functional. Numerical issues are addressed to investigate the potential of the method.
Georgi Vodev (1992)
Journées équations aux dérivées partielles
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Günter Stolz, Thomas Poerschke (1993)
Mathematische Zeitschrift
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V. Chiadò Piat, M. Codegone (2003)
RACSAM
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In this paper, we consider a family of scattering problems in perforated unbounded domains Ω. We assume that the perforation is contained in a bounded region and that the holes have a ?critical? size. We study the asymptotic behaviour of the outgoing solutions of the steady-state scattering problem and we prove that an extra term appears in the limit equation. Finally, we obtain convergence results for scattering frequencies and solutions.
Pl. Muthuramalingam (1984/85)
Mathematische Zeitschrift
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Alessia Berti (2007)
Bollettino dell'Unione Matematica Italiana
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The reflection-transmission problem of time-harmonic waves in a viscoelastic, anisotropic and stratified solid is examined. The medium is supposed to occupy the whole space. The waves are sent either from upwards or downwards with oblique incidence. The scattering matrix is defined by generalizing the procedure followed in the scalar case, namely, when the solid is isotropic and the wave incidence is normal. Existence, uniqueness and properties of the scattering matrix are discussed. ...
Plamen D. Stefanov (1991)
Mathematische Zeitschrift
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Anikonov, D.S., Konovalova, D.S. (2005)
Sibirskij Matematicheskij Zhurnal
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Maciej Zworski (1996-1997)
Séminaire Équations aux dérivées partielles
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Anders Melin (1987)
Journées équations aux dérivées partielles
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Roland Griesmaier (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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In several practically interesting applications of electromagnetic scattering theory like, , scattering from small point-like objects such as buried artifacts or small inclusions in non-destructive testing, scattering from thin curve-like objects such as wires or tubes, or scattering from thin sheet-like objects such as cracks, the volume of the scatterers is small relative to the volume of the surrounding medium and with respect to the wave length of the applied electromagnetic fields. This...