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On an Integral Equation of the first Kind in Inverse Acoustic Scattering

Andreas Kirsch, Rainer Kreß

Open publisher page 56 citations

Abstract

The inverse problem under consideration is to determine the shape of a scatterer from the far-field pattern of the scattered wave for an incident time-harmonic plane wave. A new method for approximately solving this problem is presented. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

About this research paper

What this paper is about

The inverse problem under consideration is to determine the shape of a scatterer from the far-field pattern of the scattered wave for an incident time-harmonic plane wave. A new method for approximately solving this problem is presented. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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OpenAlex reports 56 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The inverse problem under consideration is to determine the shape of a scatterer from the far-field pattern of the scattered wave for an incident time-harmonic plane wave. A new method for approximately solving this problem is presented. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Inverse scattering problem, Plane wave, Inverse, Inverse problem, Scattering, Plane (geometry), Mathematical analysis, Inverse scattering transform

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