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The no response test - a sampling method for inverse scattering problems

Luke, D. Russell and Potthast, Roland (2003) The no response test - a sampling method for inverse scattering problems. [Preprint]

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    Abstract

    We describe a novel technique, which we call the no response test, to locate the support of a scatterer from knowledge of a far-field pattern of a scattered acoustic wave. The method uses a set of sampling surfaces and a special test response to detect the support of a scatterer without a priori knowledge of the physical properties of the scatterer. Specifically, the method does not depend on information about whether the scatterer is penetrable or impenetrable nor does it depend on any knowledge of the nature of the scatterer (absorbing, reflecting, etc). In contrast to previous sampling algorithms, the techniques described here enable one to locate obstacles or inhomogeneities from the far field pattern of only one incident field -- the no response test is a one-wave-method. We investigate the theoretical basis for the no response test and derive a one-wave uniqueness proof for a region containing the scatterer. We show how to find the object within this region. We demonstrate the applicability of the method by reconstructing sound-soft, sound-hard, impedance and inhomogeneous medium scatterers in two dimensions from one wave with full and limited aperture far-field data.

    Item Type: Preprint
    Additional Information: pubdom FALSE
    Uncontrolled Keywords: inverse problems, scattering theory, image processing
    Subjects: 68-xx Computer science > 68Uxx Computing methodologies and applications
    94-xx Information and communication, circuits > 94Axx Communication, information
    35-xx Partial differential equations > 35Rxx Miscellaneous topics involving partial differential equations
    35-xx Partial differential equations > 35Pxx Spectral theory and eigenvalue problems for partial differential operators
    Faculty: UNSPECIFIED
    Depositing User: Users 1 not found.
    Date Deposited: 27 Oct 2003
    Last Modified: 21 Apr 2010 11:13
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/40

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