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Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection

Luke, D. Russell (2003) Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection. [Preprint]

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    Abstract

    This work is a study of strategies for obstacle reconstruction from multifrequency far field scattering data. We outline two strategies for obstacle reconstruction from multifrequency far field scattering data: the point source method proposed by Potthast for solving inverse scattering problems with single frequency data in the resonance region, and filtered backprojection techniques based on the physical optics approximation for high frequency scattering. Our implementation of the point source method can be viewed as a generalized filtered backprojection algorithm, the key to which is the construction of the filter used in the backprojection operator. Numerical examples indicate that the critical factor for reconstructions in multifrequency settings is the frequency dependence of the filter.

    Item Type: Preprint
    Additional Information: pubdom FALSE
    Uncontrolled Keywords: inverse problems, scattering theory, image processing
    Subjects: 78-xx Optics, electromagnetic theory > 78Axx General
    35-xx Partial differential equations
    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/42

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