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    A two-stage method for inverse medium scattering

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    Type
    Article
    Authors
    Ito, Kazufumi
    Jin, Bangti
    Zou, Jun
    KAUST Grant Number
    KUS-C1-016-04
    Date
    2013-03
    Permanent link to this record
    http://hdl.handle.net/10754/597430
    
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    Abstract
    We present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from noisy near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer support, and one resolution enhancing step with nonsmooth mixed regularization. The first step is strictly direct and of sampling type, and it faithfully detects the scatterer support. The second step is an innovative application of nonsmooth mixed regularization, and it accurately resolves the scatterer size as well as intensities. The nonsmooth model can be efficiently solved by a semi-smooth Newton-type method. Numerical results for two- and three-dimensional examples indicate that the new approach is accurate, computationally efficient, and robust with respect to data noise. © 2012 Elsevier Inc.
    Citation
    Ito K, Jin B, Zou J (2013) A two-stage method for inverse medium scattering. Journal of Computational Physics 237: 211–223. Available: http://dx.doi.org/10.1016/j.jcp.2012.12.004.
    Sponsors
    We are grateful to two anonymous referees for their thoughtful comments, which have improved the quality of the paper. The work of BJ is supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and that of JZ is substantially supported by Hong Kong RGC grants (projects 405110 and 404611).
    Publisher
    Elsevier BV
    Journal
    Journal of Computational Physics
    DOI
    10.1016/j.jcp.2012.12.004
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jcp.2012.12.004
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