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A multiscattering series for impedance tomography in layered media

Borcea, Liliana and Ortiz, Michael (1999) A multiscattering series for impedance tomography in layered media. Inverse Problems, 15 (2). pp. 515-540. ISSN 0266-5611. doi:10.1088/0266-5611/15/2/011.

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We introduce an inversion algorithm for tomographic images of layered media. The algorithm is based on a multiscattering series expansion of the Green function that, unlike the Born series, converges unconditionally. Our inversion algorithm obtains images of the medium that improves iteratively as we use more and more terms in the multiscattering series. We present the derivation of the multiscattering series, formulate the inversion algorithm and demonstrate its performance through numerical experiments.

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Ortiz, Michael0000-0001-5877-4824
Additional Information:© Institute of Physics 1999. Received 19 May 1998, Print publication: Issue 2 (April 1999) We thank Professor W Symes for several useful discussions and for informing us on the layer stripping work for the Helmoltz equation. We also thank Dr J Berryman for very useful information on the issue of data measurement precision and Professor J B Keller for pointing us to [22, 7, 8]. The work of L Borcea was partially supported by the National Science Foundation under grant number DMS-9627407.
Issue or Number:2
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ID Code:1723
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Deposited On:13 Feb 2006
Last Modified:12 Jul 2022 19:40

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