An iterative approach to non-overdetermined inverse scattering at fixed energy

R. G. Novikov

doi:10.1070/SM2015v206n01ABEH004449

An iterative approach to non-overdetermined inverse scattering at fixed energy

R. G. Novikov

IEPT RAS
Moscow Institute of Physics and Technology

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

We present an iterative approximate reconstruction algorithm for non-overdetermined inverse scattering at fixed energy E with incomplete data, where the dimension d ≥ 2. In particular, we obtain rapidly converging approximate reconstructions for this inverse scattering for E → +∞.

Original language	English
Pages (from-to)	120-134
Number of pages	15
Journal	Sbornik Mathematics
Volume	206
Issue number	1
DOIs	https://doi.org/10.1070/SM2015v206n01ABEH004449
Publication status	Published - 1 Jan 2015

Keywords

Inverse scattering problem
Iterative approximate reconstruction
Non-overdetermined monochromatic data
Rapid high energy convergence

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10.1070/SM2015v206n01ABEH004449

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title = "An iterative approach to non-overdetermined inverse scattering at fixed energy",

abstract = "We present an iterative approximate reconstruction algorithm for non-overdetermined inverse scattering at fixed energy E with incomplete data, where the dimension d ≥ 2. In particular, we obtain rapidly converging approximate reconstructions for this inverse scattering for E → +∞.",

keywords = "Inverse scattering problem, Iterative approximate reconstruction, Non-overdetermined monochromatic data, Rapid high energy convergence",

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note = "Publisher Copyright: {\textcopyright} 2015 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.",

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AB - We present an iterative approximate reconstruction algorithm for non-overdetermined inverse scattering at fixed energy E with incomplete data, where the dimension d ≥ 2. In particular, we obtain rapidly converging approximate reconstructions for this inverse scattering for E → +∞.

KW - Inverse scattering problem

KW - Iterative approximate reconstruction

KW - Non-overdetermined monochromatic data

KW - Rapid high energy convergence

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DO - 10.1070/SM2015v206n01ABEH004449

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JO - Sbornik Mathematics

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An iterative approach to non-overdetermined inverse scattering at fixed energy

Abstract

Keywords

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