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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

27 Citations (Scopus)

Résumé

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 → +∞.

langue originale	Anglais
Pages (de - à)	120-134
Nombre de pages	15
journal	Sbornik Mathematics
Volume	206
Numéro de publication	1
Les DOIs	https://doi.org/10.1070/SM2015v206n01ABEH004449
état	Publié - 1 janv. 2015

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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",

author = "Novikov, \{R. G.\}",

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

year = "2015",

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doi = "10.1070/SM2015v206n01ABEH004449",

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

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