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

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

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

Access to Document

10.1070/SM2015v206n01ABEH004449

Cite this

@article{1da69ac7658946ecb9f06df8c26b22bc,

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",

month = jan,

day = "1",

doi = "10.1070/SM2015v206n01ABEH004449",

language = "English",

volume = "206",

pages = "120--134",

journal = "Sbornik Mathematics",

issn = "1064-5616",

number = "1",

}

TY - JOUR

T1 - An iterative approach to non-overdetermined inverse scattering at fixed energy

AU - Novikov, R. G.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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 → +∞.

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

UR - https://www.scopus.com/pages/publications/84925238403

U2 - 10.1070/SM2015v206n01ABEH004449

DO - 10.1070/SM2015v206n01ABEH004449

M3 - Article

AN - SCOPUS:84925238403

SN - 1064-5616

VL - 206

SP - 120

EP - 134

JO - Sbornik Mathematics

JF - Sbornik Mathematics

IS - 1

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this