Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 12, pp. 2073-2085
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A three-dimensional inverse scattering problem for the acoustic wave equation is studied. The task is to determine the density and acoustic impedance of a medium. A necessary and sufficient condition for the unique solvability of this problem is established in the form of an energy conservation law. The interpretation of the solution to the inverse problem and the construction of medium images are discussed.
@article{ZVMMF_2016_56_12_a7,
author = {A. V. Baev},
title = {Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2073--2085},
publisher = {mathdoc},
volume = {56},
number = {12},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_12_a7/}
}
TY - JOUR AU - A. V. Baev TI - Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 2073 EP - 2085 VL - 56 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_12_a7/ LA - ru ID - ZVMMF_2016_56_12_a7 ER -
%0 Journal Article %A A. V. Baev %T Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 2073-2085 %V 56 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_12_a7/ %G ru %F ZVMMF_2016_56_12_a7
A. V. Baev. Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 12, pp. 2073-2085. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_12_a7/