TY - JOUR
T1 - A direct inverse scattering method for imaging obstacles with unknown surface conditions
AU - Norris, Andrew N.
N1 - Funding Information: The author would like to thank Dr A. Kirsch for providing comments on the manuscript. This work was supported by the Of"ce of Naval Research.
PY - 1998/12
Y1 - 1998/12
N2 - A new technique is described for imaging obstacles using the acoustic far field response for plane wave incidence. The method requires no a priori information about the surface, nor does it depend upon prior knowledge of the surface boundary conditions. The algorithm is straightforward to implement and is illustrated by imaging multiple targets simultaneously for various surface boundary conditions: soft, hard, and impedance. The input data is the full acoustic scattering matrix at a single frequency, from which the eigenvalues and eigenfunctions of the far field operator are determined. Associated incident wave functions are then used to compute a spatial indicator function which takes on large values in the exterior of the target but is bounded inside the obstacle, or obstacles when there are multiple disconnected surfaces.
AB - A new technique is described for imaging obstacles using the acoustic far field response for plane wave incidence. The method requires no a priori information about the surface, nor does it depend upon prior knowledge of the surface boundary conditions. The algorithm is straightforward to implement and is illustrated by imaging multiple targets simultaneously for various surface boundary conditions: soft, hard, and impedance. The input data is the full acoustic scattering matrix at a single frequency, from which the eigenvalues and eigenfunctions of the far field operator are determined. Associated incident wave functions are then used to compute a spatial indicator function which takes on large values in the exterior of the target but is bounded inside the obstacle, or obstacles when there are multiple disconnected surfaces.
UR - http://www.scopus.com/inward/record.url?scp=0032324970&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0032324970&partnerID=8YFLogxK
U2 - https://doi.org/10.1093/imamat/61.3.267
DO - https://doi.org/10.1093/imamat/61.3.267
M3 - Article
SN - 0272-4960
VL - 61
SP - 267
EP - 290
JO - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
IS - 3
ER -