A near-field inverse scattering problem for an elastic ellipsoid

The scattering problem of time-harmonic elastic waves from a triaxial rigid ellipsoidal obstacle is considered. The direct scattering problem is formulated. A method using near-field data for solving the corresponding inverse scattering problem in order to specify the size and the orientation of the...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational and applied mathematics 2020-08, Vol.373, p.112529, Article 112529
Main Authors: Athanasiadou, E.S., Zoi, S.
Format: Article
Language:English
Subjects:
Elastic ellipsoidal scatterer
Inverse scattering problem
Near-field data
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The scattering problem of time-harmonic elastic waves from a triaxial rigid ellipsoidal obstacle is considered. The direct scattering problem is formulated. A method using near-field data for solving the corresponding inverse scattering problem in order to specify the size and the orientation of the ellipsoid is described. A matrix with elements given in terms of measurements of the leading low-frequency coefficient of the scattered field is constructed. The eigenvalues of this measurement matrix provide information for the semi-axes of the ellipsoid whereas the eigenvectors together with a rotation matrix whose elements are given in terms of the Euler angles are used to specify the orientation of the ellipsoid. Corresponding results for geometrically degenerate cases of the ellipsoid such as spheroids, spheres, needles and disks are obtained for appropriate values of the geometrical parameters.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2019.112529