A singular perturbation technique for the reconstruction of elastic objects

In this paper, we propose a new and efficient regularization technique (Singular Perturbation Technique-SPT) for the reconstruction of the shape of an elastic penetrable scatterer from far field measurements. The approach used is based on the linear sampling method and uses singular perturbations of...

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Bibliographic Details
Format: Conference Proceeding
Language:English
Subjects:
Elastic scattering
Perturbation methods
Reconstruction
Regularization
Singular perturbation
Online Access:Get full text
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Summary:In this paper, we propose a new and efficient regularization technique (Singular Perturbation Technique-SPT) for the reconstruction of the shape of an elastic penetrable scatterer from far field measurements. The approach used is based on the linear sampling method and uses singular perturbations of the identity along with Neumann series approximations to recover the shape of the unknown object. In comparison with the well established Tikhonov-Morozov regularization techniques our new algorithm appears to be more computationally efficient as it doesn’t require computation of the regularization parameter for each point in the grid.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4913100