TY  - EJOU
AU  - Na, S.-W.  
AU  - Kallivokas, L.F.  

TI  - Continuation Schemes for Shape Detection in Inverse Acoustic Scattering Problems
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2008
VL  - 35
IS  - 1
SN  - 1526-1506

AB  - We discuss simple numerical schemes, termed continuation schemes, for detecting the location and shape of a scatterer embedded in a host acoustic medium, when considering scant measurements of the scattered acoustic pressure in the vicinity (near- or far-field) of the obstacle. The detection is based on incomplete information, i.e., the measurement stations are distributed in the backscatter region and do not circumscribe the sought scatterer. We consider sound-hard scatterers, and use boundary integral equations for the underlying numerical scheme. We favor amplitude-based misfit functionals, and use frequency- and directionality-continuation schemes to resolve the scatterer's location and shape. We report on numerical experiments that attest to the promise of the schemes.
KW  - Inverse scattering
KW  -  shape detection
KW  -  boundary elements
KW  -  continuation schemes

DO  - 10.3970/cmes.2008.035.073