Karp's theorem in elastodynamic inverse scattering

P A Martin, G Dassios
1993 Inverse Problems  
Time-harmonic elastic waves are incident upon a bounded cavity in three dimensions. The resulting scattered waves are characterized by their far-field patterns. We consider some simple questions concerning the determination of the shape of the cavity from information on the far-field patterns. We also prove two elastodynamic analogues of a theorem due to S.N. Karp (1962) , giving sufficient conditions on the far-field patterns for the obstacle to be spherical. The proofs are indirect and are
more » ... indirect and are based on symmetry arguments, as used for scalar problems by A.G. Ramm (1991) .
doi:10.1088/0266-5611/9/1/006 fatcat:ng754s5mrvh7dhnqajf2yem3hy