Iv. Andronov et Bp. Belinskiy, SOMMERFELDS FORMULA AND UNIQUENESS FOR THE BOUNDARY-VALUE CONTACT PROBLEMS, Journal of physics. A, mathematical and general, 31(22), 1998, pp. 405-411
The expression of the acoustic field scattered on an infinite elastic
plate with an arbitrary compact inhomogeneity in terms of the analytic
continuation of its scattering diagram is found. This formula allows
the uniqueness of the solution for the scattering problem to be proved
. The connection of the formula with the Rayleigh hypothesis is discus
sed.