High Frequency Asymptotics and the Transition Matrix Formulation of Scattering,
CAMBRIDGE ACOUSTICAL ASSOCIATES INC MA
Pagination or Media Count:
This report deals with the use of high frequency asymptotics to evaluate and possibly facilitate, the convergence of the transition matrix formulation of scattering. For illustrative purposes, elastic and acoustic scattering from spherical and spheroidal cavities is considered in some detail. References are presented for other types of inclusions. Finally, a general method is suggested for integrating high frequency asymptotic solutions into the T-matrix formulation itself with the purpose of improving convergence. The method is implemented for the case of a spherical, and a prolate spheroidal, cavity.