ASA 127th Meeting M.I.T. 1994 June 6-10

5aUW15. Development and application of the spheroidal coordinate-based T matrix to elastic wave scattering.

Roger H. Hackman

Lockheed Palo Alto Res. Labs., Palo Alto, CA 94304-1191

Raymond Lim

Naval Coastal Systems Sta., Panama City, FL 32407-5000

A spheroidal coordinate-based T-matrix formalism is developed for the description of elastic wave scattering from a collection of obstacles embedded in a homogeneous, unbounded medium. The development of the spheroidal formalism for the scattering from a single obstacle is based on the earlier work of Hackman [J. Acoust. Soc. Am. 75, 35--45 (1984)]; a discussion of the extension of this approach to a many-inclusion system is a generalization of Lim and Hackman [J. Acoust. Soc. Am. 91, 613--638 (1992)]. Calculations are presented for the elastic wave scattering from (single) prolate spheroidal and finite cylindrical objects and from both finite and infinite collections of spherical obstacles. The single inclusion calculations presented have bearing on a study of anechoic mechanisms in composite materials presented earlier [Lim and Hackman, J. Acoust. Soc. Am. 87, 1076--1103 (1990)].