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Development and application of the spheroidal coordinate based T matrix solution to elastic wave scattering
Author(s) -
Hackman Roger H.,
Lim Raymond
Publication year - 1994
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/94rs00973
Subject(s) - scattering , formalism (music) , coordinate system , scattering theory , classical mechanics , anechoic chamber , physics , mathematical analysis , geometry , mathematics , optics , acoustics , art , musical , visual arts
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 a refinement of the earlier work of Hackman (1984), a discussion of the extension of this approach to a many inclusion system is a generalization of Lim and Hackman (1992). Calculations are presented for the elastic wave scattering from (single) prolate spheroidal and finite cylindrical objects. The single inclusion calculations presented have bearing on a study of anechoic mechanisms in composite materials presented earlier (Lim and Hackman, 1990).