Accession Number : AD0718401

Title :   The Singularities of the Green's Matrix in Anisotropic Wave Motion.

Descriptive Note : Technical summary rept.,

Corporate Author : DENVER RESEARCH INST COLO DIV OF MATHEMATICAL SCIENCES

Personal Author(s) : Schulenberger,John R. ; Wilcox,Calvin H.

Report Date : DEC 1970

Pagination or Media Count : 56

Abstract : The paper deals with steady - state wave propagation in homogeneous anisotropic media. The Green's matrix for such a medium describes the field produced by a point source. Mathematically, it is a distribution which is a fundamental solution of the field equations of the medium. The paper is a sequel to a paper by G. S. S. Avila and C. H. Wilcox. In that paper the singularities of the Green's matrix were studied for a large class of homogeneous anisotropic media. It was shown that for these media the singular support of the Green's matrix is the source point and the functional behavior of the Green's matrix near this point was determined. The purpose of this paper is to broaden and deepen the results of the paper by Avila and Wilcox by, first, extending the results to the largest class of media for which they are valid and, second, determining the distributional behavior of the Green's matrix at the source point. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, *WAVE FUNCTIONS), (*GREEN'S FUNCTION, MATRICES(MATHEMATICS)), OPERATORS(MATHEMATICS), WAVE PROPAGATION, NUMERICAL INTEGRATION, INTEGRAL TRANSFORMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE