Accession Number : AD0621013

Title :   SOME PROPERTIES OF OPERATORS IN ELECTROMAGNETIC THEORY,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Fu-nien,Ku

Report Date : 25 JUN 1965

Pagination or Media Count : 13

Abstract : Maxwell's equations in nonhomogeneous and anisotropic media are investigated in the light of the theory of linear operators. The operator associated with Maxwell's equations is defined in a bounded region and can be conceived as a representation of a resonant cavity in microwave techniques. Because ferrites, plasmas and other anisotropic media are becoming more and more important in practical applications, the cases where these resonant cavities are filled with such media are studied. It is proved in this paper that the operator is symmetric for certain tensor permeability and permitivity and under certain boundary conditions. These symmetric and self-adjoint properties greatly simplify eigenfunction expansions. The orthogonal properties and the reciprocity theorem of the eigenoscillations are deduced. In the case of an antisymmetric operator, an adjoint resonant cavity is introduced. This adjoint resonant cavity is similar to the original resonant cavity in geometrical shape; the difference lies in the permeability and permitivity and the boundary conditions.

Descriptors :   (*ELECTROMAGNETISM, PARTIAL DIFFERENTIAL EQUATIONS), (*OPERATORS(MATHEMATICS), ELECTROMAGNETISM), TENSOR ANALYSIS, PERMEABILITY(MAGNETIC), CAVITY RESONATORS, FERRITES, PLASMA MEDIUM, BOUNDARY VALUE PROBLEMS, CHINA

Distribution Statement : APPROVED FOR PUBLIC RELEASE