
Accession Number : ADA185434
Title : Eigenvalue Projection Theory for Linear Operator Equations of Electromagnetics.
Descriptive Note : Technical rept.,
Corporate Author : ILLINOIS UNIV AT URBANA COORDINATED SCIENCE LAB
Personal Author(s) : Peterson, A F
PDF Url : ADA185434
Report Date : Sep 1987
Pagination or Media Count : 54
Abstract : Equations representing realistic electromagnetics problems seldom yield exact solutions, and thus are usually treated numerically. In general, a discretization procedure such as the method of moments (also known as the weighted residual method) is used to convert the original continuous equation to a finitedimensional matrix equation. A theory is presented that demonstrates the relation between the eigenvalue spectrum of the original, continuous operator and the eigenvalues of the methodofmoments matrix. In addition, an equivalence between the finite difference method and the method of moments is developed that permits the theory to be applied to finitedifference equations. Examples involving differential and integral equations are used to confirm the theory and to illustrate the typical eigenvalue spectrum arising in electromagnetic field problems.
Descriptors : *ELECTROMAGNETIC SCATTERING, SOLUTIONS(GENERAL), NUMERICAL METHODS AND PROCEDURES, ITERATIONS, METHOD OF MOMENTS, MATRICES(MATHEMATICS), COMPARISON, FINITE DIFFERENCE THEORY, LINEAR ALGEBRA, OPERATORS(MATHEMATICS), EIGENVALUES
Subject Categories : Electricity and Magnetism
Distribution Statement : APPROVED FOR PUBLIC RELEASE