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 finite-dimensional matrix equation. A theory is presented that demonstrates the relation between the eigenvalue spectrum of the original, continuous operator and the eigenvalues of the method-of-moments 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 finite-difference 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