Accession Number : AD0264556

Title :   A STUDY OF THE NON-UNIFORM CONVERGENCE OF THE INVERSE OF A DOUBLY-INFINITE MATRIX ASSOCIATED WITH A BOUNDARY VALUE PROBLEM IN A WAVEGUIDE

Corporate Author : ILLINOIS UNIV URBANA ELECTRICAL ENGINEERING RESEARCH LAB

Personal Author(s) : MITTRA,R.

Report Date : DEC 1961

Pagination or Media Count : 1

Abstract : A doubly infinite set of equations is presented f r application to the bifurcation problem in a waveguide. These equations have been obtained by H URD AND Gruenberg thr gh the use of the calculus of residues. This set of equations is particularly suited to demonstrate by inverting several finite size matrices that there results a conditional convergence when P approaches infinite and Q approaches infinity. A theoretical basis for choosing the correct P/Q, when working with a truncated set is postulated.

Descriptors :   *WAVE PROPAGATION, *WAVEGUIDES, ELECTROMAGNETISM, EQUATIONS, MATRICES(MATHEMATICS), THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE