Accession Number : AD0666670

Title :   A MODIFIED RESIDUE CALCULUS TECHNIQUE.

Descriptive Note : Interim rept.,

Corporate Author : ILLINOIS UNIV URBANA ANTENNA LAB

Personal Author(s) : Mittra,R. ; Lee,S. W. ; VanBlaricum,G. F. , Jr

Report Date : JAN 1968

Pagination or Media Count : 34

Abstract : A modified residue-calculus technique is presented for the solution of a class of infinite sets of equations which typically arise in the boundary value problems involving modifications of basic Wiener-Hopf geometries. The central step in this method is the construction of a meromorphic function f(w) satisfying both certain criteria determined by the form of the infinite set of equations and an auxiliary requirement imposed by the edge condition. The solution is constructed by integrating certain functions related to f(w) in the complex w-plane. The special features of the method are: (i) No matrix inversion is necessary. (ii) The iterative procedure used to find the zeros of f(w) has a built-in convergence check based on a priori knowledge of the asymptotic behavior of the fields. (iii) Satisfaction of the edge condition is guaranteed. This method makes possible very accurate solutions to problems for which only solutions based on variational, quasi-static, or numerical means are available at the present time. A typical example of a waveguide discontinuity is included to illustrate the use of the method. (Author)

Descriptors :   (*ELECTROMAGNETIC FIELDS, BOUNDARY VALUE PROBLEMS), MEROMORPHIC FUNCTIONS, INTEGRAL EQUATIONS, COMPLEX VARIABLES, ITERATIONS, ELECTROMAGNETIC WAVE REFLECTIONS, DIELECTRIC PROPERTIES, WAVEGUIDES, PROPAGATION

Subject Categories : Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE