
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 residuecalculus 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 WienerHopf 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 wplane. 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 builtin 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, quasistatic, 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