Numerical method for calculating electromagnetic fields at geometrical singularities
Abstract
The task of solving the boundary value problem for a cone with elliptical cross section is reduced to the solution of a twoparameter eigenvalue problem of two coupled Lame differential equations. The degree of singularity of the electromagnetic field is determined by the lowestorder eigenvalue pair. A numerical method for solving the eigenvalue problem is given. The method is based on an integration of the Lame differential equations, using a priori knowledge about parity, periodicity and number of zeros per interval of periodicity of Lame's functions. The numerical results include the calculation of the diffraction field of a 90deg slot in a plane screen.
 Publication:

Kleinheubacher Berichte
 Pub Date:
 1978
 Bibcode:
 1978KlBer..21..103B
 Keywords:

 Cones;
 Electromagnetic Fields;
 Numerical Integration;
 Singularity (Mathematics);
 Wave Diffraction;
 Boundary Value Problems;
 Differential Equations;
 Edges;
 Eigenvalues;
 Lame Functions;
 Communications and Radar