nSeries problems and the coupling of electromagnetic waves to apertures  A RiemannHilbert approach
Abstract
An effective approach to the solution of a large class of mixed boundary value problems (those reducible to an nseries problem) is developed. The method is based on the deduction of the equivalent RiemannHilbert problem and its solution. This generalized nseries approach leads to analytical descriptions of the coupling of electromagnetic waves through apertures in canonical structures into open or enclosed regions. In particular, it is applied to the canonical problem of plane wave coupling to an infinite circular cylinder with multiple infinite axial slots. Numerical results for currents induced by an Hpolarized plane wave on a circular cylinder with a single slit are given.
 Publication:

SIAM Journal of Mathematical Analysis
 Pub Date:
 March 1985
 Bibcode:
 1985SJMA...16..358Z
 Keywords:

 Antenna Radiation Patterns;
 Apertures;
 Boundary Value Problems;
 Cauchy Problem;
 Coupled Modes;
 Electromagnetic Coupling;
 Electromagnetic Radiation;
 Canonical Forms;
 Circular Cylinders;
 Current Distribution;
 Cylindrical Antennas;
 H Waves;
 Hilbert Space;
 Plane Waves;
 Slits;
 Communications and Radar