Diffraction of a plane wave by a sphere with a circular hole
Abstract
Development of a method which makes it possible to obtain a mathematically rigorous solution to the problem of diffraction of an electromagnetic wave by an ideally conducting hollow sphere with a circular hole. The method employed is based on a reduction of the system of functional equations of the problem to a system of Abel integral equations, the solution of which makes it possible to obtain simpler functional equations and to reduce them to a single infinite system of linear algebraic equations of the second kind.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 October 1974
 Bibcode:
 1974ZVMMF..14.1232R
 Keywords:

 Electromagnetic Scattering;
 Holes (Mechanics);
 Perforated Shells;
 Plane Waves;
 Scattering Coefficients;
 Spherical Shells;
 Wave Diffraction;
 Abel Function;
 Differential Equations;
 Electric Conductors;
 Functionals;
 Spherical Caps;
 Communications and Radar