Numerical solution of singular integral equations. Application to the flanged plane waveguide
Abstract
Singular integral equations arise frequently in electromagnetic and acoustic theory. We present here a numerical technique for solving integral equations which are meaningful in the sense of Cauchy principal value or Hadamard finite parts by a projection method in Hilbert spaces. Application to the radiation problem from a flanged plane waveguide is given.
 Publication:

Journal of Computational Physics
 Pub Date:
 December 1980
 DOI:
 10.1016/00219991(80)901540
 Bibcode:
 1980JCoPh..38..357C
 Keywords:

 Electromagnetic Wave Transmission;
 Flanges;
 Numerical Integration;
 Singular Integral Equations;
 Waveguides;
 Double Precision Arithmetic;
 Energy Conservation;
 Geometrical Optics;
 Hilbert Space;
 Wave Reflection;
 Physics (General)