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:
- 10.1016/0021-9991(80)90154-0
- 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)