A method for combining integral equation and asymptotic techniques for solving electromagnetic scattering problems
Abstract
The geometrical theory of diffraction takes advantage of the fact that the Fourier transform of the unknown surface current distribution is proportional to the scattered far field. A number of asymptotic methods are available that provide good approximation to this far field in a convenient analytic form which is useful for deriving an initial estimate of the Fourier transform of the current distribution. An iterative scheme is developed for systematically improving the initial form of the high frequency asymptotic solution by manipulating the integral equation in the Fourier transform domain. A synthetic-aperture-distribution scheme is also developed in which the approximate scattered far-field pattern obtained by asymptotic techniques is improved by systematically correcting the scattered field distribution on an aperture erected in juxtaposition with the obstacle.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1976
- Bibcode:
- 1976PhDT........80K
- Keywords:
-
- Asymptotic Methods;
- Electromagnetic Scattering;
- Integral Equations;
- Problem Solving;
- Antenna Radiation Patterns;
- Current Distribution;
- Far Fields;
- Fourier Transformation;
- Communications and Radar