Method of conjugate gradients for the numerical solution of largebody electromagnetic scattering problems
Abstract
In the solution of electromagnetic scattering problems, asymptotic techniques, such as the geometric theory of diffraction (GTD), have been employed in addition to techniques involving the numerical solution of integral equations. However, GTD techniques are not well suited for dealing with scatterers which cannot be conveniently described in terms of a limited number of canonical geometries. Integral equations, on the other hand, can be formulated for scatterers of arbitrary shape. Numerical solutions for such equations are obtained by a systematic application of certain techniques. In the past, however, the application of this approach has been limited to bodies which are electrically small. Current research in computational electromagnetics includes efforts to develop moreefficient algorithms for solving the equations. Iterative procedures are often incorporated into the algorithms. The present paper is concerned with one iterative technique, which has been found useful for the solution of largebody scattering problems.
 Publication:

Journal of the Optical Society of America A
 Pub Date:
 June 1985
 DOI:
 10.1364/JOSAA.2.000971
 Bibcode:
 1985JOSAA...2..971P
 Keywords:

 Conjugate Gradient Method;
 Electromagnetic Scattering;
 Integral Equations;
 Convolution Integrals;
 Dielectrics;
 Electric Conductors;
 Fast Fourier Transformations;
 Matrices (Mathematics);
 Memory (Computers);
 Selective Surfaces;
 Physics (General);
 COMPUTERS;
 SCATTERING;
 DIFFRACTION;
 ELECTROMAGNETIC WAVES