Analysis of Two-Dimensional Conducting and Dielectric Bodies Utilizing the Conjugate Gradient Method

The conjugate gradient Method for the analysis of both transverse electric (TE) and transverse magnetic (TM) scattering from two-dimensional conducting and dielectric structures is presented. Comparison with the conventional approaches indicate that the conjugate gradient method yields good results. However, the major advantage of the conjugate gradient method is that one could incorporate any initial guess for the solution of the current in the solution procedure and that a given problem could be solved to any prespecified degree of accuracy. Also the conjugate gradient method may be applied to the solution of operator equations at frequencies corresponding to the internal resonances of the objects yielding a minimum norm solution. The storage required for the conjugate gradient method is 5N as opposed to N2 for conventional methods.