AN ANALYSIS OF THE SPECTRAL ITERATIVE TECHNIQUE FOR ELECTROMAGNETIC SCATTERING FROM INDIVIDUAL AND PERIODIC STRUCTURES

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Abstract
It is shown that the disctete system solved by the Spectral Iterative Technique (SIT) is of Toeplitz or block Toeplitz form, and thus may be more amenable to direct solution in certain cases. In addition, the discrete system associated with the SIT is shown to be equivalent to a moment method matrix equation, with basis and testing functions chosen implicitly in the process. Thus, there is no additional generality in the SIT type of approach compared to the conventional method of moments. These statements concern the discretization procedure used within the SIT, and apply whether the SIT is implemented in its original form or in connection with the conjugate gradient method. Simple examples of scattering from a single strip and from a periodic array of strips are used to illustrate the concepts.