Analytical Pole Residue Calculation in Spectral Method of Moments Formulations for Periodic Structures

Abstract

An analytical method for evaluating pole-residues in spectral method of moments (MoM) formulations is presented. Spectral integral formulations for periodic structures involve the inverse of the MoM matrix, which exhibits a periodic set of pole singularities, corresponding to the zeros of the matrix’s determinant. So far, these singularities have not been extracted and the corresponding pole-residues were calculated directly from the differential or integral definitions of the residue. In this work, we consider an analytical expression for the solution to the MoM matrix equation, which enables the extraction of pole singularities and the analytical evaluation of pole-residues. We also present a comparison to previous methods.

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Cite this paper

@inproceedings{Kaganovsky2010AnalyticalPR, title={Analytical Pole Residue Calculation in Spectral Method of Moments Formulations for Periodic Structures}, author={Yan Kaganovsky and Reuven Shavit}, year={2010} }