30 October 1998 Application of MOMI iteration to solve the magnetic and electric field integral equations
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Abstract
We apply the method of ordered multiple interactions (MOMI) to solve the magnetic and electric field integral equations pertinent to electromagnetic scattering from a randomly rough dielectric-dielectric interface. We consider a two-dimensional geometry (invariance in the y-direction) and investigate convergence of the MOMI algorithm for a TM polarized incident plane wave and Gaussian tapered beam. It is known that the Neumann iteration does not converge for a dielectric system. The MOMI, which is basically a Neumann iteration on an extensive modification of the original integral equation, also does not converge. We show a new combination of the relevant integral equations for which the MOMI converges.
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J. Merle Elson, Phuc G. Tran, "Application of MOMI iteration to solve the magnetic and electric field integral equations", Proc. SPIE 3426, Scattering and Surface Roughness II, (30 October 1998); doi: 10.1117/12.328469; https://doi.org/10.1117/12.328469
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