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Iterative approach to solving the magnetic and electric field integral equations for scattering by a dielectric thin film

We apply an iterative solution approach, the method of ordered multiple interactions (MOMI), to solve the magnetic and electric field integral equations which are pertinent to scattering by a thin dielectric film bounded by a semi- infinite dielectric substrate and by a semi-infinite dielectric superstrate. The thin film boundaries are randomly rough, which is numerically generated. We consider two- dimensional geometry (invariance in the y-direction) and investigate convergence for a TM polarized incident Gaussian tapered beam.