Electromagnetic scattering from perfectly conducting periodic rough surfaces using discrete two-level complex images method

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The one-level complex image method is only useful in deriving the spectral-domain Green’s function at low frequencies. In this paper, a two-level complex image method is proposed to derive closed form periodic Green’s function at high frequencies for problem of scattering from perfectly conducting periodic surfaces. The remaining quotients in the spectral domain are approximated by a finite series of exponential using the Generalized pencil-of- function method. The approximation is performed along the two-level path, with this scheme the contribution beyond T0 has been considered and it will give accurate results over a wide frequency range. The results are compared with those obtained by the spectral Kummer- Poisson’s method and good agreements are observed. Also the complex image method is more computational efficient.