Two level complex image method for periodic Green’s function in scattering problem of periodic rough surface

L. Li

doi:10.1117/12.2599869

1 June 2021 Two level complex image method for periodic Green’s function in scattering problem of periodic rough surface

L. Li

Author Affiliations +

Proceedings Volume 11848, International Conference on Signal Image Processing and Communication (ICSIPC 2021); 1184813 (2021) https://doi.org/10.1117/12.2599869
Event: International Conference on Signal Image Processing and Communication (ICSIPC 2021), 2021, Chengdu, China

Abstract

In this paper, a two level complex image method is proposed to deduce the spectral-domain Green’s function for scattering from periodic surfaces in geometrical optical regime. In contrast to the one level complex image method, which can only derive periodic Green’s function in closed form at low frequencies for scattering from periodic surfaces in physical optics regime and renormalization regime, the two level complex method can accurately derive the spectral-domain Green’s function at high frequencies. The residual quotient in the spectral domain is approximated to an exponential series by the Generalized pencil-of-function method. The scheme approximates along a two level path, takes into account the contribution beyond T₀, and gives precise results in a wide frequency range. The calculated results are in good agreement with those of the spectral Kummer Poisson method, and the computational efficiency of the two level complex image method is higher.

Citation Download Citation

L. Li "Two level complex image method for periodic Green’s function in scattering problem of periodic rough surface", Proc. SPIE 11848, International Conference on Signal Image Processing and Communication (ICSIPC 2021), 1184813 (1 June 2021); https://doi.org/10.1117/12.2599869

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