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Scattering of Plane Waves From an Infinite Dielectric Periodic Surface
Author(s) -
Wei Yinyu,
Wu Zhensen,
Li Haiying,
Qu Tan
Publication year - 2019
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2018rs006769
Subject(s) - floquet theory , scattering , rayleigh scattering , scattering amplitude , optical theorem , scattering length , physics , scattering theory , plane (geometry) , surface (topology) , optics , fourier series , plane wave , amplitude , computational physics , mathematical analysis , mathematics , geometry , quantum mechanics , nonlinear system
In this paper, the scattering characteristics an infinite dielectric periodic surface are investigated in detail. The Fourier expression of scattering field of the periodic surface is obtained by using the Rayleigh hypothesis and the Floquet theorem. Using the extended boundary condition method and the T‐matrix method, the scattering amplitude factor is solved, and the correctness of the algorithm is verified by use of the law of energy conservation. The scattering cross section of the periodic surface in the infinitely long region is derived by improving the formula of the finite one as its length is increased. Furthermore, the effects of the incident wave parameters and geometric structure parameters on the scattering of the periodic surface are analyzed and discussed. The results show that the period and amplitude of the surface corrugations determine the number of scattering intensity peaks, and influence the scattering intensity distribution with permittivity significantly.