Electromagnetic wave scattering by an infinite plane metallic grating in case of oblique incidence and arbitrary polarization

Abstract

A new type of the spectral domain method combined with the sampling theorem is applied to the rigorous analysis of the electromagnetic wave scattering by an infinite plane metallic grating in case of an oblique incidence and an arbitrary polarization. The accuracy and convergence of the present method are examined numerically from different angles, and it is found that the numerical results exhibit a good convergence even for a small truncation number. Some numerical examples are shown for the frequency characteristics of the reflected and transmitted powers, and the surface current distributions. Some versions in relation to the duality of the problem are also given.

Analysis of Scattering Characteristics for Strip Grating Sandwiched between Two Dielectric Layers under Oblique Incidence and Its Applications in Spatial Filters and Circular Polarizers

“…With coordinate transformation matrices, we can easily transform the fields in the characteristics coordinate system to the structure coordinate system, then according to the boundary conditions, the scattering coefficients can be rigorously obtained, which greatly simplify the calculation process. Comparisons between the results obtained with the rigorous methods [8,9] and commercial software Ansoft HFSS verify the efficiency and reliability of the present method.…”

“…Many analytical and numerical methods have been proposed to analyze the scattering characteristics of strip gratings because of their peculiar frequency selective characteristics [1][2][3][4][5][6][7][8][9]. Multimode network theory combined with integral equation method are efficiency only in smallaperture and small-obstacle [1][2][3][4][5]; The equivalent boundary conditions simplify the analysis procedure, however the computation error is larger, especially in the high frequency region [6]; Edge mode current density approximations are available only for wider strips [7]; The spectral-Galerkin moment method (MOM) [8] and the spectral domain method combined with the sampling theorem [9] can give rigorous results but their calculations are rather complex. In this paper, the scattering characteristics of strip grating sandwiched between two dielectric layers in the case of plane-wave arbitrary oblique incidence as shown in Fig.…”

Analysis of scattering characteristics for strip grating sandwiched between multi-dielectric layers under oblique incidence and its applications in circular polarizers

“…Using coordinate transformation matrices, we can easily transform the fields in the characteristics coordinate system to the structure coordinate system, which greatly simplify the calculation process, and then according to the boundary condition, the scattering coefficients can be rigorously obtained. Comparisons with the rigorous methods [9] and Ansoft HFSS are also given which verify the efficiency of our method.…”

“…In order to verify the accuracy of this theory, we compare our results with the rigorous method spectral domain method in [9] as shown in figure 2. We can see clearly from the figure that they coincidence very well in all the considering frequencies.…”

“…Many analytical and numerical methods had been proposed to analyze the scattering characteristics of strip gratings because of their peculiar frequency selective characteristics [1][2][3][4][5][6][7][8][9]. Multimode network theory combine with integral equation method are efficiency only in small-aperture and small-obstacle [1][2][3][4][5]; Equivalent boundary conditions simplified the analysis but the error is bigger in higher frequencies [6]; Edge mode current density approximations are proper only in wider strips [7]; The spectral-Galerkin moment method (MOM) [8] and the spectral domain method combined with the sampling theorem [9] are rigorous methods but the calculations are very complex. In this paper, scattering characteristics of strip grating with M top and N bottom uniform dielectric layers in the case of plane-wave arbitrary incidence as shown in figure 1 are carefully investigated.…”