Quasi-Analytical Modeling of Transmission/Reflection in Strip/Slit Gratings Loaded With Dielectric Slabs

Abstract

International audienc

Analytical circuit model for stacked slit gratings

“…Our purpose now is to find the equivalent 1r-network shown in Fig. 2(a) that describes the behavior of the coupled-screens (Xl Ys = -j L: A n y2) csc(;3�l)d l ) (9) n=-oo…”

“…Nowadays, the analysis of this kind of structures is mostly carried out using commercial software, although recently a lot of attention is being paid in the literature to the development of circuit-like models [6], [7]. These models provide closed-form analytical expressions for the transmission, reflection and absorption properties of that kind of geometries; see, for instance, the quasi-heuristic approaches for 2D arrays of slots in [8], for 2D arrays of patches in [9] or for strip/slit-like structures in [10], as well as the rigorous circuit-model derivation in [11] for 1D arrays of strips/slits. It should be noted that all the above mentioned papers only consider the case of a single structured periodic metallic surface (the periodicity is assumed to be in the transverse directions).…”

Wideband analytical equivalent circuit for coupled asymmetrical nonaligned slit arrays

“…Taking advantage of (32)-(34), we can construct the following nth modal admittance matrix by grouping harmonics with opposite orders (Ŷ ij,n = Y ij,n + Y ij,−n ): (1) n N 2 n (w 1 ) cot β (1) n d , (35) Y 12,n = 2jY (1) n N n (w 1 )N n (w 2 ) cos(k n h) csc β (1) n d , (36) Y 21,n = 2jY (1) n N n (w 2 )N n (w 1 ) cos(k n h) csc β (1) n d , (37) Y 22,n = −2jY (1) n N 2 n (w 2 ) cot β (1) n d . (38) Since this resulting modal admittance matrix is symmetric, a conventional network can be derived whose series and parallel admittances are given by Y s,n = −2jY (1) n N n (w 1 )N n (w 2 ) cos(k n h) csc β (1)…”

“…As this feature is very helpful for the design of devices based on this kind of system [33,34], great effort has been made to develop accurate equivalent circuits for planar periodic metallic structures; see, for instance, [14,35,36] and references therein. The authors have also elaborated dynamic equivalent circuits for 1D arrays of metal strips [37,38] or 2D arrays of metal patches or apertures [39][40][41].…”

Applications of AMC-based impedance surfaces

“…Since the equivalent LC model is open circuit at the resonant frequency v r ¼ 1= ffiffiffiffiffiffiffi LC p , the HIS has also a high impedance at v r similar to a PMC surface. Further analysis and modelings of AMCs are available in [2][3][4].…”