Transmission through stacked 2D periodic distributions of square conducting patches

Abstract

In this paper, we study the transmissivity of electromagnetic waves through stacked twodimensional printed periodic arrays of square conducting patches. An analytical circuit-like model is used for the analysis. The model accounts for the details of the transmission spectrum provided that the period of the unit cell of each patterned layer is well below the wavelength in the dielectric slabs separating the printed surfaces. In particular, we analyze the low-pass band and rejection band behavior of the multilayer structure, and the results are validated by comparison with a computationally intensive finite element commercial electromagnetic solver. The limiting case of an infinite periodic structure is analytically solved and the corresponding band structure is used to explain the passband/stopband behavior of finite structures. In addition, we study in depth the elementary unit cell consisting of a single dielectric slab coated by two metal patch arrays, and its resonance behavior is explained in terms of Fabry-P erot resonances when the electrical thickness of the slab is large enough. In such case, the concept of equivalent thickness of the equivalent ideal Fabry-P erot resonator is introduced. For electrically thinner slabs it is also shown that the analytical model is still valid, and its corresponding first transmission peak is explained in terms of a lumpedcircuit LC resonance. V C 2012 American Institute of Physics. [http://dx.

Line-source excitation of realistic conformal metasurface cloaks

“…The analytical grid-impedance expressions used in this work were originally derived and validated for planar surfaces and plane-wave incidence. 18,19,[21][22][23][24][25] In Ref. 17, we have successfully shown and verified the accuracy of these expressions for tailoring the required surface reactance of cylindrical metasurfaces, under far-field plane-wave illumination.…”

“…17 for plane-wave incidence are still very effective, even for near-field excitation, for both dielectric and conducting cylinders covered with slotted and printed metasurface mantle cloaks. We consider a variety of 2-D arrays with subwavelength periodic elements, such as mesh grids and patches, [18][19][20][21][22][23] and Jerusalem crosses. 24,25 The scattering problem is solved using the analytical eigenfunction-expansion method, which employs sheet impedance boundary conditions on the mantle cloak surface.…”

Analytical circuit model for stacked slit gratings

“…l(a)]. Thus, for instance, controlled transmission and rejection bands appear associated with the quasi-periodic nature of the system along the propagation direction of the wave when C l = C2 = ... = CN and d1 = d2 = ... = d N. This extension is relatively simple when the distance between the structured metal surfaces is large enough to preclude high-order mode interaction (i.e., when the interaction between metallic surfaces is due to the fundamental TEM propagating mode) [12]. However, interaction through the first few high-order modes drastically modifies the physics of the problem and makes the analysis much more compli cated.…”

Circuit-Model Analysis of Frequency Selective Surfaces With Scatterers of Arbitrary Geometry

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