Circuit modeling of the transmissivity of stacked two-dimensional metallic meshes

Abstract

This paper presents a simple analytical circuit-like model to study the transmission of electromagnetic waves through stacked two-dimensional (2-D) conducting meshes. When possible the application of this methodology is very convenient since it provides a straightforward rationale to understand the physical mechanisms behind measured and computed transmission spectra of complex geometries. Also, the disposal of closed-form expressions for the circuit parameters makes the computation effort required by this approach almost negligible. The model is tested by proper comparison with previously obtained numerical and experimental results. The experimental results are explained in terms of the behavior of a finite number of strongly coupled Fabry-Pérot resonators. The number of transmission peaks within a transmission band is equal to the number of resonators. The approximate resonance frequencies of the first and last transmission peaks are obtained from the analysis of an infinite structure of periodically stacked resonators, along with the analytical expressions for the lower and upper limits of the pass-band based on the circuit model.

Circuit modeling of multiband high-impedance surface absorbers in the microwave regime

“…Indeed, problems closely related to the ones treated in this work have been analyzed following the circuit approach presented in Refs. [25][26][27]. Also, it should be mentioned that the circuit modeling can be used at optical frequencies, 28 with the functionality of inductors, capacitors, and resistors realized using plasmonic and nonplasmonic nanoparticles.…”

“…The method of analysis is based on the circuit theory model of the stacked subwavelength grids, 27 wherein the analytical expressions for the grid impedances (admittances) are obtained in terms of the effective circuit parameters from the full-wave scattering problem. 29,30 In this paper, we add lumped resistors or a single resistive sheet on the top layer of a stack of grid or patch arrays, and study the absorption mechanisms of the entire multilayer structure.…”

Dual capacitive-inductive nature of periodic graphene patches: Transmission characteristics at low-terahertz frequencies

“…Alternatively, one can use the circuit model described in Refs. 12,13, and 46 to analyze the multilayer stack with the graphene patches modeled as a shunt admittance (Y s = 1/Z s ) across the transmission-line sections.…”

“…With the latest developments in fabrication technology, the transmission and reflection spectra of these structures can be realized at optical, [1][2][3][4] infrared, 5,6 terahertz, [7][8][9] and microwave [10][11][12][13] frequencies through careful design of the constituent subwavelength periodic elements and dielectric layers. For example, these include a stack of metal apertures (mesh-grids) at microwave 12 and infrared frequencies, 5,6 a stack of metallic patch arrays at microwave frequencies, 13 metal-dielectric and aperture/mesh-grid-dielectric stacks at optical frequencies, [1][2][3][4] and more recently a stack of graphene sheets-dielectric layers at low-terahertz frequencies. 9 Various periodically patterned graphene surfaces [14][15][16][17][18] have been designed at microwave, terahertz, and optical frequencies for tunable metamaterials, with potential applications including filters, absorbers, and polarizers.…”

“…Further, it was discussed in Ref. 12 that the stacked metallic apertures/mesh-grids at microwave frequencies mimic the transmission properties of a metal-dielectric stack at optical frequencies, and in Ref. 9 it was shown that a graphene sheetdielectric stack at low-terahertz frequencies behaves similar to metallic apertures/mesh-grids.…”