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

Dept. of Electrical Engineering, University of Mississippi, University, MS 38677-1848, USA.
Optics Express (Impact Factor: 3.49). 06/2010; 18(13):13309-20. DOI: 10.1364/OE.18.013309
Source: PubMed


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.

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    • "Another two-dimensional representation of a metasurface is in terms of homogenized surface impedances [19], [20]. Here also, most attention has been given to the plane wave problem [21]–[24], although homogenized Green's functions for linesource excitations were presented in [25], and previously for one-dimensional periodic structures, in [26]. Thus, all previous work on homogenized Green's functions, either using susceptibility dyadics or surface impedances, have been done assuming a line-source excitation. "

    IEEE Transactions on Antennas and Propagation 01/2015; DOI:10.1109/TAP.2015.2501430 · 2.18 Impact Factor
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    • "In recent years, there has been considerable interest in the analysis of electromagnetic transmission through a variety of stacked periodic surfaces, due to their broad range of filter applications. For example, these include a stack of metal apertures (mesh-grids) at microwave [1] and infrared frequencies [2], a stack of metallic patch arrays at microwave frequencies [3], metal–dielectric and aperture/mesh– grid–dielectric stacks at optical frequencies [4], and more recently a stack of graphene sheets–dielectric layers at lowterahertz frequencies [5]. Also, various graphene metasurfaces have been designed at microwave and terahertz frequencies, with potential applications including filters, absorbers, and polarizers. "
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    ABSTRACT: We report on the dual nature (capacitive and inductive) of the surface impedance of periodic graphene patches at low-terahertz frequencies. The transmission spectra of a graphene-dielectric stack shows that patterned graphene exhibits both the low-frequency (capacitive) passband of metal patch arrays and the higher-frequency (inductive) passband of metal aperture arrays in a single tunable configuration. The analysis is carried out using a transfer matrix approach with two-sided impedance boundary conditions, and the results are verified using full-wave numerical simulations.
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    • "frequency band edge is the FP limit of the single dielectric layer, and the lower-band edge depends largely on the graphene impedance. This observation is consistent with the theory reported in [3] for mesh grid-dielectric stack at microwaves. Thus, by varying the chemical potential of the graphene sheets (without changing the structural parameters), the transmission band (pass-band) of the structure can be controlled. "
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    ABSTRACT: In this paper, we report on the analysis of transmissivity of electromagnetic waves through a stack of dielectric slabs loaded with atomically thin graphene sheets at low-terahertz frequencies. It is observed that the structure supports a series of bandpass regions separated by bandgap regions, similar to the case of stacked metallic meshes separated by dielectric slabs at microwave/THz frequencies or metal-dielectric stack at optical frequencies. The transmission resonances in the bandpass region are identified as coupled Fabry-Pérot resonances associated with the individual dielectric slabs loaded with graphene sheets. The study is carried out using a simple circuit theory model, with the results verified against the numerical simulations.
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