Integral Equation Analysis of Plane Wave Scattering by Coplanar Graphene-Strip Gratings in the THz Range

The plane wave scattering and absorption by finite and infinite gratings of free-space standing infinitely long graphene strips are studied in the THz range. A novel numerical approach, based on graphene surface impedance, hyper-singular integral equations, and the Nystrom method, is proposed. This...

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Bibliographic Details
Published in:IEEE transactions on terahertz science and technology Vol. 3; no. 5; pp. 666 - 674
Main Authors: Shapoval, Olga V., Gomez-Diaz, Juan Sebastian, Perruisseau-Carrier, Julien, Mosig, Juan R., Nosich, Alexander I.
Format: Journal Article
Language:English
Published: IEEE 01.09.2013
Subjects:
Graphene
Graphene strips
Gratings
Nystrom-type algorithm
Plasmons
Scattering
singular and hyper-singular integral equations (IEs)
Strips
Surface impedance
surface plasmon resonances
Surface waves
ISSN:2156-342X, 2156-3446
Online Access:Get full text
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Summary:The plane wave scattering and absorption by finite and infinite gratings of free-space standing infinitely long graphene strips are studied in the THz range. A novel numerical approach, based on graphene surface impedance, hyper-singular integral equations, and the Nystrom method, is proposed. This technique guarantees fast convergence and controlled accuracy of computations. Reflectance, transmittance, and absorbance are carefully studied as a function of graphene and grating parameters, revealing the presence of surface plasmon resonances. Specifically, larger graphene relaxation times increases the number of resonances in the THz range, leading to higher wave transmittance due to the reduced losses; on the other hand an increase of graphene chemical potential up-shifts the frequency of plasmon resonances. It is also shown that a relatively low number of graphene strips ( >10) are able to reproduce Rayleigh anomalies. These features make graphene strips good candidates for many applications, including tunable absorbers and frequency selective surfaces.
ISSN:2156-342X
2156-3446
DOI:10.1109/TTHZ.2013.2263805