Method of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips

Abstract In this paper, efficient analysis of the plane wave scattering by periodic arrays of magnetically-biased graphene strips (PAMGS) is performed using the semi-numerical, semi-analytical method of lines (MoL). In MoL, all but one independent variable is discretized to reduce a system of partia...

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Autores principales:	Mehri Ziaee Bideskan, Keyvan Forooraghi, Zahra Atlasbaf
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/3566bc1b41e144d0ad296a34a9649e5b
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spelling	oai:doaj.org-article:3566bc1b41e144d0ad296a34a9649e5b2021-12-02T14:25:55ZMethod of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips10.1038/s41598-021-86882-z2045-2322https://doaj.org/article/3566bc1b41e144d0ad296a34a9649e5b2021-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-86882-zhttps://doaj.org/toc/2045-2322Abstract In this paper, efficient analysis of the plane wave scattering by periodic arrays of magnetically-biased graphene strips (PAMGS) is performed using the semi-numerical, semi-analytical method of lines (MoL). In MoL, all but one independent variable is discretized to reduce a system of partial differential equations to a system of ordinary differential equations. Since the solution in one coordinate direction is obtained analytically, this method is time effective with a fast convergence rate. In the case of a multi-layered PAMGS, the governing equations of the problem are discretized concerning periodic boundary conditions (PBCs) in the transverse direction. The reflection coefficient transformation approach is then used to obtain an analytical solution in the longitudinal direction. Here, magnetically-biased graphene strips are modeled as conductive strips with a tensor surface conductivity which is electromagnetically characterized with tensor graphene boundary condition (TGBC). The reflectance and transmittance of different multi-layered PAMGS are carefully obtained and compared with those of other methods reported in the literature. Very good accordance between the results is observed which confirms the accuracy and efficiency of the proposed method.Mehri Ziaee BideskanKeyvan ForooraghiZahra AtlasbafNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Mehri Ziaee Bideskan Keyvan Forooraghi Zahra Atlasbaf Method of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips
description	Abstract In this paper, efficient analysis of the plane wave scattering by periodic arrays of magnetically-biased graphene strips (PAMGS) is performed using the semi-numerical, semi-analytical method of lines (MoL). In MoL, all but one independent variable is discretized to reduce a system of partial differential equations to a system of ordinary differential equations. Since the solution in one coordinate direction is obtained analytically, this method is time effective with a fast convergence rate. In the case of a multi-layered PAMGS, the governing equations of the problem are discretized concerning periodic boundary conditions (PBCs) in the transverse direction. The reflection coefficient transformation approach is then used to obtain an analytical solution in the longitudinal direction. Here, magnetically-biased graphene strips are modeled as conductive strips with a tensor surface conductivity which is electromagnetically characterized with tensor graphene boundary condition (TGBC). The reflectance and transmittance of different multi-layered PAMGS are carefully obtained and compared with those of other methods reported in the literature. Very good accordance between the results is observed which confirms the accuracy and efficiency of the proposed method.
format	article
author	Mehri Ziaee Bideskan Keyvan Forooraghi Zahra Atlasbaf
author_facet	Mehri Ziaee Bideskan Keyvan Forooraghi Zahra Atlasbaf
author_sort	Mehri Ziaee Bideskan
title	Method of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips
title_short	Method of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips
title_full	Method of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips
title_fullStr	Method of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips
title_full_unstemmed	Method of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips
title_sort	method of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/3566bc1b41e144d0ad296a34a9649e5b
work_keys_str_mv	AT mehriziaeebideskan methodoflinesforanalysisofplanewavescatteringbyperiodicarraysofmagneticallybiasedgraphenestrips AT keyvanforooraghi methodoflinesforanalysisofplanewavescatteringbyperiodicarraysofmagneticallybiasedgraphenestrips AT zahraatlasbaf methodoflinesforanalysisofplanewavescatteringbyperiodicarraysofmagneticallybiasedgraphenestrips
_version_	1718391361192853504

Method of lines for analysis of plane wave scattering by periodic arrays of magnetically-biased graphene strips

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