Operator method in the problem of diffraction of waves on two graphene strips located in parallel planes
Abstract
Diffraction of the - polarized plane electromagnetic wave in the THz range by two graphene strips placed in the parallel planes is considered. The operator method is used for the solution. The comparison of results with results obtained by the method of the hyper-singular integral equations for two graphene strips placed in the same plane is performed. The dependencies of the total scattering cross section, absorbance coefficient vs. frequency as well as near and far fields distribution at the plasmon resonance frequency are presented.References
Jablan, M., Buljan, H., Soljacic, M. Plasmonics in graphene at infrared frequencies // Phys. Rev. B. – 2009. – Vol. 80. – P.245435.
Bludov, Y. V., Vasilevskiy, M. I., Peres, N. M. R. Mechanism for graphene-based optoelectronic switches by tuning surface plasmon-polaritons in monolayer graphene // European Phys. Lett. – 2010. – Vol. 92. – P.68001.
Fallahi, A., Perruisseau-Carrier, J. Design of tunable biperiodic graphene metasurfaces // Phys. Rev. B. – 2012. – Vol. 86. – P.195408-(9).
Jornet, J. M., Akyildiz, I. F. Graphene-based Plasmonic Nano-Antenna for Terahertz Band Communication in Nanonetworks // IEEE Journal on Selected Areas in Communications/Supplement. – 2013. – Vol.31. – No.12. – P.685-694.
Shapoval, O. V., Gomez-Diaz, J. S., Perruisseau-Carrier, J., Mosig, J. R., Nosich, A. I. Integral Equation Analysis of Plane Wave Scattering by Coplanar Graphene-Strip Gratings in the THz Range // IEEE Trans. Antennas Propag. – 2013. – Vol. 3. No.5. – P.666-674.
Balaban, M. V., Shapoval, O. V., Nosich, A. I. THz wave scattering by a graphene strip and a disk in the free space: integral equation analysis and surface plasmon resonances // Journal of Optics. – 2013. – Vol. 15. – P.1-9.
Голованов, О. А., Макеева, Г. С., Вареница, В. В. Электродинамический расчет коэффициентов прохождения тем-волны через многослойные периодические структуры графен-диэлектрик в терагерцовом диапазоне // Изв. вузов. Поволжский регион. Физико-математические науки. – 2014. – Т.32. № 4. – С. 108-122.
Макеева, Г. С., Голованов, О. А. Электродинамический расчет комплексного коэффициента распространения электромагнитной волны в волноведущей структуре «углеродная нанотрубка – графен» в терагерцовом и инфракрасном диапазонах // Изв. вузов. Поволжский регион. Физико-математические науки. – 2015. – Т.33. № 1. – С. 140-155.
Hanson, G. W. Dyadic Green’s functions for an anisotropic, non-local model of biased graphene // IEEE Trans. Antennas Propag. – 2008. – Vol. 56. – No. 3. P. – 747-757.
Литвиненко, Л. Н., Просвирнин, С.Л. Спектральные операторы рассеяния в задачах дифракции волн на плоских экранах. – Киев : Наук. думка, 1984. 240 с.
Kaliberda, M. E., Lytvynenko, L. N., Pogarsky, S. A. Diffraction of H-polarized electromagnetic waves by a multi-element planar semi-infinite grating // Telecommunications and Radio Engineering. – 2015. – Vol. 74. No. 9. – P. 753-767.
Lytvynenko, L. M., Kaliberda, M. E., Pogarsky, S. A. Wave diffraction by semi-infinite venetian blind type grating // IEEE Trans. Antennas Propag. – 2013. – Vol. 61. No. 12. – P. 6120-6127.
Kaliberda, M. E., Lytvynenko, L. M, Pogarsky, S. A. Singular Integral Equations in Diffraction Problem by an Infinite Periodic Strip Grating with One Strip Removed // J. Electromagn. Waves Appl. 2016 (online). DOI: 10.1080/09205071.2016.1254071.
Шестопалов, В. П., Литвиненко, Л. Н., Масалов С. А., Сологуб, В. Г. Дифракция волн на решетках. – Харьков : ХГУ, 1973. 287 с.
Downloads
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).