Operator method in the problem of diffraction of waves on two graphene strips located in parallel planes

Authors

  • М.Е. Калиберда
  • С.А. Погарский

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.

How to Cite

Калиберда, М., & Погарский, С. (2017). Operator method in the problem of diffraction of waves on two graphene strips located in parallel planes. Radiotekhnika, 1(188), 12–15. Retrieved from http://rt.nure.ua/article/view/210704

Issue

Section

Articles