Modeling of Graphene Planar Grating in the THz Range by the Method of Singular Integral Equations

References

[1] K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater, vol. 6, pp. 183–191, 2007.10.1038/nmat1849Search in Google Scholar PubMed

[2] T. Otsuji, S. A. Boubanga Tombet, A. Satou, H. Fukidome, M. Suemitsu, E. Sano, V. Popov, M. Ryzhii, and V. Ryzhii, “Graphene-based devices in terahertz science and technology,” J. Phys. D: Appl. Phys., vol. 45, pp. 303001, 2012.10.1088/0022-3727/45/30/303001Search in Google Scholar

[3] M. Tamagnone, J. S. Gomez-Diaz, J. R. Mosig, and J. Perruisseau-Carrier, “Reconfigurable THz plasmonic antenna concept using a graphene stack,” Appl. Phys. Lett., vol. 101, pp. 214102, 2012.10.1063/1.4767338Search in Google Scholar

[4] F. Schwierz, “Graphene transistors,” Nat. Nanotechnol., vol. 5, no. 7, pp. 487–496, 2010.10.1038/nnano.2010.89Search in Google Scholar PubMed

[5] P. Avouris, “Graphene: electronic and photonic properties and devices,” Nano Lett., vol. 10, no. 11, pp. 4285–4294, 2010.10.1021/nl102824hSearch in Google Scholar PubMed

[6] M. Cheng, P. Fu, M. Weng, X. Chen, X. Zeng, S. Feng, and R. Chen, “Spatial and angular shifts of terahertz wave for the graphene metamaterial structure,” J. Phys. D App. Phys., vol. 48, no. 23, pp. 285105, 2015.10.1088/0022-3727/48/28/285105Search in Google Scholar

[7] P. A. Huidobro, M. Kraft, R. Kun, S. A. Maier, and J. B. Pendry, “Graphene, plasmons and transformation optics,” J. Opt., vol. 18, pp. 044024, 2016.10.1088/2040-8978/18/4/044024Search in Google Scholar

[8] J. M. Jornet and I. F. Akyildiz, “Graphene-based plasmonic nano-antenna for terahertz band communication in nanonetworks,” IEEE J. Sel. Area. Comm., vol. 31, no. 12, pp. 685–694, 2013.10.1109/JSAC.2013.SUP2.1213001Search in Google Scholar

[9] Y. Francescato, V. Giannini, J. Yang, M. Huang, and S. A. Maier, “Graphene sandwiches as a platform for broadband molecular spectroscopy,” ACS Photonics, vol. 1, no. 5, pp. 437–443, 2014.10.1021/ph5000117Search in Google Scholar

[10] O. V. Shapoval and A. I. Nosich, “Bulk refractive-index sensitivities of the THz-range plasmon resonances on a micro-size graphene strip,” IOP J. Phys. D Appl. Phys., vol. 49, no. 5, pp. 055105/8, 2016.10.1088/0022-3727/49/5/055105Search in Google Scholar

[11] O. V. Shapoval, J. S. Gomez-Diaz, J. Perruisseau-Carrier, J. R. Mosig, and A. I. Nosich, “Integral equation analysis of plane wave scattering by coplanar graphene-strip gratings in the THz range,” IEEE Trans. Terahertz Sci. Technol., vol. 3, no. 5, pp. 666–674, 2013.10.1109/TTHZ.2013.2263805Search in Google Scholar

[12] P. Y. Chen and A. Alu, “Atomically thin surface cloak using graphene monolayers,” ACS Nano, vol. 5, no. 7, pp. 5855–5863, 2011.10.1021/nn201622eSearch in Google Scholar PubMed

[13] L. Ju, B. Geng, J. Horng, C. Girit, M. Martin, Z. Hao, H. A. Bechtel, X. Liang, A. Zettl, Y. R. Shen, and F. Wang, “Graphene plasmonics for tunable terahertz metamaterials,” Nat. Nanotechnol., vol. 6, pp. 630–634, 2011.10.1038/nnano.2011.146Search in Google Scholar PubMed

[14] Y. Huang, L.-S. Wu, M. Tang, and J. Mao, “Design of a beam reconfigurable THz antenna with graphene-based switchable high-impedance surface,” IEEE Trans. Nanotech., vol. 11, no. 4, pp. 836–842, 2012.10.1109/TNANO.2012.2202288Search in Google Scholar

[15] I. Llatser, C. Kremers, A. Cabellos-Aparicio, J. M. Jornet, E. Alarcon, and D. N. Chigrin, “Graphene-based nano-patch antenna for terahertz radiation,” Photonics Nanostruct. Fundam. Appl., vol. 10, no. 4, pp. 353–358, 2012.10.1016/j.photonics.2012.05.011Search in Google Scholar

[16] Y. Yao, M. A. Kats, P. Genevet, N. Yu, Y. Song, J. Kong, and F. Capasso, “Broad electrical tuning of graphene-loaded plasmonic antennas,” Nano Lett., vol. 13, no. 3, pp. 1257–1264, 2013.10.1021/nl3047943Search in Google Scholar PubMed

[17] M. Jablan, H. Buljan, and M. Soljacic, “Plasmonics in graphene at infrared frequencies,” Phys. Rev. B., vol. 80, pp. 245435, 2009.10.1103/PhysRevB.80.245435Search in Google Scholar

[18] J. Horng, C.-F. Chen, B. Geng, C. Girit, Y. Zhang, Z. Hao, H. A. Bechtel, M. Martin, A. Zettl, M. F. Crommie, Y. R. Shen, and F. Wang, “Drude conductivity of Dirac fermions in graphene,” Phys. Rev. B, vol. 83, pp. 165113, 2011.10.1103/PhysRevB.83.165113Search in Google Scholar

[19] A. A. Dubinov, V. Y. Aleshkin, V. Mitin, T. Otsuji, and V. Ryzhii, “Terahertz surface plasmons in optically pumped graphene structures,” J. Phys. Condens. Matter, vol. 23, no. 14, pp. 145302, 2011.10.1088/0953-8984/23/14/145302Search in Google Scholar PubMed

[20] A. Y. Nikitin, F. Guinea, F. J. Garcia-Vidal, and L. Martin-Moreno, “Edge and waveguide terahertz surface plasmon modes in graphene microribbons,” Phys. Rev. B., vol. 84, pp. 161407, 2011.10.1103/PhysRevB.84.161407Search in Google Scholar

[21] M. Y. Han, B. Oezyilmaz, Y. Zhang, and P. Kim, “Energy band gap engineering of graphene nanoribbons,” Phys. Rev. Lett., vol. 98, no. 20, pp. 206805, 2007.10.1103/PhysRevLett.98.206805Search in Google Scholar PubMed

[22] G. W. Hanson, “Dyadic Green’s functions and guided surface waves for a surface conductivity model of graphene,” J. Appl. Phys., vol. 103, pp. 064302, 2008.10.1063/1.2891452Search in Google Scholar

[23] G. W. Hanson, “Dyadic Green’s functions for an anisotropic, non-local model of biased graphene,” IEEE Trans. Antennas Propag., vol. 56, no. 3, pp. 747–757, 2008.10.1109/TAP.2008.917005Search in Google Scholar

[24] V. P. Gusynin, S. G. Sharapov, and J. B. Carbotte, “On the universal AC optical background in graphene,” New. J. Phys., vol. 11, pp. 095013, 2009.10.1088/1367-2630/11/9/095013Search in Google Scholar

[25] Y. Shao, J. J. Yang, and M. Huang, “A review of computational electromagnetic methods for graphene modeling,” Int. J. Antennas Propag., vol. 2016, pp. 7478621, 2016.10.1155/2016/7478621Search in Google Scholar

[26] O. A. Golovanov, G. S. Makeeva, and V. V. Varenitsa, “Electrodynamic calculation of transmission coefficients for TEM-wave through the multilayer periodic graphene-dielectric structures at teraherz frequency range, University proceedings. Volga region. Physics and mathematics sciences,” Physics, vol. 32, no. 4, pp. 108–122, 2014.Search in Google Scholar

[27] A. Y. Nikitin, F. Guinea, F. J. Garcia-Vidal, and L. Martin-Moreno, “Surface plasmon enhanced absorption and suppressed transmission in periodic arrays of graphene ribbons,” Phys. Rev. B., vol. 85, pp. 081405, 2012.10.1103/PhysRevB.85.081405Search in Google Scholar

[28] T. L. Zinenko, “Scattering and absorption of terahertz waves by a free-standing infinite grating of graphene strips: analytical regularization analysis,” J. Opt., vol. 17, no. 5, pp. 1–8, 2015.10.1088/2040-8978/17/5/055604Search in Google Scholar

[29] M. V. Balaban, O. V. Shapoval, and A. I. Nosich, “THz wave scattering by a graphene strip and a disk in the free space: integral equation analysis and surface plasmon resonances,” J. Opt., vol. 15, pp. 1–9, 2013.10.1088/2040-8978/15/11/114007Search in Google Scholar

[30] I. K. Lifanov, Singular Integral Equations and Discrete Vortices. Utrecht: VSP, 1996.10.1515/9783110926040Search in Google Scholar

[31] M. E. Kaliberda, L. M. Lytvynenko, and S. A. Pogarsky, “Singular integral equations in diffraction problem by an infinite periodic strip grating with one strip removed,” J. Electromagn. Waves Applic., vol. 30, no. 18, pp. 2411–2426, 2016.10.1080/09205071.2016.1254071Search in Google Scholar

[32] Y. V. Gandel, “Boundary-value problems for the Helmholtz equation and their discrete mathematical models,” J. Math. Sci., vol. 171, pp. 74–88, 2010.10.1007/s10958-010-0127-3Search in Google Scholar

[33] A. A. Nosich and Y. V. Gandel, “Numerical analysis of quasioptical multireflector antennas in 2-D with the method of discrete singularities: E-wave case,” IEEE Trans. Antennas Propag., vol. 55, no. 2, pp. 399–406, 2007.10.1109/TAP.2006.889811Search in Google Scholar

[34] Y. V. Gandel, “Method of discrete singularities in electromagnetic problems,” Probl. Cybern., vol. 124, pp. 166–183, 1986. (in Russian)Search in Google Scholar

[35] H. C. van de Hulst, Light scattering by small particles. New York: Dover Publ., 1981.Search in Google Scholar

[36] G. T. Ruck, Radar Cross Section Handbook. New York: Plenum Press, 1970.10.1007/978-1-4899-5324-7Search in Google Scholar

[37] L. B. Felsen and N. Marcuvits, Radiation and Scattering of Waves. Englewood Cliffs: Prentice-Hall Inc., 1973.Search in Google Scholar