Singular integral equations in plane wave scattering by infinite graphene strip grating with brake of periodicity

References

[1] K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater., vol. 6, pp. 183–191, 2007, https://doi.org/10.1038/nmat1849.Search in Google Scholar

[2] L. Ju, B. Geng, J. Horng, et al.., “Graphene plasmonics for tunable terahertz metamaterials,” Nat. Nanotechnol., vol. 6, pp. 630–634, 2011, https://doi.org/10.1038/nnano.2011.146.Search in Google Scholar

[3] W. Zhou, J. Lee, J. Nanda, S. T. Pantelides, S. J. Pennycook, and J.-C. Idrobo, “Atomically localized plasmon enhancement in monolayer graphene,” Nat. Nanotechnol., vol. 7, pp. 161–165, 2012, https://doi.org/10.1038/nnano.2011.252.Search in Google Scholar

[4] H. Yan, X. Li, B. Chandra, et al.., “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol., vol. 7, pp. 330–4, 2012, https://doi.org/10.1038/nnano.2012.59.Search in Google Scholar

[5] Z. Xu, D. Wu, Y. Liu, et al.., “Design of a tunable ultra-broadband terahertz absorber based on multiple layers of graphene ribbons,” Nanosc. Res. Lett., vol. 13, p. 143, 2018, https://doi.org/10.1186/s11671-018-2552-z.Search in Google Scholar

[6] A. Khavasi, “Design of ultra-broadband graphene absorber using circuit theory,” J. Opt. Soc. Am. B, vol. 32, pp. 1941–1946, 2015, https://doi.org/10.1364/josab.32.001941.Search in Google Scholar

[7] J. Chen, J. Li, and Q.-H. Liu, “Designing graphene-based absorber by using HIE-FDTD method,” IEEE Trans. Antenn. Propag., vol. 65, pp. 1896–1902, 2017, https://doi.org/10.1109/tap.2017.2670610.Search in Google Scholar

[8] M. Tamagnone, J. S. Gómez-Díaz, J. R. Mosig, and J. Perruisseau-Carrier, “Analysis and design of terahertz antennas based on plasmonic resonant graphene sheets,” J. Appl. Phys., vol. 112, p. 114915, 2012, https://doi.org/10.1063/1.4768840.Search in Google Scholar

[9] W. Fuscaldo, P. Burghignoli, P. Baccarelli, and A. Galli, “Efficient 2-d leaky-wave antenna configurations based on graphene metasurfaces,” Int. J. Microwave Wirel. Technol., vol. 9, pp. 1293–1303, 2017, https://doi.org/10.1017/s1759078717000459.Search 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,” J. Phys. Appl. Phys., vol. 49, p. 055105/8, 2019.10.1088/0022-3727/49/5/055105Search in Google Scholar

[11] B. Zhang, J. M. Jornet, I. F. Akyldiz, and Z.-P. WU, “Mutual coupling reduction for ultra-dense multi-band plasmonic nano-antenna arrays using graphene-based frequency selective surface,” IEEE Access, vol. 7, pp. 33214–33225, 2019, https://doi.org/10.1109/access.2019.2903493.Search in Google Scholar

[12] M. E. Kaliberda, L. M. Lytvynenko, and S. A. Pogarsky, “Scattering by infinite graphene strip grating with brake of periodicity,” in Proceedings of the 49th European Microwave Conference, 2019, pp. 1028–1031.10.23919/EuMC.2019.8910731Search in Google Scholar

[13] G. W. Hanson, “Dyadic Green’s functions and guided surface waves for a surface conductivity model of graphene,” J. Appl. Phys., vol. 103, p. 064302, 2008, https://doi.org/10.1063/1.2891452.Search in Google Scholar

[14] V. P. Gusynin, S. G. Sharapov, and J. P. Carbotte, “On the universal ac optical background in graphene,” New J. Phys., vol. 11, p. 095013, 2009, https://doi.org/10.1088/1367-2630/11/9/095013.Search in Google Scholar

[15] G. W. Hanson, “Dyadic Green’s functions for an anisotropic, non-local model of biased graphene,” IEEE Trans. Antenn. Propag., vol. 56, pp. 747–757, 2008, https://doi.org/10.1109/tap.2008.917005.Search in Google Scholar

[16] G. Lovat, G. W. Hanson, R. Araneo, and P. Burghignoli, “Semiclassical spatially dispersive intraband conductivity tensor and quantum capacitance of graphene,” Phys. Rev. B, vol. 87, p. 115429, 2013, https://doi.org/10.1103/physrevb.87.115429.Search in Google Scholar

[17] G. Lovat, P. Burghignoli, and R. Araneo, “Low-frequency dominant-mode propagation in spatially dispersive graphene nanowaveguides,” IEEE Trans. Electromagn C., vol. 55, pp. 328–333, 2012.10.1109/TEMC.2012.2212247Search in Google Scholar

[18] W. Fuscaldo, P. Burghignoli, P. Baccarelli, and A. Galli, “Complex mode spectra of graphene-based planar structures for THz applications,” J. Infrared Millim. Terahertz Waves, vol. 36, pp. 720–733, 2015, https://doi.org/10.1007/s10762-015-0178-0.Search in Google Scholar

[19] P. A. Huidobro, M. Kraft, R. Kun, S. A. Maier, and J. B. Pendry, “Graphene, plasmons and transformation optics,” J. Opt., vol. 18, p. 044024, 2016, https://doi.org/10.1088/2040-8978/18/4/044024.Search in Google Scholar

[20] Y. Zhao, S. Tao, D. Ding, and R. Chen, “A time-domain thin dielectric sheet (TD-TDS) integral equation method for scattering characteristics of tunable graphene,” IEEE Trans. Antenn. Propag., vol. 66, pp. 1366–1373, 2018, https://doi.org/10.1109/tap.2018.2790043.Search in Google Scholar

[21] Y. Shao, J. J. Yang, and M. Huang, “A review of computational electromagnetic methods for graphene modelling,” Int. J. Antenn. Propag., vol. 2016, p. 7478621, 2016, https://doi.org/10.1155/2016/7478621.Search in Google Scholar

[22] M. E. Kaliberda, L. M. Lytvynenko, and S. A. Pogarsky, “Modeling of graphene planar grating in the THz range by the method of singular integral equations,” Frequenz, vol. 72, pp. 277–284, 2018, https://doi.org/10.1515/freq-2017-0059.Search in Google Scholar

[23] T. L. Zinenko, A. Matsushima, and A. I. Nosich, “Surface-plasmon, grating-mode, and slab-mode resonances in the H- and E-polarized THz wave scattering by a graphene strip grating embedded into a dielectric slab,” IEEE J. Sel. Top. Quant. Electron., vol. 23, p. 4601809, 2017, https://doi.org/10.1109/jstqe.2017.2684082.Search in Google Scholar

[24] 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, pp. 666–674, 2013, https://doi.org/10.1109/tthz.2013.2263805.Search in Google Scholar

[25] S. V. Dukhopelnykov, R. Sauleau, M. Garcia-Vigueras, and A. I. Nosich, “Combined plasmon-resonance and photonic-jet effect in the THz wave scattering by dielectric rod decorated with graphene strip,” J. Appl. Phys., vol. 126, p. 023104, 2019, https://doi.org/10.1063/1.5093674.Search in Google Scholar

[26] M. Kaliberda, L. Lytvynenko, and S. Pogarsky, “Simulation of infinite periodic graphene planar grating in the THz range by the method of singular integral equations,” Turk. J. Electr. Eng. Comput. Sci., vol. 26, pp. 1724–1735, 2018, https://doi.org/10.3906/elk-1712-92.Search in Google Scholar

[27] M. E. Kaliberda, L. M. Lytvynenko, and S. A. Pogarsky, “Singular integral equations analysis of THz wave scattering by infinite graphene strip grating embedded into grounded gielectric slab,” J. Opt. Soc. Am. A, vol. 36, pp. 1787–1794, 2019, https://doi.org/10.1364/josaa.36.001787.Search in Google Scholar

[28] M. E. Kaliberda, L. M. Lytvynenko, and S. A. Pogarsky, “THz waves scattering by finite graphene strip grating embedded into dielectric slab,” IEEE J. Quant. Electron., vol. 56, p. 8500107, 2020, https://doi.org/10.1109/jqe.2019.2950679.Search in Google Scholar

[29] 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, no. R, p. 161407, 2011, https://doi.org/10.1103/physrevb.84.161407.Search in Google Scholar

[30] T. M. Slipchenko, M. L. Nesterov, L. Martin-Moreno, and A. Y. Nikitin, “Analytical solution for the diffraction of an electromagnetic wave by a graphene grating,” J. Opt., vol. 15, p. 114008, 2013, https://doi.org/10.1088/2040-8978/15/11/114008.Search in Google Scholar

[31] A. B. Yakovlev, Y. R. Padooru, G. W. Hanson, A. Mafi, and S. Karbasi, “A generalized additional boundary condition for mushroom-type and bed-of-nails-type wire media,” IEEE Trans. Microw. Theor. Tech., vol. 59, pp. 527–532, 2010.10.1109/TMTT.2010.2090358Search in Google Scholar

[32] M. Nishimoto and H. Ikuno, “Analysis of electromagnetic wave diffraction by a semi-infinite strip grating and evaluation of end-effects,” Progr. Electromag. Res., vol. 23, pp. 39–59, 1999, https://doi.org/10.2528/pier98101602.Search in Google Scholar

[33] M. Nishimoto and H. Ikuno, “Numerical analysis of plane wave diffraction by a semi-infinite grating,” IEEE Trans. Fund. Mater., vol. 121, pp. 905–910, 2001, https://doi.org/10.1541/ieejfms1990.121.10_905.Search in Google Scholar

[34] F. Capolino and M. Albani, “Truncation effects in a semi-infinite periodic array of thin strips: a discrete Wiener–Hopf formulation,” Radio Sci., vol. 44, pp. 1–14, 2009, https://doi.org/10.1029/2007rs003821.Search in Google Scholar

[35] M. Kaliberda, L. Lytvynenko, and S. Pogarsky, “Method of singular integral equations in diffraction by semi-infinite grating: H-polarization case,” Turk. J. Electr. Eng. Comput. Sci., vol. 25, pp. 4496–4509, 2017, https://doi.org/10.3906/elk-1703-170.Search in Google Scholar

[36] M. E. Kaliberda, L. M. Lytvynenko, and S. A. Pogarsky, “Electromagnetic interaction of two semi-infinite coplanar gratings of flat PEC strips with arbitrary gap between them,” J. Electromagn. Waves Appl., vol. 33, pp. 1557–1573, 2019, https://doi.org/10.1080/09205071.2019.1615996.Search in Google Scholar

[37] G. I. Koshovy, “Electromagnetic wave scattering by strip systems with a variable fractal dimension,” Telecommun. Radio Eng., vol. 67, pp. 1321–1331, 2008, https://doi.org/10.1615/telecomradeng.v67.i15.10.Search in Google Scholar

[38] G. I. Koshovy, “Scattering of H-polarized waves by pre-fractal diffraction gratings,” Telecommun. Radio Eng., vol. 71, pp. 961–973, 2012, https://doi.org/10.1615/telecomradeng.v71.i11.10.Search in Google Scholar

[39] E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford University Press, 1948.Search in Google Scholar

[40] E. A. Guillemin, Communication Network, London, John Wiley and Sons, 1935.Search in Google Scholar

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