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Scattering of the H-polarized plane wave by finite and semi-infinite multilayer systems of infinite graphene strip gratings in the THz range

Published online by Cambridge University Press:  08 November 2019

Mstislav E. Kaliberda Open the ORCID record for Mstislav E. Kaliberda [Opens in a new window] ,
Leonid M. Lytvynenko  and
Sergey A. Pogarsky
Mstislav E. Kaliberda*
Affiliation:
V.N.Karazin Kharkiv National University, Kharkiv, Ukraine
Leonid M. Lytvynenko
Affiliation:
Institute of Radio Astronomy of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine
Sergey A. Pogarsky
Affiliation:
V.N.Karazin Kharkiv National University, Kharkiv, Ukraine
*
Author for correspondence: Mstislav E. Kaliberda, E-mail: [email protected]
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Abstract

We consider the scattering and absorption of the H-polarized plane wave by finite and semi-infinite systems of layers in the THz range. Every layer consists of an infinite graphene strip grating embedded into a dielectric slab. The solution of the problem we obtain in several steps. First, with the use of the method of singular integral equations we obtain scattering matrices of a single layer. Then, we present equations for the finite and semi-infinite systems of layers relatively the Fourier amplitudes of the scattered field. The frequency dependences of the reflection, transmission, and absorption coefficients demonstrate the variety of resonances: plasmon, slab-mode, grating-mode resonances, and resonances of the multilayer structure.

Keywords

GrapheneEM field theorymultilayer grating
Type
Research Papers
Information
International Journal of Microwave and Wireless Technologies , Volume 12 , Issue 5 , June 2020 , pp. 380 - 386
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2019

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References

1.Geim, K and Novoselov, KS (2007) The rise of graphene. Nature Materials 6, 183–191.CrossRefGoogle ScholarPubMed
2.Zhang, A-Q, Liu, Z-G, Lu, W-B and Chen, H (2019) Dynamically tunable attenuator on a graphene-based microstrip line. IEEE Transactions on Microwave Theory and Techniques 67, 746–753.CrossRefGoogle Scholar
3.Zhang, A-Q, Lu, W-B, Liu, Z-G, Wu, B and Chen, H (2019) Flexible and dynamically tunable attenuator based on spoof surface plasmon polaritons waveguide loaded with graphene. IEEE Transactions on Antennas and Propagation 67, 5582–5589.CrossRefGoogle Scholar
4.Nishad, AK and Sharma, R (2014) Analytical time-domain models for performance optimization of multilayer GNR interconnects. IEEE Journal of Selected Topics in Quantum Electronics 20, 17–24.CrossRefGoogle Scholar
5.Yasir, M, Bistarelli, M, Cataldo, A, Bozzi, M, Perregrini, L and Bellucci, S (2019) Tunable phase shifter based on few-layer graphene flakes. IEEE Microwave and Wireless Components Letters 29, 47–49.CrossRefGoogle Scholar
6.Tong, K, Wang, Y, Wang, F, Sun, J and Wu, X (2019) Surface plasmon resonance biosensor based on graphene and grating excitation. Applied Optics 58, 1824–1829.CrossRefGoogle ScholarPubMed
7.Chen, J, Xu, N, Zhang, A and Guo, J (2016) Using dispersion HIE-FDTD method to simulate the graphene-based polarizer. IEEE Transactions on Antennas and Propagation 64, 3011–3017.CrossRefGoogle Scholar
8.Xu, N, Chen, J, Wang, J, Qin, X and Shi, J (2017) Dispersion HIE-FDTD method for simulating graphene-based absorber. IET Microwaves, Antennas & Propagation 11, 92–97.CrossRefGoogle Scholar
9.Quhe, R, Ma, J, Zeng, Z, Tang, K, Zheng, J, Wang, Y, Ni, Z, Wang, L, Gao, Z, Shi, J and Lu, J (2013) Tunable band gap in few-layer graphene by surface adsorption. Scientific Reports 3, 1794.CrossRefGoogle Scholar
10.Pierantoni, L, Mencarelli, D, Bozzi, M, Moro, R, Moscato, S, Perregrini, L, Micciulla, F, Cataldo, A and Bellucci, S (2015) Broadband microwave attenuator based on few layer graphene flakes. IEEE Transactions on Microwave Theory and Techniques 63, 2491–2497.CrossRefGoogle Scholar
11.Maffucci, A, Micciulla, F, Cataldo, A, Miano, G and Bellucci, S (2016) Bottom-up realization and electrical characterization of a graphene-based device. Nanotechnology 27, 095204.CrossRefGoogle ScholarPubMed
12.Berman, OL, Boyko, VS, Kezerashvili, RY, Kolesnikov, AA and Lozovik, YE (2010) Graphene-based photonic crystal. Physics Letters. A 374, 4784–4786.CrossRefGoogle Scholar
13.Berman, OL and Kezerashvili, RY (2012) Graphene-based one-dimensional photonic crystal. Journal of Physics: Condensed Matter 24, 015305.Google ScholarPubMed
14.Tavakol, MR, Rahmani, B and Khavasi, A (2018) Tunable polarization converter based on one-dimensional graphene metasurfaces. Journal of the Optical Society of America B: Optical Physics 35, 2574–2581.CrossRefGoogle Scholar
15.Khavasi, A (2015) Design of ultra-broadband graphene absorber using circuit theory. Journal of the Optical Society of America B: Optical Physics 32, 1941–1946.CrossRefGoogle Scholar
16.Nayyeri, V, Soleimani, M and Ramahi, JM (2013) Wideband modeling of graphene using the finite-difference time-domain method. IEEE Transactions on Antennas and Propagation 61, 6107–6114.CrossRefGoogle Scholar
17.Kaliberda, M, Lytvynenko, L and Pogarsky, S (2018) Singular integral equations in diffraction by multilayer grating of graphene strips in the THz range. European Physical Journal Applied Physics 82, 21301.CrossRefGoogle Scholar
18.Zinenko, TL, Matsushima, A and Nosich, AI (2017) 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 Journal of Selected Topics in Quantum Electronics 23, 4601809.CrossRefGoogle Scholar
19.Zinenko, TL, Matsushima, A and Nosich, AI (2019) Terahertz range resonances of metasurface based on double grating of microsize graphene strips inside dielectric slab. Journal of Optics, (submitted).Google Scholar
20.Kaliberda, ME, Lytvynenko, LM and Pogarsky, SA (2019) Diffraction of the H-polarized plane wave by a finite layered graphene strip grating. International Journal of Microwave and Wireless Technologies 11, 326–333.CrossRefGoogle Scholar
21.Shao, Y, Yang, JJ and Huang, M (2016) A review of computational electromagnetic methods for graphene modelling. International Journal of Antennas and Propagation 2016, 7478621.CrossRefGoogle Scholar
22.Hanson, GW (2008) Dyadic Green's functions and guided surface waves for a surface conductivity model of graphene. Journal of Applied Physics 103, 064302.CrossRefGoogle Scholar
23.Hanson, GW (2008) Dyadic Green's functions for an anisotropic, non-local model of biased graphene. IEEE Transactions on Antennas and Propagation 56, 747–757.CrossRefGoogle Scholar
24.Kaliberda, M, Pogarsky, S and Lytvynenko, L (2019) Modeling of wave scattering by multilayer system of infinite graphene strip gratings using integral equations combined with operator method. IEEE 39th International Conference on Electronics and Nanotechnology, Kiev, Ukraine, pp. 181–184.CrossRefGoogle Scholar
25.Pogarsky, SA, Smirnova, K, Shcherbatiuk, E and Kaliberda, M (2019) THz waves scattering by multilayer system of infinite graphene strip gratings. European Microwave Conference in Central Europe, Prague, Czech Republic, pp. 477–480.Google Scholar
26.Zygmund, A (1959) Trigonometric Series I & II. Cambridge: Cambridge University Press.Google Scholar
27.Gandel, YV and Kononenko, AS (2006) Justification of the numerical solution of a hypersingular integral equation. Differential Equations 42, 1256–1262.Google Scholar
28.Nosich, AA, Gandel, YV, Magath, T and Altintas, A (2007) Numerical analysis and synthesis of 2D quasi-optical reflectors and beam waveguides based on an integral-equation approach with Nystrom's discretization. Journal of the Optical Society of America A: Optics and Image Science 25, 2831–2836.CrossRefGoogle Scholar
29.Lytvynenko, LM and Prosvirnin, SL (2012) Wave Diffraction by Periodic Multilayer Structures. Cambridge: Cambridge Scientific Publishers.Google Scholar