ISSN Print: 0040-2508
ISSN Online: 1943-6009
Volume 79, 2020
Volume 78, 2019
Volume 77, 2018
Volume 76, 2017
Volume 75, 2016
Volume 74, 2015
Volume 73, 2014
Volume 72, 2013
Volume 71, 2012
Volume 70, 2011
Volume 69, 2010
Volume 68, 2009
Volume 67, 2008
Volume 66, 2007
Volume 65, 2006
Volume 64, 2005
Volume 63, 2005
Volume 62, 2004
Volume 61, 2004
Volume 60, 2003
Volume 59, 2003
Volume 58, 2002
Volume 57, 2002
Volume 56, 2001
Volume 55, 2001
Volume 54, 2000
Volume 53, 1999
Volume 52, 1998
Volume 51, 1997
Telecommunications and Radio Engineering
SINGULAR INTEGRAL EQUATIONS IN THZ PLANE WAVE SCATTERING BY GRAPHENE SEMI-INFINITE GRATING
M. E. Kaliberda
V. Karazin National University of Kharkiv, 4 Svobody Sq., Kharkiv 61022,
Leonid M. Lytvynenko
Institute of Radio Astronomy, National Academy of Sciences of Ukraine, 4 Mystetstv St., Kharkiv 61002, Ukraine
Sergey A. Pogarsky
V. Karazin National University of Kharkiv, 4 Svobody Sq., Kharkiv 61022, Ukraine
The H-polarized wave scattering by the semi-infinite grating of graphene strips in the THz frequency range is considered. Graphene strips are modeled as zero-thickness resistive surface with conductivity obtained from the Kubo's formalism. The scattered field is represented as a sum of the field of currents on the strips of infinite periodic grating and correction field. The singular integral equation with additional conditions is obtained. The frequency dependences of the scattered field, as well as field distribution are presented, and the influence of the correction currents is discussed.
Geim, K. and Novoselov, K.S., (2007) The rise of graphene, Nature Materials, 6(3), pp. 183-191.
Ju, L., Geng, B., Horng, J., Girit, C., Martin, M. et al., (2011) Graphene plasmonics for tunable terahertz metamaterials, Nature Nanotechnology, 6, pp. 630-634.
Yan, H., Li, X., Chandra, B., Tulevski, G. et al., (2012) Tunable infrared plasmonic devices using graphene/insulator stacks, Nature Nanotechnology, 7(5), pp. 330-334.
Shapoval, O.V. and Nosich, A.I., (2019) Bulk refractive-index sensitivities of the THz-range plasmon resonances on a micro-size graphene strip, Journal of Physics D: Applied Physics, 49(5), pp. 055105/8.
Tamagnone, M., Gomez-Diaz, J.S., Mosig, J.R., and Perruisseau-Carrier, J., (2012) Analysis and design of terahertz antennas based on plasmonic resonant graphene sheets, Journal of Applied Physics, 112(11), pp. 114915.
Xu, Z., Wu, D., Liu, Y., Liu, C., Yu, Z., Yu, L., and Ye, H., (2018) Design of a tunable ultra-broadband terahertz absorber based on multiple layers of graphene ribbons, Nanoscale Research Letters, 13(1), pp. 143-148.
Fel'd, Y.N., (1955) On infinite systems of linear algebraic equations connected with problems on semi-infinite periodic structures, Doklady AN USSR, 114, pp. 257-260, (in Russian)?.
Fel'd, Y.N., (1958) Electromagnetic wave diffraction by semi-infinite grating, J CommunTechnol El+, 3, pp. 882-889.
Zhang, B., Jornet, J.M., Akyldiz, I.F., and Wu, Z.-P, (2019) Mutual coupling reduction for ultra-dense multi-band plasmonic nano-antenna arrays using graphene-based frequency selective surface, IEEE Access, 7, pp. 33214-33225.
Kaliberda, M.E., Pogarsky, S.A., Lytvynenko, L.M., Ugrimova, A. et al., (2019) Waves scattering by graphene semi-infinite grating, Proc. of IEEE 2nd Ukraine Conference on Electrical and Computer Engineering Proceedings, pp. 98-101.
Hills, N.L. and Karp, S.N., (1965) Semi-infinite diffraction gratings-I, Communications on Pure and Applied Mathematics, 18, pp. 203-233.
Hills, N.L., (1965) Semi-infinite diffraction gratings-II Inward resonance, Communications on Pure and Applied Mathematics, 18, pp. 385-395.
Capolino, F. and Albani, M., (2009) Truncation effects in a semi-infinite periodic array of thin strips: a discrete Wiener-Hopf formulation, Radio Science, 44(2), pp. 1-14.
Nishimoto, M. and Ikuno, H., (1999) Analysis of electromagnetic wave diffraction by a semi-infinite strip grating and evaluation of end-effects, Progress in Electromagnetics Research, 23, pp. 39-58.
Nishimoto, M. and Ikuno, H., (2001) Numerical analysis of plane wave diffraction by a semi-infinite grating, IEEJ Transactions on Fundamentals and Materials, 121(10), pp. 905-910.
Shestopalov, V.P., Lytvynenko, L.M., Masalov, S.A. and Sologub, V.G., (1973) Wave Diffraction by Gratings, Kharkiv, Ukraine: Kharkiv State University Press, (in Russian).
Yevtushenko, F.O., Dukhopelnykov, S.V., and Nosich, A.I., (2020) H-polarized plane-wave scattering by a PEC strip grating on top of a dielectric substrate: analytical regularization based on the Riemann-Hilbert Problem solution, Journal of Electromagnetic Waves and Applications, 34(4), pp. 483-499.
Kaliberda, M., Lytvynenko, L., and Pogarsky S., (2017) Method of singular integral equations in diffraction by semi-infinite grating: H-polarization case, Turkish Journal of Electrical Engineering & Computer Sciences, 25, pp. 4496-4509.
Lytvynenko, L.M., Kaliberda, M.E., and Pogarsky, S.A., (2013) Wave diffraction by semi-infinite venetian blind type grating, IEEE Transactions on Antennas and Propagation, 61(12), pp. 6120.
Dukhopelnykov, S.V., Sauleau, R., Garcia-Vigueras, M., and Nosich, A.I., (2019) Combined plasmon-resonance and photonic-jet effect in the THz wave scattering by dielectric rod decorated with graphene strip, Journal of Applied Physics, 126, pp. 023104.
Gandel, Y.V., (2010) Boundary-value problems for the Helmholtz equation and their discrete mathematical models, Journal of Mathematical Sciences, 171, pp. 74-88.
Nosich, A.A. and Gandel, Y.V., (2007) Numerical analysis of quasioptical multireflector antennas in 2-D with the method of discrete singularities: E-wave case, IEEE Transactions on Antennas and Propagation, 55, pp. 399-406.
Koshovy, G.I., (2008) Electromagnetic wave scattering by strip systems with a variable fractal dimension, Telecommunications and Radio Engineering, 67(15), pp. 1321-1331.
Hanson, G.W., (2008) Dyadic Green's functions and guided surface waves for a surface conductivity model of graphene, Journal of Applied Physics, 103(6), pp. 064302.
Kaliberda, M.E., Lytvtnenko, L.M., and Pogarsky, S.A., (2016) Singular integral equations in diffraction problem by an infinite periodic strip grating with one strip removed, Journal of Electromagnetic Waves and Applications, 30(8), pp. 2411-2426.
Kaliberda, M., Lytvynenko, L. and Pogarsky, S., (2018) Simulation of infinite periodic graphene planar grating in the THz range by the method of singular integrale quations, Turkish Journal of Electrical Engineering & Computer Sciences, 26(4), pp. 1724-1735.
Guillemin, E.A., (1935) Communication Network, London: John Wiley and Sons.
Titchmarsh, E.C., (1948) Introduction to the Theory of Fourier Integrals, Oxford University Press.
Shapoval, O.V., Sauleau, R., and Nosich, A.I., (2011) Scattering and absorption of waves by flat material strips analyzed using generalized boundary conditions and Nystrom-type algorithm, IEEE Transactions on Antennas and Propagation, 59(9), pp. 3339-3346.
Shapoval, O.V., Gomez-Diaz, J.S., Perruisseau-Carrier, J., Mosig, J.R., and Nosich, A.I., (2013) Integral equation analysis of plane wave scattering by coplanar graphene-strip gratings in the THz range, IEEE Transactions on Terahertz Science and Technology, 3(5), pp. 666-674.
Articles with similar content:
AXISYMMETRIC ELECTROMAGNETIC EXCITATION OF A METALLIC DISCONE SCATTERER
Telecommunications and Radio Engineering, Vol.74, 2015, issue 7
D. B. Kuryliak, O. M. Sharabura
Surface Polaritons in the Finite Weakly Disordered Superlattice in the Quantizing Magnetic Field
Telecommunications and Radio Engineering, Vol.53, 1999, issue 9-10
N. N. Beletskii, Yu. V. Bludov
NORMAL AND ANOMALOUS DISPERSION OF WEAKLY NON-LINEAR LOCALIZED MODES IN A SLAB OF A LAYERED SUPERCONDUCTIVE MATERIAL
Telecommunications and Radio Engineering, Vol.77, 2018, issue 2
V. A. Yampol'skii, S. S. Apostolov, Z. А. Maizelis, A. A. Nikolaenko, A. A. Shmatko, D. V. Kadygrob
Waveguide-Dielectric Resonances in a Rectangular Waveguide with a Magnetized Ferrite Layer
Telecommunications and Radio Engineering, Vol.53, 1999, issue 9-10
V. N. Mizernik, N. I. Pyatak