Physics of Wave Processes and Radio SystemsPhysics of Wave Processes and Radio Systems1810-31892782-294XPovolzhskiy State University of Telecommunications and Informatics935310.18469/1810-3189.2021.24.2.22-31Research ArticleInteraction of electromagnetic wave and metamaterial with inductive type chiral inclusionsVolobuevAndrey N.<p>Doctor of Technical Sciences, Professor, Head of the Department of Medical Physics, Mathematics and Informatics</p>volobuev47@yandex.ruhttps://orcid.org/0000-0001-8624-6981AntipovaTatyana A.<p>Candidate of Physical and Mathematical Sciences, Docent of the Department of Medical Physics, Mathematics and Informatics</p>antipovata81@gmail.comhttps://orcid.org/0000-0002-7003-5909Adyshirin-ZadeKaira A.<p>Candidate of Pedagogical Sciences, Docent, Head Teacher of the Department of Medical Physics, Mathematics and Informatics</p>adysirinzade67@gmail.comhttps://orcid.org/0000-0003-3641-3678Samara State Medical University06092021242223106092021Copyright © 2021, Volobuev A., Antipova T., Adyshirin-Zade K.2021<p>The principle of calculation of a plate from a metamaterial with inductive type chiral inclusions is submitted. It is shown that distribution of an electromagnetic wave to such substance can be investigated with the help of introduction of a chiral parameter and on the basis of a detailed method of calculation. By comparison of two methods the dependence of chiral parameter from frequency of electromagnetic radiation falling on a plate is found. With the help of a detailed method the nonlinear differential equation for potential on the chiral plate is found. It is shown that this equation has solutions as traveling solitary and standing waves but not traveling sine waves. The analysis of the received solutions of the nonlinear equation is carried out. Transition from the multiwave solution to the solution as standing waves is graphically shown at reduction of distance between the chiral elements.</p>metamaterialchiral parameterinductive inclusionsmultiwave solutionstanding wavesметаматериалпараметр киральностииндуктивные включениямноговолновое решениестоячая волна[Sljusar V. Metamaterials in antenna technology: history and basic principles. Electronics: science, technology, business, 2009, no. 7, pp. 70–79. URL: https://www.electronics.ru/files/article_pdf/0/article_287_909.pdf][Capolino F. Theory and Phenomena of Metamaterials. Boca Raton: Taylor & Francis, 2009, 992 p.][Vendik I.B., Vendik O.G. Metamaterials and their application in microwave technology. ZhTF, 2013, vol. 83, no. 1, pp. 3–28. URL: https://journals.ioffe.ru/articles/41403 (In Russ.)][Davidovich M.V. Hyperbolic metamaterials: preparation, properties, applications, prospects. UFN, 2019, vol. 189, no. 12, pp. 1249–1284. DOI: https://doi.org/10.3367/UFNr.2019.08.038643 (In Russ.)][Neganov V.A., Osipov O.V. Reflective, Waveguiding and Radiating Structures with Chiral Elements. Moscow: Radio i svjaz', 2006, 280 p. (In Russ.)][Osipov O.V., Volobuev A.N. On the question of the physical meaning of the material equations of a chiral medium. Pis'ma v ZhTF, 2009, vol. 35, no. 16, pp. 28–33. URL: http://journals.ioffe.ru/articles/13948 (In Russ.)][Katsenelenbaum B.Z. et al. Chiral electrodynamic objects. UFN, 1997, vol. 167, no. 11, pp. 1201–1212. DOI: https://doi.org/10.3367/UFNr.0167.199711c.1201 (In Russ.)][Volobuev A.N. Electrodynamics of circular dichroism and the possibility of creating a circular polaroid on its basis. ZhTF, 2016, vol. 86, no. 3, pp. 20–24. URL: http://journals.ioffe.ru/articles/42904 (In Russ.)][Levich V.G. A Course in Theoretical Physics. T. 1. Moscow: Fizmatlit, 1962, 696 p. (In Russ.)][Volobuev A.N. Propagation of an electromagnetic field pulse in a dielectric under conditions of self-induced transparency. Matematicheskoe modelirovanie, 2006, vol. 18, no. 3, pp. 93–102. URL: http://mi.mathnet.ru/mm92 (In Russ.)][Volobuev A.N. Inductive-capacitive model of excitable biological tissue. Uspehi sovremennoj radioelektroniki, 2006, no. 3, pp. 33–60. (In Russ.)][Kondon E. Optical rotation theory. UFN, 1938, vol. 19, no. 3, pp. 380–430. DOI: https://doi.org/10.3367/UFNr.0019.193803d.0380 (In Russ.)][Vol'kenshtejn M.V. Biophysics. Saint Petersburg: Izdatel'stvo «Lan'», 2008, 596 p. (In Russ.)][Ablovits M., Sigur H. Solitons and the Method of the Inverse Problem / trans. from English. Moscow: Mir, 1987, 480 p. (In Russ.)][Dodd R. et al. Solitons and Nonlinear Wave Equations. Moscow: Mir, 1988, 696 p. (In Russ.)][Krasil'nikov V.A., Krylov V.V. Introduction to Physical Acoustics. Moscow: Nauka, 1984, 403 p. (In Russ.)][Tihonov A.N., Samarskij A.A. Equations of Mathematical Physics. Moscow: Nauka, 1972, 736 p. (In Russ.)]