Theoretical Physics

TP
>
Volume 5, Number 3, September 2020

Interaction of Electromagnetic Wave and Metamaterial with Inductive Type Chiral Inclusions
Download PDF (237.4
KB)PP.
23-32

, Pub. Date:November 16, 2020
DOI:

10.22606/tp.2020.53001
**Author(s)**
A. N. Volobuev

**Affiliation(s)**
Samara State Medical University. Department of Medical and Biological Physics

**Abstract**
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 in such substance can be investigated with the help of using 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 waves 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.

**Keywords**
metamaterial, chiral parameter, inductive inclusions, multiwave solution, standing waves

**References**
- [1] 1. Slusar V. Metamaterials in the antennas techniques: a history and main principles. Minsk, Electronics, NTB. 2009, No. 7, P. 70-79.
- [2] 2. Capolino F. Theory and Phenomena of Metamaterials. Boca Raton, Taylor & Francis, 2009. 992 p.
- [3] 3. Vendik I.B., Vendik O.G. Metamaterials and its Application in Technique of Ultrahigh Frequencies. S-Petersburg. Tech. Phys. 2013, V. 58, No. 1, P. 1-24.
- [4] 4. Davidovich M.V. Hyperbolic Metamaterials: Production, Properties, Applications, and Prospects. Uspekhi Fizicheskikh Nauk, 2019, V. 189, No. 12, Pp. 1249-1284.
- [5] 5. Neganov V.A., Osipov O.V. Reflecting, Waveguiding, and Emitting Structures with Chiral Elements. Moscow, Radio i Svyaz, 2006, 280 p.
- [6] 6. Katsenelenbaum B.Z., Korshunova E.N., Sivov A.N., Shatrov A.D. Chiral Electrodynamics Objects. Moscow, Uspekhi Fizicheskikh Nauk, 1997, V. 167, No. 11, Pp. 1201-1212.
- [7] 7. Volobuev A.N. Electrodynamics of Circular Dichroism and its Application in the Construction of a Circular Polaroid. S-Petersburg. Tech. Phys. 2016, V. 61, No. 3, P. 337-341.
- [8] 8. Levich V.G. Course of Theoretical Physics. V. 1. Moscow, Fizmatlit, 1962, 696 p.
- [9] 9. Volobuev A.N. The Nonlinear Analysis of Chiral Medium. Ed. Takashiro Akitsu “Chirality from Molecular Electronic Ststes”. IntechOpen. 2018. P. 1-10.
- [10] 10. Volobuev A.N. Spreading of Pulse of Electromagnetic Field in Dielectric for Conditions Self-Induced Transparency. Mathematical Models and Computer Simulations, 2006, V. 18, No. 3, P. 93-102.
- [11] 11. Volobuyev A.N., Zhukov B.N., Ovchinnikov Ye. L., Bakhito A.U., Trufanov L.A. Non-Linear Modelling of the Spread of an Action Potential. 1991. Pergamon Press. Biophysics. Vol. 36, No. 3, pp. 545-550.
- [12] 12. Volobuev A.N. Inductance-Capacitor Model of an Excitable Biotissue. Uspekhi sovremennoi radioelectroniki. 2006. No. 3, pp. 33-60.
- [13] 13. Condon E. Theory of optical rotating ability. Moscow, Uspekhi Fizicheskikh Nauk, 1938, V. 19, No. 3, Pp. 380-430.
- [14] 14. Volobuev A.N. Quantum Electrodynamics through the Eyes of a Biophysics. New York, Nova Science Publishers, Inc., 2017. 252 p.
- [15] 15. Volkenchtein M.V. Biophysics. S-Petersburg, Lan, 2008, 596 p.
- [16] 16. Ablowitz M.J., Segur H. Solitons, and the Inverse Scattering Transform. Philadelphia: SIAM, 1981.
- [17] 17. Dodd R.K., Eilbeck J.C., Gibbon J.D., Morris H.C. Solitons and Nonlinear Wave Equation. London, New York, Tokyo: Academic Press, Inc., 1984.
- [18] 18. Krasilnikov V.A., Krylov V.V. Introduction in physical acoustics. M.: Nauka, 1984. 403 p.
- [19] 19. Tikhonov A.N., Samarski A.A. Equipments of Mathematical Physics. Moscow, Nauka, 1972. 736 p.