Email this article Mathematical models of chiral metamaterials based on multi-turned conductive elements
- Authors: Aralkin M.1, Dement’ev A.2, Osipov O.3
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Affiliations:
- The Military Academy of Strategic Rocket Troops after Peter the Great
- MIREA – Russian Technological University
- Povolzhskiy State University of Telecommunications and Informatics
- Issue: Vol 23, No 1 (2020)
- Pages: 8-19
- Section: Articles
- URL: https://journals.ssau.ru/pwp/article/view/7809
- DOI: https://doi.org/10.18469/1810-3189.2020.23.1.8-19
- ID: 7809
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Abstract
The paper considers mathematical models of metamaterials based on a combination of multi-turned conductive elements, such as helices and gammadions. Analytical expressions are obtained for the resonant frequencies of these elements and relations for material parameters are determined using by the Maxwell Garnett model taking into account the metamaterials dispersion. The propagation constants of circular polarizations waves in these metamaterials are determined. As an example of the constructed mathematical models using, the solution of the problem of reflection of a plane linearly polarized electromagnetic wave from a planar layer of metamaterial, which is a matrix of fine-wire perfectly conducting elements in the form of N mutually orthogonal spirals is considered. The problem was solved by the partial domains method and its solution was reduced to a system of linear algebraic equations for unknown reflection and transmission coefficients of the main and cross-polarized field components. As a result of mathematical modeling, the frequency and polarization-selective properties of investigated metamaterials were revealed.
About the authors
M.V. Aralkin
The Military Academy of Strategic Rocket Troops after Peter the Great
Author for correspondence.
Email: aralkin_mv@inbox.ru
A.N. Dement’ev
MIREA – Russian Technological University
Email: dementev_2001@mail.ru
O.V. Osipov
Povolzhskiy State University of Telecommunications and Informatics
Email: o.osipov@psuti.ru
References
- Capolino F. Theory and Phenomena of Metamaterials. Boca Raton: Taylor & Francis – CRC Press, 2009, 992 p. Engheta N., Ziolkowski R.W. Metamaterials: Physics and Engineering Explorations. Hoboken: Wiley, 2006, 414 p. Lindell I.V. et al. Electromagnetic Waves in Chiral and Bi-Isotropic Media. London: Artech House, 1994, 291 p. Lakhtakia A., Varadan V.K., Varadan V.V. Time-Harmonic Electromagnetic Fields in Chiral Media. Lecture Notes in Physics. Berlin: Springer-Verlag, 1989, 121 p. Neganov V.A., Osipov O.V. Reflective, Waveguide and Radiating Elements with Chiral Structure. Moscow: Radio i svjaz’, 2006, 280 p. [In Russian].Tret’jakov S.A. Electrodynamics complex media: chiral, biizotropnye and some materials bianisotropic. Radiotehnika i elektronika, 1994, vol. 39, no. 10, pp. 1457–1470. (In Russ.)Lakhtakia A. On the Maxwell-Garnett model of chiral composites. Journal of Materials Research, 1993, vol. 8, no. 4, pp. 917–922. DOI: https://doi.org/10.1557/JMR.1993.0917.Tretyakov S.A. et al. Artificial Tellegen particle. Electromagnetics, 2003, vol. 23, no. 8, pp. 665–680. DOI: https://doi.org/10.1080/02726340390244789.Prosvirnin S., Zheludev N. Polarization effects in diffraction of light on a planar chiral structure. Phys. Rev. E, 2005, vol. 71, no. 3, pp. 037603. DOI: https://doi.org/10.1103/PhysRevE.71.037603.Osipov O.V., Plotnikov A.M., Salimova N.R. Using the azimuthal scattering effect of electromagnetic waves on the basis of meta-elements in Telledzhena application problems of electrodynamics. Infokommunikatsionnye tehnologii, 2012, vol. 10, no. 1, pp. 8–15. [In Russian].Kljuev D.S. et al. Investigation electromagnetic characteristics chiral metamaterial-based thin-wire perfectly conducting elements in the form of mutually orthogonal coils. Physics of Wave Processes and Radio Systems, 2017, vol. 20, no. 1, pp. 4–10. URL: https://journals.ssau.ru/index.php/pwp/article/view/7101. (In Russ.)Semchenko I.V., Tretyakov S.A., Serdyukov A.N. Research on chiral and bianisotropic media in Byelorussia and Russia in the last ten years. Progress in Electromagnetics Research, 1996, vol. 12, pp. 335–370. URL: http://www.jpier.org/PIER/pier.php?paper=941128.
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