Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-25T17:10:19.040Z Has data issue: false hasContentIssue false

Influence of an external magnetic field on the dispersion properties of surface waves in the 1-D periodic biaxial metamaterial

Published online by Cambridge University Press:  05 June 2014

Illia Fedorin*
Affiliation:
Department of materials for electronics and solar cells, National Technical University “Kharkiv Polytechnic Institute”, 21 Frunze str., 61002 Kharkiv, Ukraine Department of Solid-State Radiophysics, O.Ya. Usikov Institute for Radiophysics and Electronics of the NASU, 12 Ak. Proskura str., 61085 Kharkiv, Ukraine
Vladislava Baibak
Affiliation:
Department of Solid-State Radiophysics, O.Ya. Usikov Institute for Radiophysics and Electronics of the NASU, 12 Ak. Proskura str., 61085 Kharkiv, Ukraine
Aleksey Bulgakov
Affiliation:
Department of Solid-State Radiophysics, O.Ya. Usikov Institute for Radiophysics and Electronics of the NASU, 12 Ak. Proskura str., 61085 Kharkiv, Ukraine
*
Get access

Abstract

This paper analyzes surface waves (SW) supported by a biaxial metamaterial layer placed between two semi-infinite isotropic media. The metamaterial fabricated by periodic alternating semiconductor and dielectric layers and subjected to an external magnetic field. The magnetic field is applied parallel to the layers. We consider such structure in the long-wave limit so that we apply the effective medium theory to describe the electrodynamic properties. The necessary conditions of SW existence were found in terms of anisotropy of the structure. The dependences of penetration depth and attenuation constant (AC) of SW on the external magnetic field and thicknesses of the layers were examined analytically and numerically.

Type
Research Article
Copyright
© EDP Sciences, 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Yeh, P., Optical Waves in Layered Media (Wiley, New York, 1988)Google Scholar
Collin, R.E., Field Theory of Guided Waves (IEEE Press, New York, 1991)Google Scholar
Engheta, N., Ziolkowski, R., Metamaterials: Physics and Engineering Explorations (Wiley-IEEE Press, Piscataway, NJ, 2006)CrossRefGoogle Scholar
Markos, P., Soukoulis, C.M., Wave Propagation: From Electrons to Photonic Crystals and Left-Handed Materials (Princeton University Press, New Jersey, 2008)CrossRefGoogle Scholar
Bass, F., Bulgakov, A., Kinetic and Electrodynamic Phenomena in Classical and Quantum Semiconductor Superlattices (Nova Sci., New York, 1997)Google Scholar
Grzegorczyk, T.M., Kong, J.A., J. Electromagn. Waves Appl. 20, 2053 (2006)CrossRef
Reinhard, B., Paul, O., Beigang, R., Rahm, M., Opt. Lett. 35, 1320 (2010)CrossRef
Ziolkowski, R.W., Heyman, E., Phy. Rev. E 64, 056625 (2001)CrossRef
Bulgakov, A.A., Girich, A.A., Khodzitsky, M.K., Shramkova, O.V., Tarapov, S.I., J. Opt. Soc. Am. B 26, B156 (2009)CrossRef
Baccarelli, P., Burghignoli, P., Frezza, F., Galli, A., Lampariello, P., Lovat, G., Paulotto, S., IEEE Trans. Microw. Theory Tech. 53, 1431 (2005)CrossRef
Han, J., Lakhtakia, A., Qiu, C.W., Opt. Express 16, 14390 (2008)CrossRef
Tarapov, S.I., Belozorov, D.P., Low Temp. Phys. 38, 603 (2012)CrossRef
Caloz, C., Itoh, T., Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications (Wiley-IEEE Press, Piscataway, NJ, 2005)CrossRefGoogle Scholar
Caloz, C., Itoh, T., IEEE Trans. Antennas Propag. 52, 1159 (2004)CrossRef
Escobar, M.A., Berthome, M., Ma, C., Liu, Z., Appl. Opt. 49, A18 (2010)CrossRef
Watts, C.M., Liu, X., Padilla, W.J., Adv. Mater. 24, OP98 (2012)
Agranovich, V.M., Mills, D.L., Surface Polaritons. Electromagnetic Waves at Surfaces and Interfaces (North-Holland, Amsterdam, 1982)Google Scholar
Hibbins, A.P., Evans, B.R., Sambles, J.R., Science 308, 670 (2005)CrossRef
Pendry, J.B., Martin-Moreno, L., Garcia-Vidal, F.J., Science 305, 847 (2004)CrossRef
Baccarelli, P., Burghignoli, P., Lovat, G., Paulotto, S., IEEE Antennas Wireless Propag. Lett. 2, 269 (2003)CrossRef
Mirhadi, S., Hessari, M.K., in PIERS Proc, Beijing, China, 2009, pp. 672676
Mirhadi, S., Hessari, M.K., in PIERS Proc, Moscow, Russia, 2009, pp. 7378
Reinhard, B., Paul, O., Beigang, R., Rahm, M., Opt. Lett. 35, 1320 (2010)CrossRef
Schuchinsky, A.G., Yan, X., Eur. Phys. J. Appl. Phys. 46, 32605 (2009)CrossRef
Darmanyan, S.A., Neviere, M., Zakhidov, A.A., Opt. Commun. 225, 233 (2003)CrossRef
Nefedov, I.S., Soloviev, A.S., Tarot, A.C., Abdouni, W., Eur. Phys. J. Appl. Phys. 46, 32606 (2009)CrossRef
Iorsh, I.V., Belov, P.A., Zharov, A.A., Shadrivov, I.V., Kivshar, Yu.S., Phys. Rev. A 86, 023819 (2012)CrossRef
Fedorin, V., Bulgakov, A.A., in Proc. Metamaterials, St. Petersburg, Russia, 2012, pp. 288290
Zapata-Rodríguez, C.J., Miret, J.J., Vuković, S., Belić, M.R., Opt. Express 21, 19113 (2013)CrossRef
Guo, Y., Newman, W., Cortes, C.L., Jacob, Z., Adv. OptoElectron. 2012, 1 (2012)CrossRef
Bulgakov, A.A., Shramkova, O.V., Semiconductors 34, 686 (2000)CrossRef
Fedorin, I., Bulgakov, A., in Proc. 42-nd European Microwave Conf, Amsterdam, The Netherlands, 2012, pp. 12291232
Bulgakov, A.A., Shramkova, O.V., IEEE Trans. Microw. Theory Tech. 58, 2152 (2010)CrossRef
Bulgakov, A., Fedorin, I., Tech. Phys. 56, 510 (2011)CrossRef
Baibak, V.V., Fedorin, I.V., Bulgakov, A.A., PIER M 32, 229 (2013)CrossRef
Bulgakov, A.A., Fedorin, I.V., Phys. Solid State 54, 1566 (2012)CrossRef
Tschikin, M., Biehs, S.-A., Messina, R., Ben-Abdallah, P., J. Opt. 15, 105101 (2013)CrossRef