Abstract
The three-dimensional Gaussian beam transmission through a ferrite-semiconductor finely-stratified structure being under an action of an external static magnetic field in the Faraday geometry is considered. The beam field is represented by an angular continuous spectrum of plane waves. In the long-wavelength limit, the studied structure is described as a gyroelectromagnetic medium defined by the effective permittivity and effective permeability tensors. The investigations are carried out in the frequency band where the real parts of the on-diagonal elements of both effective permittivity and effective permeability tensors are close to zero while the off-diagonal ones are non-zero. In this frequency band the studied structure is referred to a gyrotropic-nihility medium. It is found out that a Gaussian beam keeps its parameters unchanged (beam width and shape) when passing through the layer of such a medium except of a portion of the absorbed energy.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The series \(\exp ({\mathbf{X}}) = {\mathbf{I}} + \sum\nolimits_{m = 1}^{\infty } {\frac{1}{m!}{\mathbf{X}}^{m} }\) converges for square matrices \({\mathbf{X}}\), i.e. function \(\exp ({\mathbf{X}})\) is defined for all square matrices [25].
References
A. Lakhtakia, An electromagnetic trinity from “negative permittivity” and “negative permeability”. Int. J. Infrared Millimeter Waves 22, 1731–1734 (2001)
S. Tretyakov, I. Nefedov, A.H. Sihvola, S. Maslovki, C. Simovski, Waves and energy in chiral nihility. J. Electromagn. Waves Appl. 17, 695–706 (2003)
C.-W. Qiu, N. Burokur, S. Zouhdi, L.-W. Li, Chiral nihility effects on energy flow in chiral materials. J. Opt. Soc. Am. A 25, 55–63 (2008)
V. Tuz, C.-W. Qiu, Semi-infnite chiral nihility photonics: parametric dependence, wave tunelling and rejection. Prog. Electromagn. Res. 103, 139–152 (2010)
V.R. Tuz, M.Y. Vidil, S.L. Prosvirnin, Polarization transformations by a magneto-photonic layered structure in the vicinity of a ferromagnetic resonance. J. Opt. 12, 095102 (2010)
E. Prati, Propagation in gyroelectromagnetic guiding systems. J. Electromagn. Waves Appl. 17, 1177–1196 (2003)
R.H. Tarkhanyan, D.G. Niarchos, Effective negative refractive index in ferromagnet-semiconductor superlattices. Opt. Express 14, 5433–5444 (2006)
A.V. Ivanova, O.A. Kotelnikova, V.A. Ivanov, Gyrotropic left-handed media: energy flux and circular dichroism. J. Magn. Magn. Mat. 300, e67–e69 (2006)
R.X. Wu, T. Zhao, J.Q. Xiao, Periodic ferrite–semiconductor layered composite with negative index of refraction. J. Phys. Condens. Matter 19, 026211 (2007)
O.V. Shramkova, Transmission spectra in ferrite-semiconductor periodic structure. Prog. Electromagn. Res. M 7, 71–85 (2009)
V.R. Tuz, O.D. Batrakov, Y. Zheng, Gyrotropic-nihility in ferrite-semi-conductor composite in Faraday geometry. Prog. Electromagn. Res. B 41, 397–417 (2012)
Yi Jin, Sailing He, Focusing by a slab of chiral medium. Opt. Express 13, 4974–4979 (2005)
S.N. Shulga, Two-dimensional wave beam scattering on an anisotropic half-space with anisotropic inclusion. Opt. Spectrosc. 87, 503–509 (1999)
A.V. Malyuskin, D.N. Goryushko, S.N. Shulga, A.A. Shmatko, in Scattering of a Wave Beam by Inhomogeneous Anisotropic Chiral Layer. International conference on mathematical methods EM theory (MMET 2002), Kyiv, Ukraine, pp. 566–568, 10–13 Sept 2002
T.M. Grzegorczyk, X. Chen, J. Pacheco Jr, J. Chen, B.-I. Wu, J.A. Kong, Reflection coefficients and Goos–Hänchen shifts in anisotropic and bianisotropic left-handed metamaterials. Prog. Electromagn. Res. 51, 83–113 (2005)
W.T. Dong, L. Gao, C.-W. Qiu, Goos-Hänchen shift at the surface of chiral negative refractive media. Prog. Electromagn. Res. 90, 255–268 (2009)
R.-L. Chern, P.-H. Chang, Negative refraction and backward wave in pseudochiral mediums: illustrations of Gaussian beams. Opt. Express 21, 2657–2666 (2013)
R.-L. Chern, P.-H. Chang, Negative refraction and backward wave in chiral mediums illustrations of Gaussian beams. J. Appl. Phys. 113, 153504 (2013)
K.M. Luk, A.L. Cullen, Three-dimensional Gaussian beam reflection from short-circuited isotropic ferrite slab. IEEE Trans. Antennas Propag. 41, 962–966 (1993)
V. Tuz, Three-dimensional Gaussian beam scattering from a periodic sequence of bi-isotropic and material layers. Prog. Electromagn. Res. B 7, 53–73 (2008)
A.G. Gurevich, Ferrites at Microwave Frequencies (Heywood, 1963)
R.E. Collin, Foundation for Microwave Engineering (Wiley, New York, 1992)
F.G. Bass, A.A. Bulgakov, Kinetic and Electrodynamic Phenomena in Classical and Quantum Semiconductor Superlattices (Nova Science, 1997)
G.A. Korn, T.M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review (McGraw-Hill Book Co., 1968)
V.A. Jakubovich, V.H. Starzhinskij, Linear Differential Equations with Periodic Coefficients (Wiley, New York, 1975)
A. Lakhtakia, C.M. Krowne, Restricted equivalence of paired epsilon-negative and mu-negative layers to a negative phase-velocity materials (alias left-handed material). Optik 114, 305–307 (2003)
V.G. Veselago, The electrodynamics of substances with simultaneously negative values of ε and μ. Sov. Phys. Usp. 10, 509–514 (1968)
V.V. Shevchenko, Forward and backward waves: Three definitions and their interrelation and applicability. Phys.-Usp. 50, 287–290 (2007)
Acknowledgments
This work was partially supported (V.R. Tuz) by Ministry of Education and Science of Ukraine under the Program “Electrodynamics of layered composites with chiral properties and multifunctional planar systems”, Project No. 0112 U 000561.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Tuz, V.R., Fesenko, V.I. (2016). Gaussian Beam Tunneling Through a Gyrotropic-Nihility Finely-Stratified Structure. In: Shulika, O., Sukhoivanov, I. (eds) Contemporary Optoelectronics. Springer Series in Optical Sciences, vol 199. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-7315-7_6
Download citation
DOI: https://doi.org/10.1007/978-94-017-7315-7_6
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-017-7314-0
Online ISBN: 978-94-017-7315-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)