American Journal of Modern Physics
Volume 3, Issue 5, September 2014, Pages: 195-201
Received: Aug. 20, 2014;
Accepted: Sep. 1, 2014;
Published: Sep. 20, 2014
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Stanislav Felinskyi, Kyiv National Taras Shevchenko University, Faculty of Radiophysics, Electronics and Computer Systems, Kyiv, Ukraine
Georgii Felinskyi, Kyiv National Taras Shevchenko University, Faculty of Radiophysics, Electronics and Computer Systems, Kyiv, Ukraine
The real physical conditions of appearance the negative dielectric permittivity (DP) within frequency TL splitting of polar vibrations in crystals are discussed in this paper. We have derived the simple quantitative criterion for the existence of negative DP band using single oscillation model. Our criterion is presented in three equivalent forms as inequalities between the fundamental crystal constants and spectroscopic parameters of polar vibration. Applicability of our theoretical results for multimode case is demonstrated using 7 known polar vibrations in the model crystal of boron nitride.
Criterion for Existence of the Negative Dielectric Reality in Crystals, American Journal of Modern Physics.
Vol. 3, No. 5,
2014, pp. 195-201.
V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of and μ,” Sov. Phys. Usp. vol.10, no,3, pp,509-514, 1968.
V.M. Agranovich, Yu.N. Gartstein. “Spatial dispersion and negative refraction of light,” Physics Uspekhi, vol. 49 no.10, pp.1051-1068, 2006.
V.G. Veselago, “Energy, momentum and mass transfer by an electromagnetic wave in a negative refraction medium,” Physics Uspekhi, vol. 52, no.6, pp. 689-694, 2009.
S. Ornes, “Metamaterials,” Proceedings of the National Academy of Sciences, vol. 110, no. 21 p. 8319, 2013 (http://www.pnas.org/content/110/21/8319)
J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science, vol. 312, pp.1780–1782, June 2006.
U. Leonhardt, “Optical conformal mapping,” Science, vol. 312, pp.1777–1780, June 2006.
A.V. Kildishev, V.M. Shalaev, Enabling transformation optics through metamaterials. Physics Uspekhi, vol. 54, no.1, 2011.
D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F.Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science, vol. 314, pp.977-980, November 2006.
R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, “Broadband ground-plane cloak,” Science, vol. 323, pp.366–369, January 2009.
J.B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett., vol. 85, pp. 3966-3969, 30 October 2000.
R. H. Lyddane, R. G. Sachs, E. Teller, “On the polar vibrations of alkali halides,” Phys. Rev., vol.59, no.8, pp. 673-676, 1941.
Tatsumi Kurosawa, “Polarization waves in solids,” J. Phys. Soc. Jap., vol.16, no.7, pp. 1288-1308, 1961.
Max Born and Kun Huang, “Experimental aspect of infra-red dispersion by ionic crystals,” pp.116-128, in Dynamical theory of crystal lattices. Oxford University Press, Amen House, London E.C.4, 1954.
A.S. Barker, R. Loudon, “Response functions in the theory of Raman scattering by vibrational and polariton modes in dielectric crystals,” Rev. Mod. Phys., vol.41, pp.18-47, January 1972.
S.V. Ordin, B.N. Sharupin , M.I. Fedorov, “Normal lattice oscillations and crystal structure of anisotopic modifications of boron nitride,” Semiconductors [Physics and Technics Semiconductors], vol. 32, no.9, pp. 1033-1042, 1998.