Criterion for Existence of the Negative Dielectric Reality in Crystals

Stanislav Felinskyi; Georgii Felinskyi

doi:doi:10.11648/j.ajmp.20140305.11

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Criterion for Existence of the Negative Dielectric Reality in Crystals

Stanislav Felinskyi, Georgii Felinskyi

Published in American Journal of Modern Physics (Volume 3, Issue 5)

Received: 20 August 2014 Accepted: 1 September 2014 Published: 20 September 2014

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Abstract

The real physical conditions of appearance the negative dielectric permittivity (DP) within frequency TL 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.

Published in	American Journal of Modern Physics (Volume 3, Issue 5)
DOI	10.11648/j.ajmp.20140305.11
Page(s)	195-201
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Negative Dielectric Permittivity, Metamaterials, Waves Reflection, Residual Ray Band

References

[1]	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.
[2]	V.M. Agranovich, Yu.N. Gartstein. “Spatial dispersion and negative refraction of light,” Physics  Uspekhi, vol. 49 no.10, pp.1051-1068, 2006.
[3]	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.
[4]	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)
[5]	J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science, vol. 312, pp.1780–1782, June 2006.
[6]	U. Leonhardt, “Optical conformal mapping,” Science, vol. 312, pp.1777–1780, June 2006.
[7]	A.V. Kildishev, V.M. Shalaev, Enabling transformation optics through metamaterials. Physics  Uspekhi, vol. 54, no.1, 2011.
[8]	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.
[9]	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.
[10]	J.B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett., vol. 85, pp. 3966-3969, 30 October 2000.
[11]	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.
[12]	Tatsumi Kurosawa, “Polarization waves in solids,” J. Phys. Soc. Jap., vol.16, no.7, pp. 1288-1308, 1961.
[13]	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.
[14]	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.
[15]	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.

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Stanislav Felinskyi, Georgii Felinskyi. (2014). Criterion for Existence of the Negative Dielectric Reality in Crystals. American Journal of Modern Physics, 3(5), 195-201. https://doi.org/10.11648/j.ajmp.20140305.11

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ACS Style

Stanislav Felinskyi; Georgii Felinskyi. Criterion for Existence of the Negative Dielectric Reality in Crystals. Am. J. Mod. Phys. 2014, 3(5), 195-201. doi: 10.11648/j.ajmp.20140305.11

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AMA Style

Stanislav Felinskyi, Georgii Felinskyi. Criterion for Existence of the Negative Dielectric Reality in Crystals. Am J Mod Phys. 2014;3(5):195-201. doi: 10.11648/j.ajmp.20140305.11

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@article{10.11648/j.ajmp.20140305.11,
  author = {Stanislav Felinskyi and Georgii Felinskyi},
  title = {Criterion for Existence of the Negative Dielectric Reality in Crystals},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {5},
  pages = {195-201},
  doi = {10.11648/j.ajmp.20140305.11},
  url = {https://doi.org/10.11648/j.ajmp.20140305.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140305.11},
  abstract = {The real physical conditions of appearance the negative dielectric permittivity (DP) within frequency TL 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.},
 year = {2014}
}

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TY  - JOUR
T1  - Criterion for Existence of the Negative Dielectric Reality in Crystals
AU  - Stanislav Felinskyi
AU  - Georgii Felinskyi
Y1  - 2014/09/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140305.11
DO  - 10.11648/j.ajmp.20140305.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 195
EP  - 201
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140305.11
AB  - The real physical conditions of appearance the negative dielectric permittivity (DP) within frequency TL 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.
VL  - 3
IS  - 5
ER  -

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Author Information

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

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Stanislav Felinskyi, Georgii Felinskyi. (2014). Criterion for Existence of the Negative Dielectric Reality in Crystals. American Journal of Modern Physics, 3(5), 195-201. https://doi.org/10.11648/j.ajmp.20140305.11

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ACS Style

Stanislav Felinskyi; Georgii Felinskyi. Criterion for Existence of the Negative Dielectric Reality in Crystals. Am. J. Mod. Phys. 2014, 3(5), 195-201. doi: 10.11648/j.ajmp.20140305.11

Copy | Download

AMA Style

Stanislav Felinskyi, Georgii Felinskyi. Criterion for Existence of the Negative Dielectric Reality in Crystals. Am J Mod Phys. 2014;3(5):195-201. doi: 10.11648/j.ajmp.20140305.11

Copy | Download

@article{10.11648/j.ajmp.20140305.11,
  author = {Stanislav Felinskyi and Georgii Felinskyi},
  title = {Criterion for Existence of the Negative Dielectric Reality in Crystals},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {5},
  pages = {195-201},
  doi = {10.11648/j.ajmp.20140305.11},
  url = {https://doi.org/10.11648/j.ajmp.20140305.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140305.11},
  abstract = {The real physical conditions of appearance the negative dielectric permittivity (DP) within frequency TL 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.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Criterion for Existence of the Negative Dielectric Reality in Crystals
AU  - Stanislav Felinskyi
AU  - Georgii Felinskyi
Y1  - 2014/09/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140305.11
DO  - 10.11648/j.ajmp.20140305.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 195
EP  - 201
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140305.11
AB  - The real physical conditions of appearance the negative dielectric permittivity (DP) within frequency TL 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.
VL  - 3
IS  - 5
ER  -

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