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Criterion for Existence of the Negative Dielectric Reality in Crystals

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
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[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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    AU  - Georgii Felinskyi
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    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
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    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
  • Kyiv National Taras Shevchenko University, Faculty of Radiophysics, Electronics and Computer Systems, Kyiv, Ukraine

  • Kyiv National Taras Shevchenko University, Faculty of Radiophysics, Electronics and Computer Systems, Kyiv, Ukraine

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