Light Dispersion in Diamond-like Crystals
Journal of Photonic Materials and Technology
Volume 5, Issue 1, June 2019, Pages: 16-23
Received: May 2, 2019; Accepted: Jun. 3, 2019; Published: Jun. 18, 2019
Views 124      Downloads 18
Author
Vladimir Rumyantsev, Department of Theory of Complex Systems Dynamic Properties, A. A. Galkin Institute for Physics & Engineering, Donetsk, Ukraine; Mediterranean Institute of Fundamental Physics, Rome, Italy
Article Tools
Follow on us
Abstract
Dispersion of light in diamond-like crystals is investigated. Dispersion laws of exciton polaritons in this structures, which (apart from the diamond itself) include silicon and germanium is obtained within the quasi-molecular model of valent crystals. Dispersion curves point to the fact that in the vicinity of exciton resonance under small damping one must account for the exciton-photon interaction. The calculation shows that in a certain frequency range the existence of an additional light wave is possible. The dispersion laws of exciton polaritons in a diamond-like structure in the vicinity of frequency of the lowest dipole transition of a crystalline quasi-molecule (a σ-bond) are obtained.
Keywords
Diamond-like Crystals, Light Dispersion, Exciton Polaritons
To cite this article
Vladimir Rumyantsev, Light Dispersion in Diamond-like Crystals, Journal of Photonic Materials and Technology. Vol. 5, No. 1, 2019, pp. 16-23. doi: 10.11648/j.jmpt.20190501.14
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
References
[1]
V. A. Fock, “Application of twoelectron functions in the theory of chemical bond”, Dokl. Akad. Nauk SSSR, v. 73, No. 4, pp. 735-739, 1950
[2]
K. B. Tolpygo. “Two-center wave functions in the theory of valence crystals”, Physics of the Solid State, v. 17, No. 6, pp. 1769-1779, 1975.
[3]
Y. W. Yang, P. Copens, “On the experimental electron distribution in silicon”, Sol. St. Com., v. 15, No. 9, pp. 1555-1559, 1974.
[4]
W. A. Reed, P. Eisenberger, “Gamma-ray Compton profiles of diamond, silicon and germanium”, Phys. Rev. B, v. 6, pp. 4596-4604, 1972.
[5]
I. M. Reznik, “Valence electron density in crystals of group IV elements”, Physics of the Solid State, v. 19, No. 7. pp. 1983-1986, 1977.
[6]
I. M. Reznik, “Adiabatic potential of diamond-like semiconductors in quasi-molecular model”, Physics of the Solid State, v. 19, No. 2, pp. 463-468, 1977.
[7]
K. B. Tolpygo. “Propagation of light in a crystal as a delayed transmission of excitation of its atoms”, Ukrainian Journal of Physics, v. 31, No. 2, pp. 178-187, 1986.
[8]
V. V. Rumyntsev, “Dispersion of exciton polaritons in atomic cryocrystals”, Ukrainian Journal of Physics, v. 35, No. 12, pp. 1783-1791, 1990.
[9]
V. V. Rumyntsev, “Interaction of Electromagnetic Radiation and Light Particles with Imperfect Crystalline Media”, Nord-Press: Donetsk, 2006. 347p. [in Russian].
[10]
P. P. Ewald, “Die Berechnung optischer und elektrostatischer Getterpotentiale”, Ann. Phys. Bd. 64, No. 4, S. 253-287, 1921.
[11]
J. A. Van Vechten, R. M. Martin, “Calculation of local effective field: optical spectrum of diamond”, Phys. Rev. Lett., v. 28, No. 7, pp. 446-449, 1972.
[12]
W. Hanke, L. J. Sham, “Local field and excitonic effects in the optical spectrum of a covalent crystal”, Phys. Rev. No. 10, pp. 4501-4511, 1975.
[13]
V. V. Rumyntsev, “Optical anisotropy of atomic cryocrystals in the vicinity of exciton resonance”, Crystallography Reports, v. 36, No. 6, pp. 1346-1351, 1991.
[14]
K. B. Tolpygo, V. M. Shatalov, “The no-current excitation states in homopolar semiconductors”, Ukrainian Journal of Physics, v. 20, No. 9, pp. 1476-1483, 1975.
[15]
V. V. Rumyntsev, “Optical anisotropy and additional light waves in diamond structure crystals”, Ukrainian Journal of Physics, v. 34, No. 9, pp. 1316-1321, 1989.
[16]
P. Tighineanu, A. S. Sørensen, S. Stobbe and P. Lodahl, “The Mesoscopic Nature of Quantum Dots in Photon Emission”/ P. Michler (Ed.), “Quantum Dots for Quantum Information Technologies. Nano-Optics and Nanophotonics”, Cham: Springer, pp. 165-198, 2017.
[17]
Yuri Pivovarenko, “Laser-Induced Fluorescence of Wet Porous Silicon as Laser-Induced Fluorescence of H3O+”, Journal of Photonic Materials and Technology, v. 5 (1), pp. 11-15, 2019.
[18]
V. V. Rumyntsev, S. A. Fedorov, K. V. Gumennyk, D. A. Gurov, A. V. Kavokin, “Effects of elastic strain and structural defects on slow light modes in a one-dimensional array of microcavities”, Superlattices and Microstructures, v. 120, pp. 642-649, 2018.
[19]
V. V. Rumyantsev, “Dispersion of electromagnetic excitations in a non-ideal lattice of coupled microcavities containing quantum dots”, J. Laser Opt, Photonics, v. 5, p. 38, 2018.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186