This paper clarifies the controversial issue over 40 years between the quantum approach by Pekar and the phenomenological
approach by Ginzburg about the exciton-polariton spatial dispersion theory. For an isotropic nongyrotropic medium, the analytical
explicit function of the impermeability tensor
hij (w,\mathop k® )\eta _{ij} (\omega ,\mathop k\limits^ \to )
(the inverse of the permittivity tensor) is obtained from the anisotropic undamped-wave harmonic oscillator model. After
expanding
hij (w,\mathop k® )\eta _{ij} (\omega ,\mathop k\limits^ \to )
with respect to small parameters within it rather than to wavevector
\mathop k®\mathop k\limits^ \to
, the approximate refractive indices can be determined from the eigenvalue equation. By this treatment, the phenomenological
approach is proved to be the approximation of the quantum approach near the resonance frequency. The condition for the approximation
is discussed.
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From Neorganicheskie Materialy, Vol. 41, No. 5, 2005, pp. 635–639.
Original English Text Copyright © 2005 by Qi Guo, Sien Chi.
This article was submitted by the authors in English.
An erratum to this article is available at http://dx.doi.org/10.1134/S0020168506010213.