Abstract
A phenomenological theory of Raman scattering by the $q\ensuremath{\approx}0$ coupled plasmon-(LO) longitudinal-optical-phonon modes, which takes into account the electro-optic effect of the longitudinal electric fields associated with the coupled modes, is presented. Estimates of the scattering efficiency of the plasmon-like mode at high carrier densities, for which the major contribution comes from the electro-optic effect, are obtained using values of the electro-optic coefficient derived from second-harmonic light-generation data. For $n$-type GaAs with a carrier density of 3\ifmmode\times\else\texttimes\fi{}${10}^{18}$/${\mathrm{cm}}^{3}$, the scattering efficiency of the plasmon-like mode is found to be 1\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}5}$. The theoretical treatment is also applicable to Raman scattering by the collective cyclotron excitation modes of free carriers in a magnetic field and by their coupled modes with LO phonons.
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