Abstract
We investigate the dielectric properties of narrow-band-gap ${\mathrm{Hg}}_{1\mathrm{\ensuremath{-}}\mathit{x}}$${\mathrm{Cd}}_{\mathit{x}}$Te under the resonant condition of the band gap ${\mathit{E}}_{\mathit{g}}$ matching the longitudinal-optic (LO) phonon energy \ensuremath{\Elzxh}${\mathrm{\ensuremath{\omega}}}_{\mathrm{L}}$. The effect of interband transitions, which are now also induced by LO phonons, is to renormalize the mixed LO-phonon--plasmon mode downward in energy by \ensuremath{\sim}20%. We evaluate the gain in the mixed mode under conditions of population inversion and find that the stimulated emission of the LO-phonon--plasmon mixed mode from electron-hole recombination requires a pumping level of about 1--10 kW/${\mathrm{cm}}^{2}$. The feasibility of a stimulated-LO-phonon-emission laser is considered.
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