Acoustoelectric AmplificationA Phonon-Laser Approach: Theory of a Single Acoustic Mode
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Acoustoelectric amplification in piezoelectric semiconductors can be profitably treated as the acoustic analog of a classical laser. The nonlinear acoustic gain and frequency pulling can be found by combining Maxwell's equations with the piezoelectric equations of state and solving the resulting system to third order in a perturbation expansion. Recent experimental findings (acoustic mode locking, etc.) encourage the use of such methods, which produce results analogous to those of the Lamb theory of a classical laser. We here present solutions for the case of a single acoustic mode. Diffusion effects are found to be important, especially near threshold. 1973 The American Physical Society.