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Interaction of plasma and lattice waves in piezoelectric semiconductors
Author(s) -
Robson R. E.,
Paranjape B. V.
Publication year - 1973
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220590232
Subject(s) - dispersion relation , physics , plasma , plasma oscillation , lattice boltzmann methods , ion acoustic wave , electron , condensed matter physics , attenuation , waves in plasmas , boltzmann equation , lattice (music) , collision frequency , dusty plasma , quantum electrodynamics , atomic physics , mechanics , quantum mechanics , acoustics
The interactions between collective excitations of free electrons and holes with the lattice vibrations are investigated. Detailed calculations presented are valid in materials having piezoelectric properties. The dispersion relation is found using Boltzmann's equation for the plasma rather than the hydrodynamic equations previously used. The method followed is quite general, but is concentrated on the case where there is collisionless damping in the plasma. The case where damping of plasma waves is through collisions has been treated by Hutson and White [6]. The general formula gives their results in the limit of collision‐dominated plasma. In the collisionsless limit, it is shown that there is attenuation of lattice waves and that this reaches a maximum at a certain frequency. For frequencies slightly greater than the plasma frequency, it is shown that there can be a resonance between the optical vibrations of the plasma and the lattice waves, provided the temperature is low enough.