Nonlinear Acoustoelectric Phenomena in Semiconductors.
Abstract
The theory of parametric amplification, with particular reference to subharmonic and second harmonic generation, is developed in terms of the linear and nonlinear electrical conductivity tensors. By using the Boltzmann equation formalism with a constant relaxation time ansatz, the conductivity tensors for a material having parabolic band structure are evaluated: (1) in the absence of external dc fields and in presence of three collinear acoustic waves of frequencies omega sub1, omega sub2, and omega sub3 such that omega sub3 = omega sub1 + omega sub2 and (2) in the presence of a d.c. magnetic field transverse to the direction of propagation of the acoustic wave. The conductivity tensors are also evaluated in the presence of a dc electric field parallel to the direction of propagation of the acoustic wave by using the quantum Liouville equation formalism in the absence of collisions.
 Publication:

Ph.D. Thesis
 Pub Date:
 1975
 Bibcode:
 1975PhDT........13J
 Keywords:

 Physics: Condensed Matter;
 Electroacoustic Waves;
 Semiconductors (Materials);
 Boltzmann Transport Equation;
 Conductivity;
 Harmonics;
 Liouville Equations;
 Parametric Amplifiers;
 Tensors;
 SolidState Physics