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A Theory of Nonlinear Ultrasonic Wave Amplification in Piezoelectric Semiconductors
Author(s) -
Wonneberger W.
Publication year - 1970
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.19700400114
Subject(s) - piezoelectricity , nonlinear system , semiconductor , amplitude , acoustics , physics , harmonic , saturation (graph theory) , ultrasonic sensor , modulation (music) , condensed matter physics , optics , optoelectronics , quantum mechanics , mathematics , combinatorics
A theory of nonlinear acoustoelectric wave amplification in an active piezoelectric semiconductor is presented assuming a sinusoidal piezoelectric potential. An analytic solution is obtained for the complex amplitudes of the electron density modulation. From this closed expressions for the nonlinear gain, the renormalized sound velocity, the harmonic generation, and the current saturation are derived and discussed.