Journal ArticleDOI
Ultrasonic Harmonic Generation in Piezoelectric Semiconductors
Chhi-Chong Wu,Harold N. Spector +1 more
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TLDR
In this article, the amplitude of the second harmonic can be expressed in terms of the fundamental using the linear and nonlinear conductivity tensors, which is valid at high frequencies and in strong magnetic fields.Abstract:
Second‐harmonic generation of ultrasound in piezoelectric semiconductors is investigated using a quantum treatment which is valid at high frequencies and in strong magnetic fields. The effects of collisions are neglected so that our treatment is valid only for ql≫1. It is shown that the amplitude of the second harmonic can be expressed in terms of the fundamental using the linear and nonlinear conductivity tensors. The latter quantities are related to the current densities which are linear and nonlinear in the piezoelectric fields generated by the ultrasound. The linear and nonlinear conductivities are calculated using the parabolic and nonparabolic models for the energy bands of a semiconductor. It is found that only those sound waves which induce longitudinal electric fields will contribute appreciably to second‐harmonic generation. For waves propagating parallel to a magnetic field, we find that the amplitude of the second harmonic is independent of the magnetic field for the parabolic model. It is also found that the acoustic flux in the second harmonic will peak at sound wave vectors of the order of the Debye wave vector. In contrast, for the nonparabolic model it is found that the amplitude of the second harmonic depends upon magnetic field. The results of the calculation are applied to n‐type InSb, and the magnitude of the second‐harmonic generation is estimated for ultrasonic frequencies in the microwave region. It is found that the magnitude of the second harmonic is considerably enhanced using the nonparabolic model over what would be predicted using the parabolic model.read more
Citations
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Influence of Acoustic Lattice Vibrations on Dynamical X‐Ray Diffraction
R. Köhler,W. Möhling,H. Peibst +2 more
TL;DR: In this paper, a dynamical X-ray diffraction theory for crystals with acoustic lattice vibrations is presented, where fundamental equations derived for the general case are specified to monochromatic vibrations of wavelengths shorter than the pendellosung distance taking into account higher harmonics.
Journal ArticleDOI
Evaluation of Acoustoelectric Wave Vectors and Amplitudes from X-Ray Diffraction Experiments
R. Köhler,W. Möhling,H. Peibst +2 more
TL;DR: In this paper, the authors analyzed diffraction phenomena in CdS crystals with acoustoelectrically generated lattice vibrations and evidence for the generation of a second harmonic is given.
Journal ArticleDOI
Three-Phonon Processes in Acousto-Electric Interaction
TL;DR: In this article, a study of frequency mixing effect of phonon interactions of acoustoelectric origin using the self-consistent field method is made, where the equation of motion of the lattice is transformed into a simple form which becomes identical with the dynamic equation for the wave amplitude in the theory of plasma turbulence.
Journal ArticleDOI
Spectrum of piezo-electrically amplified phonon in the 20 GHz range by X-ray scattering
TL;DR: In this article, the spectra of amplified phonons in Ga-As at 77 K for high applied fields is obtained and a maximum is found close to 20 GHz which is consistent with microscopic theory.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
FREQUENCY SPECTRUM OF GIANT ACOUSTIC WAVE PACKETS GENERATED IN CdS BY HIGH ELECTRIC FIELDS
J. Zucker,S. Zemon +1 more
TL;DR: Using light scattering and the photoelastic effect, the authors investigated the frequency spectrum of giant acoustic shear wave packets generated in semiconducting CdS by high electric fields, at least an order of magnitude lower than the predicted frequency for maximum net gain.
Journal ArticleDOI
Brillouin-Scattering Analysis of Phonon Interactions in Acoustoelectric Domains in GaAs
E. D. Palik,Ralph Bray +1 more
TL;DR: In this paper, the authors analyzed the growth of the ultrasonic flux from the thermal equilibrium phonon spectrum and particularly attenuation (after the amplifying voltage pulse was shut off) as a function of ultrasonic frequency in the broad range from 0.3 to 4.0 GHz at 300 \ifmmode^\circ\else\textdegree\fi{}K.
Journal ArticleDOI
Effect of Nonparabolic Band Structure on Longitudinal Magnetoacoustic Phenomena
Chhi-Chong Wu,Harold N. Spector +1 more
TL;DR: In this article, the effect of nonparabolic band structure on the propagation of ultrasound in a semiconductor such as $n$-type InSb in the presence of longitudinal magnetic fields is discussed using a quantum treatment which is valid at high frequencies and in strong magnetic fields.
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