Nonlinear Thoery of Ultrasonic Wave Amplification and Current Saturation in Piezoelectric Semiconductors

1968 ◽  
Vol 171 (3) ◽  
pp. 970-986 ◽  
Author(s):  
P. K. Tien
Keyword(s):  
Ultrasonic Wave ◽  
Wave Amplification ◽  
Current Saturation ◽  
Piezoelectric Semiconductors

scholarly journals Localized nonlinear waves in a semiconductor with charged dislocations

2021 ◽  
Vol 250 ◽  
pp. 03012
Author(s):  
Vladimir I. Erofeev ◽  
Anna V. Leonteva ◽  
Alexey O. Malkhanov ◽  
Ashot V. Shekoyan
Keyword(s):  
Electric Field ◽  
Evolution Equation ◽  
Ultrasonic Wave ◽  
Nonlinear Waves ◽  
Piezoelectric Properties ◽  
Exact Analytical Solution ◽  
Constant Electric Field ◽  
Ultrasonic Waves ◽  
Wave Dynamics ◽  
Piezoelectric Semiconductors

To describe a nonlinear ultrasonic wave in a semiconductor with charged dislocations, an evolution equation is obtained that generalizes the well-known equations of wave dynamics: Burgers and Korteweg de Vries. By the method of truncated decompositions, an exact analytical solution of the evolution equation with a kink profile has been found. The kind of kink (increasing, decreasing) and its polarity depend on the values of the parameters and their signs. An ultrasonic wave in a semiconductor containing numerous charged dislocations is considered. It is assumed that there is a constant electric field that creates an electric current. The situation is similar to the case of the propagation of ultrasonic waves in piezoelectric semiconductors, but in the problem under consideration, instead of the electric field due to the piezoelectric properties of the medium, the electric field of dislocations appears.

Ultrasonic Wave Amplification in Gaseous Plasmas

1968 ◽  
Vol 24 (5) ◽  
pp. 1186-1187 ◽  
Author(s):  
Kiyoshi Yatsui ◽  
Tohru Kobayashi ◽  
Yoshio Inuishi
Keyword(s):  
Ultrasonic Wave ◽  
Wave Amplification
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