The growth rate of Trivelpiece–Gould modes excited in a beam–plasma system

2001 ◽  
Vol 84 (4) ◽  
pp. 9-15
Author(s):  
Toshifumi Morimoto ◽  
Ichiro Mori
1984 ◽  
Vol 31 (2) ◽  
pp. 225-229 ◽  
Author(s):  
H. A. Shah ◽  
V. K. Jain

The excitation of whistler wave instability due to slow cyclotron (m = – 1) interaction in an inhomogeneous plasma penetrated by an inhomogeneous beam of electrons is studied. Expressions are obtained for the elements of the plasma and beam dielectric tensors. It is shown that the inhomogeneity in both beam and plasma number densities affects the growth rate of the instability.


2004 ◽  
Vol 22 (1) ◽  
pp. 89-94 ◽  
Author(s):  
D.N. GUPTA ◽  
A.K. SHARMA

A large amplitude Trivelpiece–Gould (TG) mode, in a strongly magnetized beam–plasma system, parametrically couples to a beam space charge mode and a TG mode sideband. The density perturbation associated with the beam mode couples with the electron oscillatory velocity, due to the pump wave, to produce a nonlinear current, driving the sideband. The pump and the sideband waves exert a ponderomotive force on the electrons with a component parallel to the ambient magnetic field, driving the beam mode. For a pump wave having k0·v0b0/ω0 < 0, where ω0, k0 are the frequency and the wave number of the pump, and v0b0 is the beam velocity, the sideband is frequency upshifted. At low beam density (Compton regime) the growth rate of the parametric instability scales as two-thirds power of the pump amplitude, and one-third power of beam density. In the Raman regime, the growth rate scales as half power of beam density and linearly with pump amplitude. The background plasma has a destabilizing role on the instability.


2018 ◽  
Vol 2018 (14) ◽  
pp. 669-672
Author(s):  
Qing Zhou ◽  
Shengpeng Yang ◽  
Changjian Tang ◽  
Yanyu Wei ◽  
Zhaoyun Duan ◽  
...  

1971 ◽  
Vol 27 (19) ◽  
pp. 1263-1266 ◽  
Author(s):  
J. Chang ◽  
M. Raether ◽  
S. Tanaka

1969 ◽  
Vol 27 (1) ◽  
pp. 187-197 ◽  
Author(s):  
Toshitaka Idehara ◽  
Kunizo Ohkubo ◽  
Shigetoshi Tanaka

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