Linear dispersion relation of backward-wave oscillators with finite-strength axial magnetic field

2002 ◽  
Vol 30 (3) ◽  
pp. 1134-1146 ◽  
Author(s):  
K. Minami ◽  
M. Saito ◽  
Y. Choyal ◽  
K.P. Maheshwari ◽  
V.L. Granatstein
1984 ◽  
Vol 32 (1) ◽  
pp. 55-80 ◽  
Author(s):  
Z. G. An ◽  
Y. C. Lee ◽  
T. T. Lee ◽  
H. H. Chen

Electromagnetic cyclotron instabilities of a relativistic electron beam propagating in an external magnetic field are studied by considering electron motion inside a self-consistent electromagnetic field. When the number of electrons in a subgroup is greater than two, or when the phases are random, the linear dispersion relation obtained agrees with that of Chu et al. for a gyrotron in a ring model. When the number of electrons in a subgroup is limited to two only, the linear dispersion relation is different in that it has an instability threshold. Completely nonlinear motion is also studied using the method of Poincaré's return map, or by considering the departure rate of nearby trajectories. Stochasticity is observed in the nonlinear oscillation of the wave-particle system when a critical energy is exceeded. Physical implications for gyrotron operation are also discussed.


1996 ◽  
Vol 65 (12) ◽  
pp. 3835-3841 ◽  
Author(s):  
Kazuo Minami ◽  
Xiaodong Zheng ◽  
Masaaki Ota ◽  
Md. Ruhul Amin ◽  
Koji Tanaka ◽  
...  

2008 ◽  
Vol 74 (1) ◽  
pp. 107-110 ◽  
Author(s):  
P. K. SHUKLA

AbstractThe linear dispersion relation for compressional magnetoacoustic waves in a quantum magnetoplasma is derived, taking into account the quantum Bohm potential and the magnetization of electrons due to the electron-1/2 spin effect. It is found that the quantum forces produce the wave dispersion at quantum scales, which depend on the external magnetic field strength.


Author(s):  
Quentin Fontaine ◽  
Agostino Apra ◽  
Giovanni Lerario ◽  
Elisabeth Giacobino ◽  
Alberto Bramati ◽  
...  

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