Resonant diocotron instability non relativistic electron flow in a magnetron diode with a non uniform magnetic field

2014 ◽  
Author(s):  
A. A. Ivanov
Keyword(s):  
Magnetic Field ◽  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Electron Flow ◽  
Magnetron Diode ◽  
Diocotron Instability

A REALIZATION OF DYNAMIC GROUP FOR AN ELECTRON IN A UNIFORM MAGNETIC FIELD

2002 ◽  
Vol 11 (04) ◽  
pp. 265-271 ◽  
Author(s):  
SHISHAN DONG ◽  
SHI-HAI DONG
Keyword(s):  
Magnetic Field ◽  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Wave Functions ◽  
Matrix Elements ◽  
Eigenvalues And Eigenfunctions ◽  
Radial Wave ◽  
Creation And Annihilation Operators ◽  
The Matrix ◽  
Analytical Expressions

The eigenvalues and eigenfunctions of the Schrödinger equation with a non-relativistic electron in a uniform magnetic field are presented. A realization of the creation and annihilation operators for the radial wave-functions is carried out. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are evaluated for the matrix elements of different functions ρ2 and [Formula: see text].

Electron cyclotron masing and the force due to net stimulated bremsstrahlung in an electron cyclotron maser using a dilute non-relativistic electron beam

1988 ◽  
Vol 39 (2) ◽  
pp. 229-239 ◽  
Author(s):  
S. H. Kim
Keyword(s):  
Magnetic Field ◽  
Electron Beam ◽  
Electromagnetic Wave ◽  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Relativistic Electron Beam ◽  
Ponderomotive Force ◽  
Electron Cyclotron ◽  
Stimulated Emission ◽  
Cyclotron Maser

The amplification of an electromagnetic wave by net stimulated bremsstrahlung (the emission by stimulated bremsstrahlung minus the absorption by inverse bremsstrahlung) injected into a non-relativistic dilute electron beam travelling in a uniform magnetic field is considered. The d.c. ponderomotive force by net stimulated emission is calculated by using quantum kinetics. From the calculated ponderomotive force, the amplification of the intensity of the electromagnetic wave by the net stimulated bremsstrahlung is derived as a function of the relevant parameters of the electromagnetic wave and the electron beam. It is found that masing is possible when the perpendicular temperature of the electron beam is greater than its parallel temperature. It is shown that the efficiency of a practical gyrotron cannot be explained by the phase-bunching concept, and that simulated bremsstrahlung has nothing to do with any phase bunching.

Diocotron instability in presence of a cold plasma

1969 ◽  
Vol 3 (2) ◽  
pp. 149-153
Author(s):  
Aldo Nocentini
Keyword(s):  
Magnetic Field ◽  
Dielectric Constant ◽  
Uniform Magnetic Field ◽  
Cold Plasma ◽  
Charged Particles ◽  
Cylindrical Layer ◽  
Low Density ◽  
Diocotron Instability ◽  
The Stability

The influence of the presence of a low density, cold plasma on the stability against electrostatic perturbations of a cylindrical layer of charged particles moving in a uniform magnetic field is considered. It is shown that the influence of the plasma is important when the thickness of the layer is small, and the effect is stabilizing or destabilizing whether the dielectric constant of the plasma is smaller or larger than 1. In particular it is shown that the plasma can cause an unstable precession of the layer.

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