KINETIC TREATMENT OF THE STABILITY OF A RELATIVISTIC PARTICLE BEAM PASSING THROUGH A PLASMA
The equilibrium configuration consists of a uniform particle beam of circular cross section and infinite extent streaming at highly relativistic velocity through a uniform, dense background plasma. The plasma is characterized by a scalar conductivity, and the beam is described by a collisionless Boltzmann equation in which a two mass approximation to the relativistic dynamics was made. The stability problem for this confiiniration is formulated as a set of three linear, coupled integral equations for three field variables (certain Hankel transforms of the perturbed electric field), and a formal solution of the equations is obtained by iteration. The dispersion relation appears as a solvability condition. The treatment gives a full account of the betatron orbits of the beam particles. Asymptotic results are obtained for low-frequency, long- wavelength disturbances and for high-frequency, highly localized disturbances. (auth)
- Research Organization:
- General Electric Co., Valley Forge, Penna.; Los Alamos Scientific Lab., N. Mex.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-18-003009
- OSTI ID:
- 4135054
- Journal Information:
- Physics of Fluids (U.S.), Journal Name: Physics of Fluids (U.S.) Vol. Vol: 6; ISSN PFLDA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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