Title

A Model Cylindrical Magnetron Vlasov Distribution Function

Authors

Authors

D. J. Kaup;S. R. Choudhury

Comments

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Abbreviated Journal Title

Phys. Plasmas

Keywords

NEUTRAL ELECTRON FLOW; PLANAR DIODE; STABILITY PROPERTIES; FIELD; INSTABILITY; Physics, Fluids & Plasmas

Abstract

The analysis of the planar magnetron Vlasov distribution function [Phys. Fluids 31, 2362 (1988)] is extended to the cylindrical case. In momentum space, the model distribution function is f(w,p(theta)) = Ne(-betaww)e-(OMEGAbetatheta/4p0)(ptheta-p0)2 where w(p(theta)) is the single particle energy (angular momentum), beta(w)(beta(theta)) is the inverse of the thermal energy associated with variations in w(p(theta)), p0 is the angular momentum at the cathode, and OMEGA is the electron cyclotron frequency (= eB0/mc). The problem is shown to be too ''stiff '' numerically to permit a pure numerical solution even using very high accuracy and state-of-the-art numerical schemes. It is shown that one may use a global singular perturbation expansion, similar to, but significantly more complex than the one used in the planar case, to solve the resulting nonlinear ordinary differential equation for the spatial dependence of the distribution function, density, electrostatic potential, and drift velocity.

Journal Title

Physics of Plasmas

Volume

1

Issue/Number

10

Publication Date

1-1-1994

Document Type

Article

Language

English

First Page

3437

Last Page

3443

WOS Identifier

WOS:A1994PL63000030

ISSN

1070-664X

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