On some effects of velocity distribution in electron streams-Reference-Cited by-同舟云学术

On some effects of velocity distribution in electron streams

Published:1954 Issue:2 Volume:12 Page:105-116
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Yadavalli S. V.

Abstract

Based on the Liouville theorem an integral equation is obtained for the solution of electron beam problems having a velocity spread. Assuming a rectangular velocity distribution (which is justified later) the integral equation is solved by Laplace Transforms to obtain the solution of the problems of small-signal velocity modulation in a drifting electron stream, and a drifting electron stream initially possessing full shot noise in each velocity class.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1954-12-02/S0033-569X-1954-64633-4/S0033-569X-1954-64633-4.pdf

Reference12 articles.

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2. On the kinetic theory of an assembly of particles with collective interaction;Vlasov, A.;Acad. Sci. USSR. J. Phys.,1945

3. On the vibrations of the electronic plasma;Landau, L.;Acad. Sci. USSR. J. Phys.,1946

4. D. A. Watkins, J.A.P. 23, 568 (1952).

5. A collective description of electron interactions. II. Collective vs individual particle aspects of the interactions;Bohm, David;Phys. Rev. (2),1952

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4. Noise on a Drifting Maxwellian Beam;Journal of Applied Physics;1963-02

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