Accession Number:

AD0602321

Title:

TWO-STREAM INSTABILITY IN A FINITE LENGTH,

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH

Personal Author(s):

Report Date:

1964-03-01

Pagination or Media Count:

56.0

Abstract:

Two contra-streaming electron beams of equal densities and speeds interacting between two parallel planes are studied. The streams are cold and their average charge is compensated by a uniform positive background. For infinitely broad streams, an eigenfrequency equation is derived from the conditions that the entering beams be free of perturbations. The eigenfrequency equation is solved numerically and the results show there is no instability for omega sub b tau pi232, where omega sub b is the plasma frequency of either beam, and tau is half the transit time between the plates. For large values of omega sub b tau, the fastest-growing modes have a growth rate of omega sub b2. The growth rate is also calculated from the dispersion relation assuming appropriate real values of wavenumber and is in good agreement with the exact results of the eigenfrequency equation. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE