Accession Number:

AD0603573

Title:

SMALL-SIGNAL NONLINEAR KLYSTRON WAVES.

Descriptive Note:

Technical note no. 3,

Corporate Author:

CHALMERS UNIV OF TECHNOLOGY GOTEBORG (SWEDEN)

Personal Author(s):

Report Date:

1964-03-01

Pagination or Media Count:

29.0

Abstract:

The report deals with the nonlinear aspects of space charge wave propagation along a velocity modulated, confined, solid electron beam of finite radial extension. The gridded modulation gap is infinitely short and the beam is surrounded by an infinitely well conducting concentric tunnel. Thus the system under study is a classic in the microwave art. Maxwells field equations and the nonlinear equation of electron motion are solved with the spatial boundary values properly taken into account. The method of successive approximations is used and the second order ac beam current, which is of the second harmonic frequency, is explicitly expressed. The results are numerically interpreted by the use of a computer and presented in the form of second harmonic beam current versus axial distance graphs for a number of parameter combinations of practical interest. These results are compared with those obtained analytically for a discelectron beam model. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE