A re-examination of the traveling wave interaction

Author

Freund, H.P.

Volume

22

Issue

5

fYear

1994

fDate

10/1/1994 12:00:00 AM

Firstpage

499

Lastpage

503

Abstract

A re-examination of the traveling wave interaction (in the helix traveling wave tube and the free-electron laser) is performed using three-dimensional linear stability analyses for an idealized annular electron beam model in order to investigate the validity of the well-known scaling laws in which the gain varies as the cube (fourth) root of the current when space-charge effects are negligible (dominant). The results indicate that these scaling laws are simplistic generalizations which break down for broad bandwidth interactions, and that the actual variation of the pain, with the current can be more complex. A three-dimensional nonlinear analysis of a free-electron laser using a more realistic electron beam model is also discussed in which these scaling laws are also shown to break down,

Keywords

electron beams; free electron lasers; space charge; stability; travelling wave tubes; waveguide theory; annular electron beam model; broad bandwidth interactions; cube root; fourth root; free-electron laser; gain; helix traveling wave tube; scaling laws; space-charge effects; three-dimensional linear stability; three-dimensional nonlinear analysis; traveling wave interaction; Bandwidth; Electron beams; Electron tubes; Equations; Free electron lasers; Laser modes; Laser stability; Performance gain; Polynomials; Stability analysis;

fLanguage

English

Journal_Title

Plasma Science, IEEE Transactions on

Publisher

ieee

ISSN

0093-3813

Type

jour

DOI

10.1109/27.338259

Filename

338259