HELIX COUPLERS FOR LINEAR-BEAM DEVICES
Abstract
The interaction between electron beams and coupled helices is studied and generalized to include the effects of (1) space charge, QC; (2) finite circuit loss, d; (3) finite values of gain parameter, C; (4) an unrestricted coupling parameter, k; and (5) the effect of having a large positive value of the velocity parameter, b, such that the propagation constants are purely imaginary. A general determinantal equation including all these factors is derived from the coupled-circuit equations and th stream equation. Curves of the propagation constants for a variety of operating parameters are shown. Attention is called to the fact that a region of growing wave is found for large positive b for extremely tight coupling. The extent to which the growing-wave island is affected by the various operating parameters is illustrated. Equations for the outer and inner helix RF voltages are derived from which curves of the propagating RF powers along the helices are computed and plotted. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1961
- Accession Number
- AD0269065
Entities
People
- Chai Yeh
Organizations
- University of Michigan