SMALL-SIGNAL NONLINEAR KLYSTRON WAVES.
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. Maxwell's 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1964
- Accession Number
- AD0603573
Entities
People
- M. Fischer
- S. Olving
Organizations
- Chalmers University of Technology