ON THE NON-LINEAR THEORY OF THE PLANE TRAVELING WAVE TUBE
Abstract
The non-linear theory of a plane TWT model is presented. An infinitely wide electron beam interacts with an infinitely wide homogeneous slow wave structure whereby the difficulties associated with radial boundary conditions are avoided. The non-linear wave equation is solved to the third order accuracy by the use of the method of successive approximations. The one valued velocity assumption limits the analysis to the range well below the saturation level. Within this range, however, the results describe such effects as the dependence of fundamental frequency gain and output phase on drive power, the production of the first two harmonics, etc. Furthermore, it is shown that, by the use of suitable approximations, one can write the non linear plane TWT equation in a form very similar to the exact non-linear plane klystron equation. From this point on one can deal with the plane TWT using the methods which have already been successfully applied in the plane klystron case.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1953
- Accession Number
- AD0410219
Entities
People
- S. Olving
Organizations
- Chalmers University of Technology