
Accession Number : AD0284948
Title : THEORY OF TRAVELINGWAVE TUBES AND AN ANALYSIS OF BACKWARDWAVE OSCILLATORS
Corporate Author : CORNELL UNIV ITHACA N Y
Personal Author(s) : WITT,H.R.
Report Date : 01 APR 1962
Pagination or Media Count : 1
Abstract : A linear theory for travelingwave tubes, based upon a normal mode expansion of a periodic slowwave circuit, was developed. The distinctive feature of the theory is that as many space harmonics as desired can be included in an analysis. If a full set of space harmonics are included, an infinite number of possible modesARE PREDICTED RATHER THAN THE FOUR MODES OF CONVENTIONAL THEORY. The theory reduces to the forwardwave amplifier theory of Pierce if only the dominant pair of space harmonics for forwardwave interaction are included, whereas it reduces to Johnson's theory of the backwardwave amplifier and backwardwave oscillator if only the dominant pair of space harmonics for backwardwave interaction are included. The normalmode expansion was also used to develop a nonlinear theory for travelingwave tubes that allows both space harmonics and time harmonics to be taken into account. An analysis of the backwardwave oscillator was carried out using the nonlinear theory, assuming that only interaction with the backwardwave space harmonic at the fundamental frequency is significant. (Author)
Descriptors : *BACKWARD WAVE OSCILLATORS, *TRAVELING WAVE TUBES, ANALYSIS, DIFFERENTIAL EQUATIONS, HARMONIC ANALYSIS, MATHEMATICAL ANALYSIS, NUMERICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, TAYLOR'S SERIES, THEORY
Distribution Statement : APPROVED FOR PUBLIC RELEASE