# Accession Number:

## AD0404882

# Title:

## CONTINUATION OF AN ADVANCED KLYSTRON STUDY

# Descriptive Note:

## Final rept.

# Corporate Author:

## KANE ENGINEERING LABS PALO ALTO CA

# Personal Author(s):

# Report Date:

## 1963-04-01

# Pagination or Media Count:

## 99.0

# Abstract:

Matrix methods are used in an attempt to clarify the predictions of many resonator klystron response at frequencies above the pass band. The gain expressions have been expressed in factored form in the case of staggered tuning but numerical calculations in the super pass band region have not been completed due to computational length and complexity. Several subjects in large-signal beam theory are treated. The multi gap problem is formulated in terms of an integral equation which is solved within the framework of second order perturbation theory. The disc model of space-charge forces is used to derive a large-signal equation of motion for a finite diameter beam. Solutions to the equation indicate different space charge reduction factors for each harmonic of the modulating voltage. Statistical mechanical methods are used to derive equations of motion corresponding to the infinite beam model. Terms appear which cast doubt on the infinite beam model near crossover. The new terms are simulated by the introduction of phenomenological collision loss terms which impede the onset of crossover.

# Descriptors:

# Subject Categories:

- Electrical and Electronic Equipment