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# Accession Number:

## AD0607269

# Title:

## EXCITATION OF ION OSCILLATIONS IN BEAM-PLASMA SYSTEMS,

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS

# Report Date:

## 1964-09-18

# Pagination or Media Count:

##
4.0

# Abstract:

## The report suggests possible ways for further theoretical study of the interaction of an electron beam and the ions in a hot-electron plasma. Equations are obtained for beamplasma interaction in a filled cylindrical waveguide in which the thermal velocity distribution is longitudinal but otherwise arbitrary. An approximation is described based on these equations by using only one transverse wave number. A close resemblance is found between the approximate solutions and the theory of plane waves in an infinite beamplasma system, traveling at an angle with the direction of the beam and the magnetic field and having a certain fixed real transverse wave number. Advantage is taken of this resemblance to calculate beam- hot-electron plasma interaction including a transverse random velocity distribution. The theory of a filamentary beam is combined with that of a plasma-filled waveguide, using the coupling-of-modes theory, for the description of some of the weak interactions between a thin beam and a finite plasma. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#