
Accession Number : AD0626296
Title : STATISTICAL THEORY OF ELECTRON TRANSPORT IN CROSSED FIELDS: CHARACTERISTICS OF THE SMOOTHBORE MAGNETRON.
Descriptive Note : Research rept.,
Corporate Author : CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB
Personal Author(s) : Mouthaan,K.
Report Date : 06 AUG 1965
Pagination or Media Count : 113
Abstract : Electron transport across the magnetic field in crossed electric and magnetic fields is described on the basis of random fluctuations in the flields. The theory is formulated in terms of the slippingstream instability, so that a definite mechanism behind the fluctuations in the fields is established. The transport equation appropriate to the analysis is shown to be the diffusion equation; a definite expression for the diffusion tensor is obtained. The components of the diffusion tensor transverse to the magnetic field are found to be proportional to the square of the electric field, and inversely proportional to the cube of the magnetic field; the exponentialgrowth rate of the slippingstream instability determines the magnitude of the diffusion coefficients. Application of the theory is made to find the cutoff characteristics of the smoothbore magnetron. Explicit expressions for the spacecharge distribution, the electricfield distribution, the anode current, and the circulating current are obtained. The results are compared with available experimental results. The agreement between theoretical and experimental values is good, particularly for the anode current. The new theory thus appears to provide, for the first time, a correct theoretical explanation of the cutoff characteristics of the smoothbore magnetron. (Author)
Descriptors : (*STATISTICAL MECHANICS, ELECTRONS), (*MAGNETRONS, ELECTRON BEAMS), (*ELECTRON BEAMS, CROSSED FIELD DEVICES), (*CROSSED FIELD DEVICES, ELECTRON BEAMS), TRANSPORT PROPERTIES, FIELD THEORY, ELECTRON TRANSITIONS, PROBABILITY
Subject Categories : Electrical and Electronic Equipment
Distribution Statement : APPROVED FOR PUBLIC RELEASE