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Nonlinear, nonlaminar-3D computation of electron motion through the output cavity of a klystronThe equations of motion used in the computation are discussed along with the space charge fields and the integration process. The following assumptions were used as a basis for the computation: (1) The beam is divided into N axisymmetric discs of equal charge and each disc into R rings of equal charge. (2) The velocity of each disc, its phase with respect to the gap voltage, and its radius at a specified position in the drift tunnel prior to the interaction gap is known from available large signal one dimensional programs. (3) The fringing rf fields are computed from exact analytical expressions derived from the wave equation assuming a known field shape between the tunnel tips at a radius a. (4) The beam is focused by an axisymmetric magnetic field. Both components of B, that is B sub z and B sub r, are taken into account. (5) Since this integration does not start at the cathode but rather further down the stream prior to entering the output cavity it is assumed that each electron moved along a laminar path from the cathode to the start of integration.
Document ID
19720005552
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Albers, L. U.
(NASA Lewis Research Center Cleveland, OH, United States)
Kosmahl, H. G.
(NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
September 2, 2013
Publication Date
January 1, 1971
Subject Category
Electronic Equipment
Report/Patent Number
NASA-TM-X-67946
E-6614
Meeting Information
Meeting: Intern. Electron Devices Meeting
Location: Washington, DC
Country: United States
Start Date: November 11, 1971
End Date: November 13, 1971
Accession Number
72N13201
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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