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Title: Analytic formulas for magnetron characteristic curves

Abstract

A closed non-linear set of equations is obtained based on the guiding center fluid model to describe steady-state magnetron operation. Spoke charge effects are included self-consistently, by introducing a mean-field approximation so that the effective AC potential preserves the geometric similarity with the vacuum solutions. New characteristic equations, relating the anode current 1 and the RF power P to the applied DC voltage V at given RF frequency, are obtained. Previously obtained V-I equations disagree with experiments in that (a) anode current and RF power go to zero when the resonance condition V = V{sub s} is met, (b) the operation voltage V is a double-valued function of the current I; there exist two nearly symmetric operation points around V{sub s} at the same current I. Yet magnetrons, and the related crossed-field amplifiers, are known to exhibit stable operation with single valued V-I characteristics well below V{sub s}. Although zero gain at synchronism applies to other microwave devices (TWT`s, FEL`s), experimental results and particle simulations of crossed field devices suggest otherwise. The new formulas show reasonable agreement with experiments.

Authors:
 [1]
  1. Science Applications International Corp., McLean, VA (United States)
Publication Date:
OSTI Identifier:
153861
Report Number(s):
CONF-950612-
ISBN 0-7803-2669-5; TRN: IM9602%%351
Resource Type:
Conference
Resource Relation:
Conference: 22. international conference on plasma science, Madison, WI (United States), 5-8 Jun 1995; Other Information: PBD: 1995; Related Information: Is Part Of IEEE conference record -- abstracts: 1995 IEEE international conference on plasma science; PB: 312 p.
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; MAGNETRONS; MATHEMATICAL MODELS; NONLINEAR PROBLEMS; GUIDING-CENTER APPROXIMATION; OPERATION; ELECTRICAL PROPERTIES; TRAVELLING WAVE TUBES; FREE ELECTRON LASERS; COMPARATIVE EVALUATIONS

Citation Formats

Riyopoulos, S. Analytic formulas for magnetron characteristic curves. United States: N. p., 1995. Web.
Riyopoulos, S. Analytic formulas for magnetron characteristic curves. United States.
Riyopoulos, S. 1995. "Analytic formulas for magnetron characteristic curves". United States.
@article{osti_153861,
title = {Analytic formulas for magnetron characteristic curves},
author = {Riyopoulos, S},
abstractNote = {A closed non-linear set of equations is obtained based on the guiding center fluid model to describe steady-state magnetron operation. Spoke charge effects are included self-consistently, by introducing a mean-field approximation so that the effective AC potential preserves the geometric similarity with the vacuum solutions. New characteristic equations, relating the anode current 1 and the RF power P to the applied DC voltage V at given RF frequency, are obtained. Previously obtained V-I equations disagree with experiments in that (a) anode current and RF power go to zero when the resonance condition V = V{sub s} is met, (b) the operation voltage V is a double-valued function of the current I; there exist two nearly symmetric operation points around V{sub s} at the same current I. Yet magnetrons, and the related crossed-field amplifiers, are known to exhibit stable operation with single valued V-I characteristics well below V{sub s}. Although zero gain at synchronism applies to other microwave devices (TWT`s, FEL`s), experimental results and particle simulations of crossed field devices suggest otherwise. The new formulas show reasonable agreement with experiments.},
doi = {},
url = {https://www.osti.gov/biblio/153861}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Dec 31 00:00:00 EST 1995},
month = {Sun Dec 31 00:00:00 EST 1995}
}

Conference:
Other availability
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