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Author Gould, R. W. ♦ Johnson, C. C.
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ AMPLIFIERS ♦ CONFIGURATION ♦ COUPLING ♦ CYCLOTRONS ♦ DIFFERENTIAL EQUATIONS ♦ ELECTRIC FIELDS ♦ ELECTRON BEAMS ♦ ENERGY ♦ FREQUENCY ♦ INTERACTIONS ♦ LENSES ♦ MAGNETIC FIELDS ♦ MODULATION ♦ NOISE ♦ QUADRUPOLES ♦ SIGNALS ♦ SYMMETRY
Abstract A theory of parametric amplification in a filamentary electron beam by transverse fields is developed in coupledmode form. Space charge effects are neglected. In addition to beam modes at the signal frequency, beam modes at frequencies omega e = omega + omega /sub p/ n = 0, plus or minus 1, plus or minus 2---, where omega /sub p/ is thppump frequency, are coupled together. A discussion of the general form of the equations is given and reveals the circumstances under which exponential gain or periodic energy transfer between various modes can occur. When the theory is applied to quadrupole electric pump fields, a description of the quadrupole amplifiers of Adler, Wade, and Gordon is obtained. This theory is then used to evaluate the noise contribution from synchronous beam modes and higher cyclotron idler modes. Coupling by axially symmetric electric fields and by axially symmetric magnetic fields is discussed, and other amplification schemes are suggested. The theory of coupling by axially symmetric fields can also be used to study lens effects on noise in the gun region. (auth)
ISSN 00218979
Educational Use Research
Learning Resource Type Article
Publisher Date 1961-02-01
Publisher Department California Inst. of Tech., Pasadena
Journal Journal of Applied Physics
Volume Number 32
Organization California Inst. of Tech., Pasadena


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