1992
DOI: 10.1109/27.142824
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Analysis of the deflection system for a magnetic-field-immersed magnicon amplifier

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Cited by 24 publications
(5 citation statements)
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“…To assess the effects of beam loading it is necessary to solve the wave equation with the source term evaluated with the aid of the orbit in (5). Following [7], the current density for a monoenergetic beam of electrons with energy may be written as where is the beam current, is the orbit in theplane, expressed as a function of the time and the entry time into the cavity, and is the electron distribution-which is a function of the initial coordinates and momenta -subject to the normalization condition It is thus necessary to solve the wave equation with the orbit given by (5) inserted into the expression for the current density. The solution of the wave equation can be readily obtained by substituting a vector potential of the form given in (1) into the left-hand side.…”
Section: Dispersion Relationmentioning
confidence: 99%
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“…To assess the effects of beam loading it is necessary to solve the wave equation with the source term evaluated with the aid of the orbit in (5). Following [7], the current density for a monoenergetic beam of electrons with energy may be written as where is the beam current, is the orbit in theplane, expressed as a function of the time and the entry time into the cavity, and is the electron distribution-which is a function of the initial coordinates and momenta -subject to the normalization condition It is thus necessary to solve the wave equation with the orbit given by (5) inserted into the expression for the current density. The solution of the wave equation can be readily obtained by substituting a vector potential of the form given in (1) into the left-hand side.…”
Section: Dispersion Relationmentioning
confidence: 99%
“…For the right-hand side use is made of the orbit in (5) to evaluate the current density . Since this calculation is standard [4], [7], for brevity, we quote the result from [7]. For an azimuthally symmetric distribution function and in the paraxial approximation the ratio of the electric field in the gain cavity to that in the drive cavity is given by (6) where Here, , is the length of the cavity, , is the Alfvén current,…”
Section: Dispersion Relationmentioning
confidence: 99%
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“…Shortduration pulses are used for microwave generation in klystrons and related devices. Several groups [1][2][3][4][5][6][7] have been working on microwave generation, especially in view of the requirements of future TeV linear colliders. A major research and development activity is being conducted at FMT, and robust micropulse electron guns (MPG) have been developed [8,9] to produce selfbunched, high-current-density beams.…”
Section: Introductionmentioning
confidence: 99%
“…Magnicons operating at high voltages and at many GHz are being developed both in the U.S. [3] and in Russia, primarily as the RF source for the Next Linear Collider. However, the experimental evidence to date [4] indicates that the electron dynamics in the magnicon are complicated, and it has been difficult to verify the predictions of magnicon computer models.…”
Section: Introductionmentioning
confidence: 99%