2016
DOI: 10.1063/1.4961915
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One-dimensional nonlinear theory for rectangular helix traveling-wave tube

Abstract: A 1-D nonlinear theory of a rectangular helix traveling-wave tube (TWT) interacting with a ribbon beam is presented in this paper. The RF field is modeled by a transmission line equivalent circuit, the ribbon beam is divided into a sequence of thin rectangular electron discs with the same cross section as the beam, and the charges are assumed to be uniformly distributed over these discs. Then a method of computing the space-charge field by solving Green's Function in the Cartesian Coordinate-system is fully de… Show more

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Cited by 6 publications
(2 citation statements)
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“…The space charge force between 2 rectangular sheets in a rectangular tunnel is calculated by solving Green's Function for an infinite rectangular tunnel of height (g + h/3). The space charge field due to each rectangular sheet is calculated using Equation (1) [10].…”
Section: Model C -Beam-wave Interaction Analysismentioning
confidence: 99%
“…The space charge force between 2 rectangular sheets in a rectangular tunnel is calculated by solving Green's Function for an infinite rectangular tunnel of height (g + h/3). The space charge field due to each rectangular sheet is calculated using Equation (1) [10].…”
Section: Model C -Beam-wave Interaction Analysismentioning
confidence: 99%
“…The space charge force between 2 rectangular discs in a rectangular tunnel is calculated by solving Green's Function for an infinite rectangular tunnel of height (a+h/3), and using eq. ( 1) [18]. Figure 6 shows variation of space charge force between 2 rectangular discs in a rectangular tunnel over one beam wavelength.…”
Section: Planar Rf Slow-wave Structurementioning
confidence: 99%