1948
DOI: 10.1109/jrproc.1948.230932
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Field Theory of Traveling-Wave Tubes

Abstract: The problem of a helix-type traveling-wave amplifier tube, under certain simplifying assumptions, is solved as a boundary-value problem. The results indicate that the presence of the beam in the helix causes the normal mode to break up into three modes with different propagation characteristics. Over a finite range of electron velocities one of the three waves has a negative attenuation, and is thus amplified as it travels along the helix. If the electron velocity is too high or too low for net energy interact… Show more

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Cited by 95 publications
(22 citation statements)
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“…This mode analysis is similar to the one performed for helixtype traveling wave tubes in Ref. 16 Also, this method enables us to illustrate several interesting wave parameters such as phase velocities, wave impedances, and admittances of the SWCs. Here, the effects of the hetero-structure's end contacts and the corresponding boundary conditions on the wave propagation are ignored.…”
Section: Introductionmentioning
confidence: 81%
“…This mode analysis is similar to the one performed for helixtype traveling wave tubes in Ref. 16 Also, this method enables us to illustrate several interesting wave parameters such as phase velocities, wave impedances, and admittances of the SWCs. Here, the effects of the hetero-structure's end contacts and the corresponding boundary conditions on the wave propagation are ignored.…”
Section: Introductionmentioning
confidence: 81%
“…1, which has a DBE, with an electron beam we adopt an CTL approach that extends the single mode interaction theory developed by Pierce and contemporaries 4,14,39,40 to multimode interaction as was done in 20,33,41 . We assume that the electron beam has a very small cross section, and that it is infinite along the z-direction, neglecting any transverse motion of electrons and fringing effects due to the structure's finite length.…”
Section: Model For a Ctl Interacting With An Electron Beammentioning
confidence: 99%
“…The interaction between the SWS modes and an electron beam is investigated via a CTL approach, extending the single mode linear interaction theory developed by Pierce and contemporaries [22]- [25] to multimode interaction, as was done in [8], [17], [18], [17]. Accordingly the beam is described by modulation of the charge wave current Here, as in [8], [9], [17] we adopt a space varying state vector…”
Section: A Ctl-beam Interaction Modelmentioning
confidence: 99%