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We have used several different methods to calculate the dispersion relation of the space charge waves on a sheet beam inside a slow wave structure. Pierce's parameters C and QC in his traveling wave tube (TYT) theory are evaluated. Contrary to the conventional theory, we find no unique identification of the space charge fields and the circuit fields in beam-structure interaction. The interdependence between these fields is addressed.
Yue Ying Lau andDavid P. Chernin
"Critical reexamination of Pierce's space-charge factor (QC) in the conventional TWT theory", Proc. SPIE 1629, Intense Microwave and Particle Beams III, (1 April 1992); https://doi.org/10.1117/12.137173
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Yue Ying Lau, David P. Chernin, "Critical reexamination of Pierce's space-charge factor (QC) in the conventional TWT theory," Proc. SPIE 1629, Intense Microwave and Particle Beams III, (1 April 1992); https://doi.org/10.1117/12.137173