S. Ghosh et al., A heuristic analysis for an inhomogeneously loaded tape helix used in a practical travelling wave tube, INT J ELECT, 88(2), 2001, pp. 197-213
The analysis of an inhomogeneously loaded helix in the tape model, reported
elsewhere, considering the effect of space harmonics as well as the differ
ent radial propagation constants over the different structure regions, is q
uite tedious and rigorous. So, to avoid the rigorous analysis here, a heuri
stic analysis has been developed by combining the results of the tape model
analysis of a helix in free space with those of the sheath helix model ana
lysis of a loaded helix. The results presented here in terms of dispersion
characteristics have been compared with those results obtained from a rigor
ous approach (both for homogeneously and inhomogeneously loaded structures)
in the tape helix model. However, the results obtained from this approach
agree closely with those of the rigorous approach for a practical situation
in which the discrete supports are smoothed out into a single continuous r
egion. The approach is valid for an inhomogeneously loaded helix for optimu
m conditions of structure parameters, namely, helix pitch angle, helix to b
arrel gap, support material and inhomogeneity. Moreover, the results predic
ted by this heuristic approach have also been validated with those experime
ntal results published in the literature and are found to be in good agreem
ent.