Yb. Gong et al., COMPUTATION FOR THE GAIN OF RIDGE LOADED RING-PLANE TRAVELING-WAVE TUBE, International journal of infrared and millimeter waves, 18(11), 1997, pp. 2205-2217
The ridge loaded ring-plane traveling wave tube can provide high outpu
t power in a relatively broader bandwidth. The dispersion relation for
the interaction between the electron beam and the symmetrical mode pr
opagating in this slow wave circuit is obtained, by means of the Varia
tional method The method to calculate the arbitrary order Bessel funct
ion with complex argument is discussed. The three dimensional trajecto
ry graph of the Bessel function with complex argument is plotted. The
instantaneous operating bandwidth can be estimated in terms of the rel
ation between of the gain and frequency.