Abstract
A Pierce-type approach to the analysis of a travelling wave gyrotron which utilizes an impedance formulation much like that used for O-type travelling wave tubes has been previously discussed (Grow and Shrivastava 1980 a, 1981, 1982, Grow 1980). The theory is based on a determinental equation that is obtained from the simultaneous solution of a relativistic, cyclotron-rotating electronic equation and a waveguide circuit equation. Expressions for the interaction impedance are presented as a basis for considering the magnetron circuit operating in the 2π mode. The cutoff constants are determined for values of the ratio of vane radius to the outer waveguide radius from 015 to 1.00. The normalized interaction impedance and the stream voltage are then calculated for each of these magnetron circuit configurations. The results can be used to design a gyrotron travelling wave tube with magnetron-type circuits.
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