Theory of multicavity gyroklystron amplifier based on a Green's function approach

The paper presents an application of a self-consistent field theory for gyrotrons to a multicavity gyroklystron configuration. The coupled RF field equation and the Lorentz equations are solved in the slow-time-scale formulation using a Green's function technique to satisfy appropriate boundary conditions. An analytical expression for the small-signal gain is obtained by the method of successive approximation. The theory has ben developed for cylindrical TEmnl mode as well as rectangular TE101 mode. The theory is applied to calculate the small signal performance characteristics of a three-cavity configuration operating with rectangular TE101 mode. (Author)