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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 been developed for cylindrical TEÂ°mnl mode as well as rectangular TEÂ·101 mode. The theory is applied to calculate the small-signal performance characteristics of a three-cavity configuration operating with rectangular TE101 mode.