Linear theory of the helical magnetron-type peniotron

Summary form only given. The linear dispersion of the peniotron in the helical magnetron circuit will be solved calculating perturbation terms in the linearized Maxwell-Vlasov equations. An axis-encircling beam is used under the strong axial magnetic field. The electron distribution function is expanded. We are interested in the fast wave solution of the Maxwell equations. The axial component of the curl equations, must be solved and its complex solutions are found in the interaction region of beam and wave where. The corresponding solutions between the vane and conducting walls are accordingly calculated. The dispersion of beam-wave interaction is obtained by solving the Maxwell-Vlasov equations. The gain and bandwidth will be calculated near 35 GHz.