Consistent theory of microwave power in RFgun

The consistent theory of microwave power coupling and the optimism coupling factor are analyzed in detail by equivalent circuit method in this paper. The relationship among the microwave power, coupling factor, beam loading and parameters of the accelerating cavity is presented with analytical formula. The microwave coupling progress during the macropulse of thermionic cathode RFgun is discussed and the explanation of experimental phenomena such as the deformation of microwave coupling mode is given.