Theoretical investigation of the fundamental mode frequency of A6 magnetron

The fundamental mode frequency of A6 magnetron is investigated theoretically by the equivalent circuit method, and an exact theoretical formula as a function of structure dimensions is derived. The theoretical results are compared with the simulation and experimental results, and the relative errors, which are calculated according to the theoretical and simulation or experimental frequencies, are less than 3%. So the validity of the theoretical formula is verified. In addition, this approach can also be used in other configurations but some changes need to be made in the formula according to the specific structures.