A rotating microwave is established for any resonant mode TEmnl or TMmnl of a cavity, where the user is free to choose the values of the mode indices m, n and l. The fast rotation, the rotation frequency of which is equal to an operational microwave frequency, is accomplished by setting the temporal phase difference ΔØ and the azimuthal angle Δθ between two microwave input ports P and Q as functions of m, n and l. The slow rotation of frequency Ωα (typically 1-1000 Hz), is established by transforming dual field inputs α cos Ωαt and ±α sin Ωαt in the orthogonal input system into an oblique system defined by the angle Δθ between two microwave ports P and Q.