The cold quality factor of magnicon on resonator in the rotating TM n10 mode and compared with its equivalent for the static mode

The field distribution of the magnicon operating in a rotating TM _n10 mode in the cylindrical cavity is different from that in a static mode, and so respectively are expressions of the stored energy in the cavity, time-average dissipating power and cold quality factor, et al., under the same amplitude of the electrical fields, in the above-mentioned two modes. By means of the rotating and static field distribution expressions and the integrated Bessel function, these expressions for the rotating and static mode are deduced. In a first approximation, the average value gˆ_n and qˆ_n of the coefficient g_n and q_n are used for g _n, and q_n in these formulas in the different range of n, such as gˆ_n=1.5∈(0<n<8), gˆ_n =1.4∈(7<n<12), and gˆ_n=1.3∈(11<n<20). The corresponding average qˆ_n is also known. The deduced expressions of static cold quality factor are different from what are widely adopted now