Radiation of the space charge in a magnetically insulated transmission line oscillator

In this paper, radiation of the space charge in a magnetically insulated transmission line oscillator (MILO) is studied. The results are as follows; the gain formula in the linear regime is derived in which the gain function is symmetric with respect to the mismatch of synchronism; the radiation field formula in the stauration regime is also derived, it shows that the radiation power at saturation is approximately proportional to the harmonic current squared. The theoretic results above are partially examined by numerical simulations.