Numerical theory of excitation of axisymmetric open-ended finite length slow wave structure on the basis of the boundary singular integral equation method

Open-ended axisymmetric slow wave structures (SWS) are commonly used as interaction chambers in high-power microwave (HPM) sources. According to Moreland et al. (see IEEE Trans., Plasma Science, vol.24, no.3, p.852-8, 1996) the finite length effects and nonuniformity of SWS can be exploited to achieve enhanced output power and frequency tunability. However, they cannot be analyzed with proper accuracy by conventional theoretical methods, and using special simulation codes based on direct numerical analysis appears to be the most preferable approach. In turn, the former so far are associated with a great amount of computations that, occasionally, results in a too high level of numerical noise which is capable of ruining the accuracy of the simulation. We present a new approach, which appears to combine positive features of both analytical and direct numerical approaches, i.e. it enables the consideration of the same complicated 2D or 3D configurations of electromagnetic structures as those by using special codes, but with considerably lower computational expenses