Abstract
A new numerical method for fast solving of Poisson’s equation in the simply connected interaction regions of O-type vacuum microwave devices is described. The principal specificity of this method, so-called Fourier analysis and eigenfunction decomposition (FAED), consists in using the finite Fourier series for the approximation of the radial dependence of electrostatic potential instead of the well-known Hockney’s cyclic reduction (CR) algorithm. This allows using Neumann boundary condition for the electrostatic potential at the axis of the interaction region instead of Dirichlet one, as in M-type devices.
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