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... generalized Fourier method GFD [1] over the classic one in solving of applied electrodynamics problems is the problem of hollow triangular cross section waveguide (Fig.1), whose envelope is considered to be a perfect conductor, while the inner medium is ... ... boundary problem. We can divide the surrounding contour into segments, which obviously leads to the increase in the number of boundary problems to be solved. It can be avoided by using GFM. If the function in question is represented as: (7) the equation ...