Mathematical model for rectangular waveguide with impedance wall on which impedance Schukin–Leontovich boundary conditions are implemented is considered. Using these boundary conditions complete electromagnetic field in the waveguide is not divided into TE and TM fields and hybrids modes have to be taken into account. A new basis to represent components of complete electromagnetic field of a rectangular waveguide is suggested using witch impedance boundary conditions are satisfied exactly. Stiff system ODEs for amplitudes of this representation is a result.
Department of mathematics, Faculty of Physics, Lomonosov Moscow State University Moscow 119991, Russia
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