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Electric Green Function for a Point Source in Circular Short-Circuit Waveguide Filled by Magnetoactive Plasma
Abstract
The electric Green function of a circular short-circuit waveguide with anisotropic plasma has been constructed for the electric-current point source with a singularity, which is singled out in an explicit form as the Green function of an infinite uniaxial anisotropic medium. The regular part of the electric Green function was obtained as a sum of continuous and discrete spectra. The problem of the Green function construction for the point electric current source was solved as a problem of diffraction of ordinary and extraordinary tensor divergent waves on the internal surface of a circular short-circuit waveguide.
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Electromagnetic fields in a circular cylindrical conducting
waveguide filled with uniaxial anisotropic media are formulated in this
paper by using Fourier transformations. These fields are obtained as a
superposition of the TE (or ordinary) and TM (or extraordinary) modes
satisfying, respectively, different characteristic equations. Lastly,
the dyadic Green's function is derived using the Ohm-Rayleigh method and
represented by vector wave functions expansion