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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Druckformat: 0040-2508
ISSN Online: 1943-6009

Volumes:
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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v57.i12.20
14 pages

A Field of Linear Magnetic Current in a Plane Waveguide with Smoothly Varying Impedance of Its Walls

Leonid Aleksandrovich Pazynin
Institute of Radio Physics and Electronics of the National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkov 61085, Ukraine

ABSTRAKT

The exact Green function of the Helmholtz equation for a gradient impedance junction in a plane waveguide of fixed cross-section (the impedance analogue of the familiar Epstein transmission layer) is derived with the help of the theory of the Riemann boundary-value problem. Green's function is given in terms of expansion in two-parameter family of plane inhomogeneous waves. A number of possible applications are suggested, namely, the transformation ratios for eigenmodes of the regular part of the waveguide junction segment are derived analytically; the adiabatic approximation of the theory of smoothly irregular waveguides is estimated; the abnormally high transformation of the principal zero mode into the first mode is revealed even for an adiabatically smooth impedance junction.


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