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

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

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v67.i2.10
pages 97-108

Method of Fractional Operators in the Problem of Excitation of Electric Current Thread above the Plane Boundary

M. V. Ivakhnichenko
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkiv 61085, Ukraine

ABSTRACT

Fractional fields, obtained as a result of applying the fractional curl operator rotα(0 < α < 1) to the known solution of a classical problem of two-dimensional source (current thread) excitation above the plane boundary, are analyzed. Fractional fields describe fractional or intermediate solutions of the problem under consideration. The fractional solutions are shown to be corresponded to the anisotropic and bi-anisotropic boundaries of a special kind and can be used as intermediate cases between the perfect electrically and magnetically conducting surfaces.


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