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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

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v56.i6-7.20
51 pages

Atomic-fractal Functions in Problems of Antenna Synthesis

Victor Filippovich Kravchenko
Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 11-7, Mokhovaya St., Moscow 125009, Russia; Bauman Moscow State Technical University, 5, Vtoraya Baumanskaya St., Moscow 105005 Russia; Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, 15, Butlerova St., Moscow 117342, Russia
Aleksander Alekseevich Potapov
Leading Researcher at the IRE of the RAS, Russia
Vladimir Mikhailovich Masyuk
Post-graduate student at the Chair "Higher Mathematics " of the Bauman MSTU, Russia


ABSTRACT: Foundations of measure theory, the Hausdorff-Besicovitch measure, fractal nowhere differentiable Boltzano, Van-der-Waerden, and Besicovitch functions, and also some atomic functions possessing fractal properties are considered. For the first time, the atomic-fractal functions are constructed. The theory proposed and justified is illustrated on problems of synthesis of fractal radiating structures by means of modeling the corresponding physical processes.

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