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

ISSN Imprimer: 0040-2508
ISSN En ligne: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v51.i2-3.160
pages 170-174

The Riemann-Hilbert Method in the Electrodynamics of Unclosed Screens with Tapered Slots

V. N. Koshparyonok
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkov 61085

RÉSUMÉ

The paper suggests a rigorous theoretical analysis of the distribution of electromagnetic field components in tapered wave guiding elements of antenna systems and slot and strip lines. By generalizing the well-known Riemann-Hilbert method an inverse operator of the static boundary-value problem has been obtained for the Laplace equation in the simplest geometry of a screen with tapered slots, namely, two equal conical cuts disposed symmetrically within a conductive plane. The summation of poorly convergent series for the unknown functions are presented. The results have been brought to analytical formulas for the field components and potential distribution through the whole space, including the cuts themselves.


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