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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.v60.i12.30
11 pages

General Scheme of the Mode-Matching Technique as a Basis for Generalized Solutions to the Internal Boundary-Value Problems

D. Yu. Kulik
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkov 61085, Ukraine
Victor Ivanovich Tkachenko
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkov 61085, Ukraine

ABSTRACT

Our study is focused on a new generalized approach to the mode-matching (GMM) applied to the computation of the natural mode bases for the waveguides (WG) of complicated cross-sections and of the S-matrices of the complicated waveguide circuits. Development of the GMM procedures enables one to create fully automatic algorithms for a wide range of configurations avoiding a specialized analytical treatment of each new boundary-value problem. Moreover, the background for linking up the interface tools of a circuit geometry specification and editing is provided by the GMM approach together with the special algorithms for recognizing the object configurations and for data preparation. The class of objects that can be computed by the suggested approach includes arbitrary WG circuits with stepped metal boundaries specified in the Cartesian coordinate system or with the smooth boundaries that may be approximated by the equivalent staircase surfaces. The corresponding electromagnetic solvers are closer to the software based on the mesh methods, with the high accuracy and computation speed typical for sophisticated mode-matching procedures.


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