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Method of calculation of electromagnetic waves in an annular waveguide of circular cross-section

DOI 10.18127/j19997493-201904-02

Keywords:

V.M. Chernenky - Dr.Sc. (Eng.), Professsor, Head of «Information Processing and Control Systems» Department, Bauman Moscow State Technical University
E-mail: iu5vmch@mail.ru
D.V. Semenov - Ph.D. (Eng.), «Information Processing and Control Systems» Department, Bauman Moscow State Technical University
E-mail: limmax@mail.ru


Spatial wave solutions are often used in waveguide design. However, linear-extended structures with different cross-section shapes are considered in most cases from a methodological point of view. At the same time, any spatial waveguide can be considered as a spatial composition of segments curved in a plane with some radius. Therefore, the General solution for an annular (segmented-annular) waveguide of circular cross-section can be considered as a methodological basis for solving problems of this type.
Conclusion. Thus, the methodological basis for determining the parameters of the electromagnetic field in a curved homogeneous waveguide of circular section, determined by the Helmholtz equation is presented. The General solution for such a representation is given in spherical coordinates. It is shown that as a result of bending in a certain plane, the harmonic dependence of the electromagnetic wave parameters is transformed into a combined dependence of the spherical and Bessel functions. It must be assumed that this solution is General from a mathematical point of view, because at an infinitely large of bending radius, these dependencies converge to a harmonic function. This technique can be used for analytical evaluation or numerical calculation of waveguide parameters and design of the waveguide channel as a whole. The obtained analytical expressions facilitate the task of optimizing of waveguide channel and the task of developing software for their evaluation and development.

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