Solution of an Electrodynamic Problem for a Homogeneous Equivalent Segment of a Coaxial Load, Considering Heat Losses in the Conductors

Polina V. Tatarenko and Alexander S. Tatarenko ()
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Polina V. Tatarenko: Department of Electronic Systems, Saint Petersburg Mining University, 199106 St. Petersburg, Russia
Alexander S. Tatarenko: Department of Electronic Systems, Saint Petersburg Mining University, 199106 St. Petersburg, Russia

Mathematics, 2022, vol. 10, issue 24, 1-16

Abstract: Mathematical aspects of solving an electrodynamic problem in the field of designing coaxial devices in the microwave range are considered. The solution of the electrodynamic problem for a homogeneous equivalent segment of a coaxial load in the single-mode approximation, considering the heat losses in the central and outer conductors, was obtained. A mathematical model of the microwave load, linking the high-frequency and design-technological parameters of the device, was built. To refine the model, we consider second-order effects associated with considering inhomogeneities that occur in places where the cross-section of the coaxial structure changes. The design of the 50-Ω load and the results of its experimental investigation are presented for comparison with theoretical calculations.

Keywords: differential equations; electrodynamic; mathematical model; microwave devices; coaxial structure (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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