Decomposition of Electromagnetic Potentials in Partial Functions of Dispersive Electrodynamic Lines

A.I. Bilotserkivska; I.M. Bondarenko; A.V. Gritsunov; O.Yu. Babychenko; L.I. Sviderska; A.V. Vasianovych

doi:10.15407/ujpe69.6.382

Decomposition of Electromagnetic Potentials in Partial Functions of Dispersive Electrodynamic Lines

Authors

A.I. Bilotserkivska Kharkiv National University of Radio Electronics, Faculty of Electronic and Biomedical Engineering
I.M. Bondarenko Kharkiv National University of Radio Electronics, Faculty of Electronic and Biomedical Engineering
A.V. Gritsunov Kharkiv National University of Radio Electronics, Faculty of Electronic and Biomedical Engineering
O.Yu. Babychenko Kharkiv National University of Radio Electronics, Faculty of Electronic and Biomedical Engineering
L.I. Sviderska Kharkiv National University of Radio Electronics, Faculty of Electronic and Biomedical Engineering
A.V. Vasianovych Kharkiv National University of Radio Electronics, Faculty of Electronic and Biomedical Engineering

DOI:

https://doi.org/10.15407/ujpe69.6.382

Keywords:

dispersive electrodynamic system, electromagnetic potential, Fourier series, eigenfunction, partial function

Abstract

The utilization of partial functions, or oscillets, as the basis functions localized in all spatial coordinates, is proposed for the expansion of non-stationary, non-harmonic electromagnetic potentials within lengthy three-dimensional dispersive electrodynamic systems, such as electrodynamic lines (ELs). These functions are derived as linear transformations of the manifold of EL eigenfunctions, aiming to minimize the spatial extension of each oscillet. Emphasis is placed on the adoption of these new functions in electrodynamic and electronic computations, particularly in the optimization of irregular ELs found in various microwave and optical sources, including those with open-ended configurations featuring a continuous spectrum of eigenfunctions. An illustrative example showing the utility of partial functions in the electrodynamic calculation of a longitudinally inhomogeneous EL is provided.

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Published

2024-07-25

How to Cite

Bilotserkivska, A., Bondarenko, I., Gritsunov, A., Babychenko, O., Sviderska, L., & Vasianovych, A. (2024). Decomposition of Electromagnetic Potentials in Partial Functions of Dispersive Electrodynamic Lines. Ukrainian Journal of Physics, 69(6), 382. https://doi.org/10.15407/ujpe69.6.382

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Issue

Vol. 69 No. 6 (2024)

Section

General physics

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