A mathematical model for electromagnetic oscillation propagation that accounts for single and dual-phase lag

Igor Kudinov, Vasiliy Kudinov, Anton Eremin and Konstantin Trubitsyn

Journal of Electromagnetic Waves and Applications, 2021, vol. 35, issue 17, 2304-2322

Abstract: Telegrapher’s equations that account for the speed and acceleration of a current and voltage were derived using a modified Ohm’s law formula that includes relaxation components. Examining the exact analytical solutions to these equations allowed us to conclude that abrupt changes in the target functions observed in solutions to classic telegrapher’s equations were eliminated, which indicates the elimination of the infinite propagation speed of electric field potentials inherent in the classic Ohm’s law formula. Analysis of the analytical solutions showed the impossibility of instant current (voltage) adoption at the edges of the conductor at the initial time instant, as the process of establishing these edges requires a definite initial time interval. This serves as evidence that it is physically impossible to instantly set a boundary condition in an actual electric conductivity process.

Date: 2021
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DOI: 10.1080/09205071.2021.1945497

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