Evolutionary approach for the problem of electromagnetic field propagation through nonlinear medium

Authors

  • O. M. Dumin V.N. Karazin Kharkiv National University, 4, Svobody Sq., Kharkiv, 61022,
  • O. A. Tretyakov Gebze Institute of Technology, Gebze, Kocaeli, Turkey
  • R. D. Akhmedov V.N. Karazin Kharkiv National University, 4, Svobody Sq., Kharkiv, 61022, Ukraine
  • O. O. Dumina Ukrainian State Academy of Railway Transport, 7, Feyerbakha Sq., Kharkiv, 61050, Ukraine

Keywords:

transient electromagnetic field, time domain, evolutionary approach, nonlinear medium

Abstract

The problem of transient electromagnetic wave propagation in unbounded nonlinear medium is solved by means of Evolutionary Approach. It consists in the conversion of the initial three-dimensional nonstationary problem to one- dimensional one for the set of evolutionary equations with initial and boundary conditions by the modal expansion of the initial problem. The construction of the analytical solution of a nonlinear problem in time domain is proposed by the step-by-step method in approximation of weak nonlinearity and losses taking into account new sources of current inside the medium

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Issue

No. 24 (2014): Visnyk of V.N. Karazin Kharkiv National University N 1115, series “Radio Physics and Electronics”

Section

Original Article

How to Cite

Evolutionary approach for the problem of electromagnetic field propagation through nonlinear medium. (2016). Visnyk of V.N. Karazin Kharkiv National University, Series “Radio Physics and Electronics”, 24, 23-28. https://periodicals.karazin.ua/radiophysics/article/view/6380

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