Evolutionary approach for the problem of electromagnetic field propagation through nonlinear medium
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 mediumDownloads
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References
1. Третьяков О.А., Думин А.Н. Излучение нестационарных электромагнитных полей плоским излучателем // Электромагнитные волны & электронные системы. – 1998. – Т.3, N1. – С.12-22.
2. Думин А.Н. Излучение нестационарных полей раскрывом коаксиального волновода с бесконечным фланцем // Вестник Харьковского университета. Радиофизика и радиоэлектроника. – 1998. – №405. – С.52–55.
3. Dumin A.N., Katrich V.A., Pivnenko S.N. Radiation of short pulses from the open end of a coaxial waveguide // Telecommunications and radio engineering. – 1997. – V.51, N11-12. – P.81–89.
4. Dumin A.N. Radiation of transient localized waves from an open-ended coaxial waveguide with infinite flange // Telecommunications and radio engineering. – 1999. – V.53, N6. – P.30–34.
5. Думин А.Н., Катрич В.А., Колчигин Н.Н., Пивненко С.Н., Третьяков О.А. Дифракция нестационарной ТЕМ-волны на открытом конце коаксиального волновода // Радиофизика и радиоастрономия. – 2000. – Т.5, №1. – С.55–66.
6. Tretyakov O., Dumin A., Dumina O., Katrich V. Modal basis method in radiation problems // Proc. International Conf. on Math. Methods in Electromagnetic Theory (MMET–2004). – Dniepropetrovsk (Ukraine). – 2004. – P.312–314.
7. Dumin O., Dumina O., Katrich V. Evolution of transient electromagnetic fields in spherical coordinate system // Proc. XI-th International Conf. on Math. Methods in Electromagnetic Theory (MMET–2006). – Kharkiv (Ukraine, June 26-29). – 2006. – P.363–365.
8. Dumin O.M., Dumina O.O., Katrich V.A. Evolution of transient electromagnetic fields in radially inhomogeneous nonstationary medium // Progress In Electromagnetics Research. PIER 103. – 2010. – V.103. – P.403–418.
9. Dumin O.M., Katrich V.A., Akhmedov R.D., Tretyakov O.A., Dumina O.O. Evolutionary Approach for the Problems of Transient Electromagnetic Field Propagation in Nonlinear Medium // Proc. XV International Conf. on Math. Methods in Electromagnetic Theory (MMET–2014). – Dnipropetrovsk (Ukraine, Aug. 26- 28). – 2014. – P. 57-60.
10. Dumin O.M., Tretyakov O.A., Akhmedov R.D., Stadnik Yu.B., Katrich V.A., and Dumina O.O. Modal Basis Method for Propagation of Transient Electromagnetic Fields in Nonlinear Medium// Proc. 7th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS–2014). – Kharkiv (Ukraine, September 15-19). – 2014. – P. 100–103.
2. Думин А.Н. Излучение нестационарных полей раскрывом коаксиального волновода с бесконечным фланцем // Вестник Харьковского университета. Радиофизика и радиоэлектроника. – 1998. – №405. – С.52–55.
3. Dumin A.N., Katrich V.A., Pivnenko S.N. Radiation of short pulses from the open end of a coaxial waveguide // Telecommunications and radio engineering. – 1997. – V.51, N11-12. – P.81–89.
4. Dumin A.N. Radiation of transient localized waves from an open-ended coaxial waveguide with infinite flange // Telecommunications and radio engineering. – 1999. – V.53, N6. – P.30–34.
5. Думин А.Н., Катрич В.А., Колчигин Н.Н., Пивненко С.Н., Третьяков О.А. Дифракция нестационарной ТЕМ-волны на открытом конце коаксиального волновода // Радиофизика и радиоастрономия. – 2000. – Т.5, №1. – С.55–66.
6. Tretyakov O., Dumin A., Dumina O., Katrich V. Modal basis method in radiation problems // Proc. International Conf. on Math. Methods in Electromagnetic Theory (MMET–2004). – Dniepropetrovsk (Ukraine). – 2004. – P.312–314.
7. Dumin O., Dumina O., Katrich V. Evolution of transient electromagnetic fields in spherical coordinate system // Proc. XI-th International Conf. on Math. Methods in Electromagnetic Theory (MMET–2006). – Kharkiv (Ukraine, June 26-29). – 2006. – P.363–365.
8. Dumin O.M., Dumina O.O., Katrich V.A. Evolution of transient electromagnetic fields in radially inhomogeneous nonstationary medium // Progress In Electromagnetics Research. PIER 103. – 2010. – V.103. – P.403–418.
9. Dumin O.M., Katrich V.A., Akhmedov R.D., Tretyakov O.A., Dumina O.O. Evolutionary Approach for the Problems of Transient Electromagnetic Field Propagation in Nonlinear Medium // Proc. XV International Conf. on Math. Methods in Electromagnetic Theory (MMET–2014). – Dnipropetrovsk (Ukraine, Aug. 26- 28). – 2014. – P. 57-60.
10. Dumin O.M., Tretyakov O.A., Akhmedov R.D., Stadnik Yu.B., Katrich V.A., and Dumina O.O. Modal Basis Method for Propagation of Transient Electromagnetic Fields in Nonlinear Medium// Proc. 7th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS–2014). – Kharkiv (Ukraine, September 15-19). – 2014. – P. 100–103.
Cited
How to Cite
Dumin, O. M., Tretyakov, O. A., Akhmedov, R. D., & Dumina, O. O. (1). Evolutionary approach for the problem of electromagnetic field propagation through nonlinear medium. Visnyk of V.N. Karazin Kharkiv National University, Series “Radio Physics and Electronics”, (24), 23-28. Retrieved from https://periodicals.karazin.ua/radiophysics/article/view/6380
Section
Original Article
