Modal transformation of nonstationary electromagnetic field in unbounded nonlinear medium
Keywords:
nonstationary electromagnetic field, electromagnetic missile, static magnetic field, plane disk, weak nonlinearity, Kerr nonlinearity
Abstract
Transient processes in nonstationary electromagnetic field for nonlinear medium are considered. All electric and magnetic field components are received by evolutionary approach to transient electrodynamics as functions of space-time domain. The analysis of field components and numerical approach for further field calculation are proposed. Transient effects in the problem of radiation into stationary homogeneous medium of plane disk of homogeneously distributed electric current are considered. The iterative method of nonlinearity accounting is demonstrated on this example. Self-effects generated by secondary sources of electromagnetic field in its propagation process in the medium are considered.
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References
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Третьяков О.А., Думин А.Н. Излучение нестационарных электромагнитных полей плоским излучателем // Электромагнитные волны & электронные системы. – 1998. – Т.3, N1. – С.12-22.
Содин Л.Г. Импульсное излучение антенны с круглой апертурой, возбуждённой единичным скачком тока (переходная диаграмма) // Радиотехника и электроника. – 1992. – Т.37, №10. – C.1783–1787.
Wu T.T. Electromagnetic missiles // J. Appl. Phys. – 1985. – V. 57, N7, P. 2370-2373.
Ландау Л.Д., Лифшиц Е.М. Том II: Теория поля. – Москва: Физматлит, 2012. – 536 с.
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.
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.
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.
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.
Dumin O.M., Tretyakov O.A., Akhmedov R.D., and Dumina O.O. Transient electromagnetic field propagation through nonlinear medium in time domain // Proc. 10th International Conference on Antenna Theory and Techniques (ICATT-2015), 21-24 April, 2015, Kharkiv, Ukraine.- P. 93-95.
Борисов В.В. Неустоявшиеся поля в волноводах. – Ленинград: Издательство Ленинградского университета, 1991, 156 с.
Dumin O.M., Tretyakov O.A., Akhmedov R.D., and Dumina O.O. Evolutionary approach for the problem of electromagnetic field propagation through nonlinear medium // Вісник Харківського національного університету імені В.Н. Каразіна. Радіофізика та електроніка. – 2014. – Вип. 24. – №1115. – С.23–28.
Dumin O.M., Akhmedov R.D., Katrich V.A., and Dumina O.O. Propagation of transient field radiated from plane disk in nonlinear medium // Proc. 8th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS–2016). – Odessa (Ukraine, September 5-11). – 2016. – P. 77–80.
Dumin O., Akhmedov R., Dumina O.O. Transient field radiation of plane disk into nonlinear medium // Праці IEEE Міжнародної конференції з інформаційно-телекомунікаційних технологій та радіоелектроніки (UkrMiCo’2016). – Київ (Україна, вересень 11-15). – 2016. – P. 148–151.
Черногор Л. Ф., Милованов Ю. Б. Амплитудное самовоздействие мощных непрерывных проходящих радиоволн в ионосфере: результаты численного моделирования // Радиофизика и радиоастрономия. - 2015. - Т. 20, № 2. - С. 122-132.
Smirnov Yu G., Valovik D. V. Nonlinear Effects of Electromagnetic TM Wave Propagation in Anisotropic Layer with Kerr Nonlinearity // Advances in Mathematical Physics, Vol. 2012, – 2012. – 21 p.
Published
2018-01-31
Cited
How to Cite
Думин, А. Н., & Ахмедов, Р. Д. (2018). Modal transformation of nonstationary electromagnetic field in unbounded nonlinear medium. Visnyk of V.N. Karazin Kharkiv National University, Series “Radio Physics and Electronics”, (26), 42-47. Retrieved from https://periodicals.karazin.ua/radiophysics/article/view/10175
Section
Original Article
