Theoretical study of electromagnetic wave propagation knotted

М.V. Smelov

Theoretical study of electromagnetic wave propagation knotted

М.V. Smelov¹

research article UDC 621.396 Pages: 45-51

¹ Ph.D. (Eng.), Head of the Electromagnetic Research Department of the NO «Foundation for Advanced Technologies and Innovations»

Keywords: еlectrodynamics topology of the space of the bundle

Abstract

The article presents the results of a theoretical study of the propagation of electromagnetic waves knotted are shown topologically non-trivial solutions of Maxwell's equations in a stratified 3-dimensional spherical space S 3, which uses a mathematical apparatus of the Hopf bundle.

How to cite

Смелов М.В. Теоретическое исследование распространение заузленной электромагнитной волны // Успехи современной радиоэлектроники. 2017. № 5. С. 45–51.

References

Ranada A.F., Trueba J.L. Topological electromagnetism with hidden nonlinearity // Modern nonlinear optics. Part 3. Second Edition Advances in chemical physics. John Wiley & Sons, Inc. 2001. V. 119.
Ranada A.F. Knotted solutions of the Maxwell equation in vacuum // Journal of Physics. A 23. I.815–L.820. 1990.
Smelov M.V. Jeksperimental'noe issledovanie rasprostranenija zauzlennoj jelektromagnitnoj volny, inducirovannoj zauzlennoj antennoj v naturnyh bezjehovyh uslovijah // Radiotehnika. M. 2016. № 12. S. 189–195.

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[1] Ranada A.F., Trueba J.L. Topological electromagnetism with hidden nonlinearity // Modern nonlinear optics. Part 3. Second Edition Advances in chemical physics. John Wiley & Sons, Inc. 2001. V. 119.

[2] Ranada A.F. Knotted solutions of the Maxwell equation in vacuum // Journal of Physics. A 23. I.815–L.820. 1990.

[3] Smelov M.V. Jeksperimental'noe issledovanie rasprostranenija zauzlennoj jelektromagnitnoj volny, inducirovannoj zauzlennoj antennoj v naturnyh bezjehovyh uslovijah // Radiotehnika. M. 2016. № 12. S. 189–195.