350 rub
Journal Achievements of Modern Radioelectronics №5 for 2017 г.
Article in number:
Theoretical study of electromagnetic wave propagation knotted
Type of article: scientific article
UDC: 621.396
Keywords: еlectrodynamics topology of the space of the bundle.
Authors:

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

E-mail: smelovsoliton@mail.ru

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. 

Pages: 45-51
References
  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.

 

Date of receipt: 24 марта 2017 г.