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Can the Principles of Relativistic Mechanics Have Direct Action in the Theory of Electromagnetism Surface Waves

AASCIT Journal of Physics
Vol.1 , No. 4, Publication Date: Jul. 22, 2015, Page: 315-327

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Authors

[1]	A. V. Kukushkin, Department of Computational Systems and Technologies, R. Alekseev Nizhny Novgorod State Technical University, Nizhny Novgorod, Russia.
[2]	A. A. Rukhadze, A. Prokhorov General Physics Institute of the Russian Academy, Moscow, Russia.
[3]	F. F. Mende, B. Verkin Institute for Low Temperature Physics and Engineering NAS Ukraine, Kharkov, Ukraine.

Abstract

It is shown that definition of antisymmetric tensor for the density of the energy-momentum of free electromagnetic field in the vacuum gives the possibility to write down the system of vector equations of motion for such mechanical attributes of field as the pulse densities and energy. Simple relativistic formula is obtained for the 3-vector of the speed of the energy density of the traveling waves. The concepts of the density of kinetic energy and rest energy in accordance with are introduced by the principles of relativistic mechanics for the slow waves with the speed of the energy, which does not reach the speed of light. The identification of these values as checking formula for the 3-vector of speed, they are carried out based on the example of heterogeneous longitudinal-transverse plane wave, which is used in the boundary-value problems of electrodynamics in the theory of surface waves. It is shown with the aid of the Lorenz's conversions that the rapid surface Tsennek's wave which could be extended above the plane interface vacuum - sea water, does not satisfy the requirements the special theory of relativity.

Keywords

Maxwell's Equations, Lorenz's Conversions, Tsennek's Wave, Minkowski's Space

Reference

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