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10Complex Systems of Charged Particles and their Interactions with Electromagnetic Radiation 2018
ELECTROMAGNETIC RADIATION LOCALIZATION IN THE EXTENDED SPACE
MODEL - PREDICTION AND LABORATORY TEST
1 2 V.A. Andreev , D.Yu. Tsipenyuk
1Lebedev Physical Institute RAS, Moscow, Russia, e-mail:andrvlad@yandex.ru 2Prokhorov General Physical Institute RAS, Moscow, Russia, e-mail:tsip@kapella.gpi.ru
Within the framework of the Extended space model (ESM) we consider the interaction of electromagnetic field with some material structures. In particular, such a structure is a waveguide. We investigate the localization of this field also. The extended space model is formulated in a 5-dimensional space. In the ESM 5-vectors of energy-momentum-mass are compared to particles and fields. They are a generalization of usual 4-vectors of energy-momentum. Accordingly, the tensor of electromagnetic field strengths acquires additional components. A vector field G and a scalar field Q are added to the electric and magnetic fields E and H. Together they form a tensor in the 5-dimensional Expanded space. In an empty space the electromagnetic field is described by an infinite plane wave. In this case the strengths G and Q are zero. But when the field begins to interact with external objects, their intensities become nonzero. Besides all components of the tension tensor are localized, and the field itself acquires a nonzero mass.
In the case when the waveguide is an external object, the appearance of new fields and their localization leads to the possibility of penetration into the waveguide and propagation along it of fields that had a frequency below the critical one in the free space. The process of generation of fields G and Q, the magnitude of their strengths, the localization parameters and the mass of the common field are described with the help of rotations in the Expanded space. We also consider the possibility of experimental verification of these theoretical assumptions.
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