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In the present paper the new strict solutions of Maxwell equations and vector wave equation for different modes of an electromagnetic field of nondiffraction beams of a light are obtained. It is shown, that the set of solutions is multiparameter and consequently there is an arbitrariness in choice of main types of modes. The expressions for the polarization characteristics of different Te and TM modes of Bessel beams are obtained. The principle of reciprocity permitting to realize transition from E-modes to M-modes and backward is justified. Their average density of energy and Poynting's vector have been calculated. The main legitimacies of TE and TM modes are established. The obtained results may be used in the description of the transformation of Bessel light beams of different types.
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Sergey S. Girgel, Svetlana N. Kurilkina, "Vector properties of Bessel light beams," Proc. SPIE 4358, Optics of Crystals, (15 March 2001); https://doi.org/10.1117/12.418865