Effect of optically gyrotropic active media on Bessel beams

Using non-diffracting beams (such as the Bessel beam) as an example, characteristic equations for the constants of beam propagation along the axis of the beam and the amplitude coefficients of the eigenmodes are found. It is shown that the constants of propagation and the amplitude coefficients do not depend on a specific class of non-diffracting beams but are determined exclusively by the characteristics of the crystal and the transverse wave number of the beam, which is specified experimentally. The eigenmodes of all non-diffracting beams are a superposition of TE and TM modes with the corresponding amplitude coefficients.