Average characteristics of a partially coherent Bessel-Gauss optical beam are treated by using the paraxial approximation. The intensity distribution, as well as the coherence properties of the source, is assumed to vary in the azimuthal direction. The transport of the mean-squared width of the beam in the propagation direction is determined. The variation of the mean squared width of the beam in the azimuthal direction is investigated. The anisotropy of the intensity distribution can be balanced against the anisotropic coherence properties to obtain an optical beam whose mean-squared width in the far zone is a constant in the azimuthal direction.
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