In a recent publication [Opt. Lett. 43,4727 (2018)], a novel class of partially coherent sources with complex degrees of coherence was introduced. In this paper, we obtain the expression of the cross-spectral density function of the self-shifting beam generated from a light source propagating in random media. Then we calculated and simulated the behaviors of the spectral density and the spectral degree of coherence in the propagation. The results show that there will be a phenomenon of self-shifting in propagation, and the coherence of the beam is Gaussian when it is far enough from the light source. The light intensity is weakened with an increase in turbulence, while the wander of the center of the spectral density remains unchanged in different media. (C) 2020 Optical Society of America
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