Light sources generating self-focusing beams of variable focal length

A class of partially coherent beams with a nonuniformly cosine-Gaussian (NUCG) correlated function is introduced. The evolution behavior of scalar beams produced by these families of sources in free space and isotropic random media are investigated. It is shown that such light fields with NUCG correlated function propagating in free space and turbulent atmosphere have self-focusing effects and laterally shifted intensity maxima. The new source employs cosine function for modeling of the source degree of coherence, which can adjust the self-focusing focal length, the shift of intensity center, and the intensity profile.