Abstract
We introduce a class of partially coherent sources with spatially nonuniformly correlation properties and an off-axis helicoidal phase. It is shown that the unique correlation and phase properties of such sources lead to radiated fields with extraordinary propagation characteristics, such as dark hollow with zero central intensity, self-focusing and lateral self-shifting light intensity. Based on such novel random sources, two types of nonuniformly correlated vortex beam arrays with radial and rectangular symmetry are explored. Analytical and numerical investigations for the evolutions of such light fields are made by the model decomposition representation of correlation function and fast Fourier transform method. The results demonstrate new opportunities for modeling off-axis self-focusing vortex beams and other beam shaping applications by joint modulation of coherence and phase.
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