Two types of partially coherent beams with sinc Schell-model-correlated function are introduced. The evolution behaviors of scalar beams generated by these two types of sources in free space are investigated with the help of the weighted superposition method and numerical examples. It is illustrated that the far field produced by these two novel sources carry tunable flat and dark hollow profiles, respectively. Our results suggest two new kinds of modal structure of the correlation source and of the optical field that such sources produce.
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Zhangrong Mei (2014) studied this question.
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