Analytical study of the self-reconstruction of a partially coherent Gaussian Schell-model beam

An analytical expression for partially coherent Gaussian Schell-model (GSM) beams partially blocked by an opaque obstacle is derived. Based on the formula, the self-reconstruction is studied in detail. It is found that the reconstruction process, characterized by the reconfiguration distance that is defined in this paper, is long when the beam size is large or the obstacle size is large or the coherence length is large. Moreover, we find that there is one condition for the existence of the self-reconstruction effect of a partially coherent GSM beam. Our findings are useful in optical tweezers and optical trapping.