Theoretical and experimental studies of a rectangular Laguerre–Gaussian-correlated Schell-model beam
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We introduce a new kind of partially coherent beam with nonconventional correlation function named rectangular Laguerre–Gaussian-correlated Schell-model (LGCSM) beam, whose degree of coherence is of rectangular symmetry, and analyze its propagation properties. We find that the rectangular LGCSM beam exhibits self-splitting properties on propagation in free space, i.e., the initial single beam spot evolves into (m + 1) × (n + 1) beam spots on propagation with m and n being the beam orders, which are totally different from that of a circular or elliptical LGCSM beam. The self-splitting properties of a rectangular LGCSM beam are also different from other self-splitting beam whose initial single beam spot only splits into two or four beam spots on propagation in free space. We also find that a focused rectangular LGCSM beam exhibits splitting and combining properties on propagation. Furthermore, we carry out experimental generation of a rectangular LGCSM beam and verify the splitting and combining properties of such beam focused by a thin lens. The rectangular LGCSM beam will be useful for manipulating multiple particles or attacking multiple targets simultaneously.
KeywordsFocal Plane Beam Spot Source Plane Coherent Beam Output Plane
This research is supported by the National Natural Science Fund for Distinguished Young Scholar under Grant No. 11525418, the National Natural Science Foundation of China under Grant Nos. 11274005, 11474213, and 11404007, the project of the Priority Academic Program Development (PAPD) of Jiangsu Higher Education Institutions, Anhui Provincial Natural Science Foundation of China under Grant No. 1408085QF112, and the Innovation Plan for Graduate Students in the Universities of Jiangsu Province under Grant Nos. KYLX-1218 and KYLX15-1254.