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We introduce a method for detecting the topological charge of power-exponential-phase vortex beam(PEPVB) and its power-exponent parameter by using a Laguerre-Gaussian beam that interferes with a PEPVB. The intensity shows a unique flower pattern after interference. According to the number of petals l-l0 and the topological charge of LG light l0 , we can obtain the topological charge of the PEPVB π. One of the most significant characteristics of PEPVB is the petals in the interference pattern become narrower clockwise. Moreover, the angle of the largest petal Δφ gradually decreases with an increasing power-exponent parameter. By measuring the angle φ1, φ2, the value of the power-exponent parameter π can be calculated.
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Ziwei Ye, Yihua Bai, Yuanjie Yang, "Detection of the power-exponent-phase vortex beams by interference," Proc. SPIE 11850, First Optics Frontier Conference, 118501B (18 June 2021); https://doi.org/10.1117/12.2599756