Study on the Interference Characteristics of Vortex Beams

LIANG Chenggong, YANG Ying, WEI Min, DUAN Zhiyan

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Journal of Shanxi University(Natural Science Edition) ›› 2025, Vol. 48 ›› Issue (3) : 527-541. DOI: 10.13451/j.sxu.ns.2025010
Physics

Study on the Interference Characteristics of Vortex Beams

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Abstract

In this paper, we used MATLAB (MATrix LABoratory) to simulate the interference patterns of two fractional-order vortex beams (Laguerre-Gaussian beams) with opposite topological charges (l), as well as the interference patterns of two unequal vortex beams (Laguerre-Gaussian beams) with different topological charges, in which the radial indices (p) are arbitrary non-negative integers. Through theoretical analysis, we found that as the topological charges and radial indices of the beams change, the interference patterns of the Laguerre-Gaussian beams change accordingly. The number of spots in the interference pattern of the equal-heterodyne fractional-order Laguerre-Gaussian beam is 2 l, and the number of spot layers is p+1; the interference result of the non-equal-heterodyne Laguerre-Gaussian beam is similar to that of the equal-heterodyne Laguerre-Gaussian beam. In the interference pattern of non-equal same-sign Laguerre-Gaussian beams, when the absolute value of the difference in topological charges is small, the number of bright spots is l 2 - l 1. When this absolute value is large, a pattern of alternating bright and dark concentric rings appears. Our work may provide a new method for measuring the topological charges and radial indices of vortex beams.

Key words

vortex beams / Laguerre-Gaussian beam / number of topological charges / radial index / interference

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LIANG Chenggong , YANG Ying , WEI Min , et al. Study on the Interference Characteristics of Vortex Beams. Journal of Shanxi University(Natural Science Edition). 2025, 48(3): 527-541 https://doi.org/10.13451/j.sxu.ns.2025010

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