A method for judging topological charges by using phase singularities
A technology of topological charges and singular points, applied in the field of judging topological charges by using phase singular points
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[0060] Select the theoretical formula for the superposition of n vortex beams in an arithmetic sequence (with a tolerance of Δ), and discuss the position of the phase singularity of the superposition of multiple Laguerre Gaussian (LG) beams;
[0061] Laguerre Gaussian (LG) beam superposition can present different intensity and phase distribution characteristics. According to the geometric relationship of multiple LG beams, when the central light intensity is zero and the phase of the light wave cannot be determined, the structure of the dark spot is formed, that is, the phase singularity. Through numerical calculation and analysis, it is considered that the n beams are distributed in an arithmetic sequence, that is, the arithmetic difference is Δ Superposition of LG beams, angular solution of phase singularity θ i Values are:
[0062]
[0063] In a vortex beam, θ i The value range is 0i <2π. Therefore, the value of k is:
[0064]
[0065] Among them, k is a paramet...
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