Simulation for Measuring the Topological Charges of Composite Vortex Beams

$Distribution of far-field diffraction of composite beams through an elliptic aperture with different Δψ and β=30°. (a) Δψ=0°, l1=4; (b) Δψ=30°, l1=4; (c) Δψ=90°, l1=4; (d) Δψ=150°, l1=4; (e) Δψ=0°, l1=-4; (f) Δψ=30°, l1=-4; (g) Δψ=90°, l1=-4; (h) Δψ=150°, l1=-4$

Fig. 2. Distribution of far-field diffraction of composite beams through an elliptic aperture with different Δψ and β=30°. (a) Δψ=0°, l1=4; (b) Δψ=30°, l1=4; (c) Δψ=90°, l1=4; (d) Δψ=150°, l1=4; (e) Δψ=0°, l1=-4; (f) Δψ=30°, l1=-4; (g) Δψ=90°, l1=-4; (h) Δψ=150°, l1=-4

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Fig. 3. Intensity distribution of multiplexed beams with l1=4 and l2=10 at different distances. (a) z=1 km; (b) z=2 km; (c) z=3 km; (d) z=4 km

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$Intensity distribution of composite beams with different topological charges at z=2 km and its far-filed diffraction patterns through an ellipse aperture shielded from 30° to 60°$

Fig. 4. Intensity distribution of composite beams with different topological charges at z=2 km and its far-filed diffraction patterns through an ellipse aperture shielded from 30° to 60°

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Table 1. Topological charge values of composite beams, number of bright stripes in light intensity pattern and number of dark stripes in diffraction patterns
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Table 1. Topological charge values of composite beams, number of bright stripes in light intensity pattern and number of dark stripes in diffraction patterns
l₁ l₂ M=min( $\begin{matrix} |l_{1}| \end{matrix}$ , $\begin{matrix} |l_{2}| \end{matrix}$ ) N= $\begin{matrix} |l_{1} - l_{2}| \end{matrix}$
3 8 3 5
-3 8 3 11
-3 -8 3 5
3 -8 3 11
8 30 8 22
-8 30 8 38
-8 -30 8 22
8 -30 8 38

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Mao Ning, Wei Hongyan, Cai Dongmei, Jia Peng. Simulation for Measuring the Topological Charges of Composite Vortex Beams[J]. Chinese Journal of Lasers, 2019, 46(1): 104008

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