Measurement of Topological Charge of Obstructed Wandering Vortex Beams

Fig. 1. Three superposition modes of off-axis multicenter vortex beams (the insets show the phase distribution of superimposed vortex beamlets there). (a) UCS vortex beam; (b) UIS vortex beam; (c) RIS vortex beam

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Fig. 2. Theoretical results of average light intensity and average OAM of three vortex beams. (a1)-(a4) UCS; (b1)-(b4) UIS; (c1)-(c4) RIS

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Fig. 3. Fourier intensity distribution of three off-axis vortex beams with m=1. (a1)-(a4) UCS; (b1)-(b4) UIS; (c1)-(c4) RIS

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Fig. 4. Phase distributions of three vortex beams with m=1. (a1)-(a4) UCS; (b1)-(b4) UIS; (c1)-(c4) RIS

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Fig. 5. One set of computational graphic holograms displayed by SLM

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Fig. 6. Schematic of experimental setup for the detection of the average OAM of three off-axis vortex beams

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Fig. 7. Experimental results of Fourier intensity distribution and average OAM of three off-axis vortex beams (m=1). (a1)-(a4) UCS; (b1)-(b4) UIS; (c1)-(c4) RIS

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Table 1. Average OAM of two multicenter vortex beams under the obstruction of SSOO at m=1

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Table 1. Average OAM of two multicenter vortex beams under the obstruction of SSOO at m=1

$α$ /（°）	$a = 0.6 w$ ， $c = 0.2 w$		$a = 1.2 w$ ， $c = 0.2 w$		$a = 0.6 w$ ， $c = 0.6 w$
$α$ /（°）	$l_{O A M, U I S}$ / $ℏ$	$l_{O A M, R I S}$ / $ℏ$	$l_{O A M, U I S}$ / $ℏ$	$l_{O A M, R I S}$ / $ℏ$	$l_{O A M, R I S}$ / $ℏ$
0	1.0226	1.0237	1.0057	0.9678	1.0399 0.7306 0.4815 0.1213
90	0.9439	0.9455	0.8811	0.8689
180	0.9578	0.9517	0.9608	0.8936
270	0.8869	0.8790	0.8503	0.6867

Table 2. Average OAM of two off-axis vortex beams under the obstruction of SSOO at m=-1 and $c = 0.6 w$
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Table 2. Average OAM of two off-axis vortex beams under the obstruction of SSOO at m=-1 and $c = 0.6 w$
$α$ /（°） $l_{O A M, U I S}$ / $ℏ$ $l_{O A M, R I S}$ / $ℏ$
0 -1.0863 -1.0273
90 -0.9760 -0.9712
180 -0.9740 -1.0646
270 -0.9449 -0.9674

Table 3. Average OAM of two off-axis vortex beams under different off-axis parameters with m=2
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Table 3. Average OAM of two off-axis vortex beams under different off-axis parameters with m=2
$α$ /（°） $c = 0.6 w$ $c = 1.2 w$
$l_{O A M, U I S}$ / $ℏ$ $l_{O A M, R I S}$ / $ℏ$ $l_{O A M, U I S}$ / $ℏ$ $l_{O A M, R I S}$ / $ℏ$
0 1.9816 1.9909 2.0171 1.9789
90 1.9638 1.9810 1.9627 1.9686
180 1.9687 1.9820 2.0027 1.9523
270 1.9168 1.9224 1.9384 1.8925

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Yansong Li, Jun Chen, Gangkun Fu, Guozhen Qi, Yan Shi, Chunliu Zhao, Shangzhong Jin. Measurement of Topological Charge of Obstructed Wandering Vortex Beams[J]. Acta Optica Sinica, 2023, 43(2): 0226002

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Paper Information

Category: Physical Optics

Received: Jun. 29, 2022

Accepted: Aug. 1, 2022

Published Online: Feb. 7, 2023

The Author Email: Chen Jun (chenjun.sun@cjlu.edu.cn), Jin Shangzhong (jinsz@cjlu.edu.cn)

DOI:10.3788/AOS0226002

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Average OAM of two multicenter vortex beams under the obstruction of SSOO at m=1

Table 1. Average OAM of two multicenter vortex beams under the obstruction of SSOO at m=1

Table 2. Average OAM of two off-axis vortex beams under the obstruction of SSOO at m=-1 and c=0.6w

Table 2. Average OAM of two off-axis vortex beams under the obstruction of SSOO at m=-1 and c=0.6w

Table 3. Average OAM of two off-axis vortex beams under different off-axis parameters with m=2

Table 3. Average OAM of two off-axis vortex beams under different off-axis parameters with m=2

Table 2. Average OAM of two off-axis vortex beams under the obstruction of SSOO at m=-1 and $c = 0.6 w$

Table 2. Average OAM of two off-axis vortex beams under the obstruction of SSOO at m=-1 and $c = 0.6 w$