Propagation Properties of Radially-Polarized Vector Beams Under a Turbulent Atmosphere

Jianqiang Zhang; Yanwang Zhai; Shiyao Fu; Chunqing Gao

doi:10.3788/AOS202040.1101001

Acta Optica Sinica, Volume. 40, Issue 11, 1101001(2020)

Propagation Properties of Radially-Polarized Vector Beams Under a Turbulent Atmosphere

Jianqiang Zhang^1,2, Yanwang Zhai^1,2, Shiyao Fu^1,2, and Chunqing Gao^1,2、*

Author Affiliations

¹School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China

²Key Laboratory of Photonic Information Technology, Ministry of Industry and Information Technology, Beijing 100081, China

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Figures & Tables(12)

Fig. 1. Combination synthetic diagram of radially-polarized vector beams. (a) Combined by circularly-polarized beams; (b) combined by linearly-polarized beams (p=0,l=1)

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Fig. 2. Propagation system of radially-polarized vector beam under different atmospheric turbulences

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Fig. 3. Atmospheric turbulence phase screens. (a) Weak turbulence phase screen; (b) strong turbulence phase screen

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Fig. 4. Stokes vectors of the 1^st order radially-polarized vector beam under weak turbulence and strong turbulence

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Fig. 5. Stokes vectors of the 5^th order radially-polarized vector beam under weak turbulence and strong turbulence

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Fig. 6. Stokes vectors of the 9^th order radially-polarized vector beam under weak turbulence and strong turbulence

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Fig. 7. Intensity distributions of the scalar vortex beam under atmospheric turbulence

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Fig. 8. SI of vector beams and the scalar beam under atmospheric turbulence at different propagation distances. (a) Weak turbulence; (b) strong turbulence

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Fig. 9. Absolute average gradient SI of vector beams under different atmospheric turbulences

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Fig. 10. Radial deviations of vector beams and the scalar beam under different atmospheric turbulences at different propagation distances. (a) Weak turbulence; (b) strong turbulence

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Table 1. Scintillation indexes of vector beams under different atmospheric turbulences at different propagation distances

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Table 1. Scintillation indexes of vector beams under different atmospheric turbulences at different propagation distances

Propagation distance	100 m	200 m	300 m	400 m	500 m	600 m	700 m	800 m	900 m	1000 m
l=1, weak turbulence	0.0447	0.0595	0.1353	0.2200	0.2911	0.4160	0.5337	0.7181	0.8580	1.0956
l=1, strong turbulence	0.1963	0.5340	1.1271	2.1422	2.9896	4.3135	5.5241	6.9385	8.2400	9.1586
l=3, weak turbulence	0.0437	0.0795	0.1383	0.2259	0.3027	0.4248	0.5104	0.6682	0.8259	1.0568
l=3, strong turbulence	0.1954	0.6017	1.1074	2.0919	2.9733	4.2868	5.4901	6.7790	8.0844	8.9351
l=5, weak turbulence	0.0429	0.0576	0.1186	0.2008	0.2925	0.4242	0.5365	0.6917	0.8424	1.0222
l=5, strong turbulence	0.1946	0.6694	1.1194	2.0182	2.9383	4.1555	5.3884	6.7338	7.9770	8.7683
l=7, weak turbulence	0.0422	0.0744	0.1284	0.2165	0.2890	0.3949	0.4892	0.6367	0.7878	1.0153
l=7, strong turbulence	0.1939	0.6724	1.1614	1.9908	2.9443	4.1180	5.3657	6.6732	7.9196	8.6863
l=9, weak turbulence	0.0414	0.0742	0.1283	0.2008	0.2698	0.3845	0.4732	0.6135	0.7843	1.0381
l=9, strong turbulence	0.1933	0.6844	1.1988	2.0143	2.9745	4.1257	5.2897	6.6055	7.7261	8.4927

Table 2. Radial deviations of vector beams at different propagation distancesmm

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Table 2. Radial deviations of vector beams at different propagation distancesmm

Propagation distance	100 m	200 m	300 m	400 m	500 m	600 m	700 m	800 m	900 m	1000 m
l=1, weak turbulence	0.0011	0.0048	0.0093	0.0147	0.0210	0.0274	0.0368	0.0463	0.0567	0.0697
l=1, strong turbulence	0.0046	0.0116	0.0249	0.0443	0.0699	0.0898	0.1163	0.1383	0.1663	0.1979
l=3, weak turbulence	0.0006	0.0042	0.0088	0.0141	0.0205	0.0264	0.0359	0.0449	0.0549	0.0678
l=3, strong turbulence	0.0042	0.0093	0.0197	0.0354	0.0565	0.0716	0.0932	0.1106	0.1331	0.1574
l=5, weak turbulence	0.0007	0.0044	0.0090	0.0148	0.0216	0.0279	0.0378	0.0471	0.0576	0.0708
l=5, strong turbulence	0.0037	0.0078	0.0163	0.0292	0.0467	0.0582	0.0756	0.0887	0.1061	0.1249
l=7, weak turbulence	0.0010	0.0048	0.0098	0.0161	0.0239	0.0312	0.0417	0.0517	0.0632	0.0770
l=7, strong turbulence	0.0032	0.0060	0.0125	0.0226	0.0365	0.0446	0.0579	0.0670	0.0798	0.0938
l=9, weak turbulence	0.0013	0.0051	0.0103	0.0171	0.0256	0.0336	0.0446	0.0552	0.0674	0.0819
l=9, strong turbulence	0.0026	0.0042	0.0090	0.0166	0.0274	0.0325	0.0425	0.0486	0.0578	0.0681

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Jianqiang Zhang, Yanwang Zhai, Shiyao Fu, Chunqing Gao. Propagation Properties of Radially-Polarized Vector Beams Under a Turbulent Atmosphere[J]. Acta Optica Sinica, 2020, 40(11): 1101001

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Paper Information

Category: Atmospheric Optics and Oceanic Optics

Received: Dec. 25, 2019

Accepted: Feb. 27, 2020

Published Online: Jun. 10, 2020

The Author Email: Gao Chunqing (gao@bit.edu.cn)

DOI:10.3788/AOS202040.1101001

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