C点偶极子通过海洋湍流的演化

陈海涛; 李强; 高曾辉

doi:10.37188/CO.2025-0107

C点偶极子通过海洋湍流的演化

doi: 10.37188/CO.2025-0107

cstr: 32171.14.CO.2025-0107

陈海涛^1, ,,
李强²,
高曾辉^3, ,

1.
成都师范学院物理与电子工程学院, 四川成都 611130
2.
攀枝花学院钒钛学院, 四川攀枝花 61700
3.
宜宾学院四川省计算物理高校重点实验室, 四川宜宾 644000

基金项目: 国家自然科学基金（61275203）；四川省自然科学基金（2018JY0422）

详细信息

作者简介:
陈海涛（1967—），男，河南汝州人，博士，教授，主要从事金宝搏188软件怎么用传输与控制研究。E-mail：chqcht@sina.com

高曾辉（1965—），男，四川宜宾人，博士，教授，硕士生导师，主要从事金宝搏188软件怎么用传输特性研究。E-mail：Gaozh66@163.com

中图分类号: O436
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出版历程
- 收稿日期: 2025-08-12
- 录用日期: 2025-10-14
- 网络出版日期: 2025-11-11

Evolution of the C-point dipole in oceanic turbulence

CHEN Hai-tao^{1
, ,},
LI Qiang²,
GAO Zeng-hui^{3
, ,}

1.
College of Physics and Engineering, Chengdu Normal University, Chengdu 611130, China
2.
College of Vanadium and Titanium, Panzhihua University, Panzhihua 617000, China
3.
Computational Physics Key Laboratory of Sichuan Province, Yibin University, Yibin 644000, China

Funds: Supported by the National Natural Science Foundation of China (No. 61275203), Sichuan Province Science and Technology Support Program (No. 18ZA0081)

More Information

Corresponding author: chqcht@sina.com; Gaozh66@163.com

摘要

摘要:
目的：为探究寄存于部分相干矢量光束的C点偶极子海洋湍流中演化规律，构建了C点偶极子的高斯-谢尔模涡旋(GSMV)光束,并据此对C点偶极子在海洋湍流中演化行为进行研究。方法：根据部分相干矢量光束偏振奇点概念，构造了GSMV光束，实现部分相干光束携带一对带相反拓扑电荷C点偶极子。再根据扩展惠更斯-菲涅耳原理和数学积分公式，推导出携带C点偶极子的GSMV光束通过海洋湍流的谱密度表示式。最后运用该表达式以及复斯托克斯场S₁₂ = S₁ + iS₂等相位图，模拟计算并分析讨论光束传播距离z、光束初始离轴参数s与相干长度δ对C点偶极子海洋湍流中演化行为影响。结果：当GSMV光束传输时，构成偶极子的C点位置和偏振度均会变化。当参数s、δ或z变化时，虽然有新的C点产生，也有带相反拓扑电荷的C点发生湮没，但光场中偏振奇点总的拓扑电荷保持守恒。结论：携带C点偶极子的部分相干矢量光束在海洋湍流中传输时，该光束的离轴参数、相干长度、湍流强度或传输距离对C点偶极子演化均有影响。
- 奇点光学 /
- 偏振奇点 /
- C点 /
- 海洋湍流
Abstract:
Objetive: In order to find out performance of the C-point dipole nested in partially coherent stochastic vortex beam in oceanic turbulence, the Gaussian-Schell model vortex (GSMV) beam carrying a C-point dipole is constructed, which is used to find out the evolution property of the C-point dipole in oceanic turbulence. Method: According to the definition of the polarization singularities from partially coherent vector beams, the GSMV beam carrying a C-point dipole is constructed. According to the extended Huygens–Fresnel principle, the formula of the cross-spectral density (CSD) for the GSMV beam propagating through oceanic turbulence is deduced by use of the integral formula. In accordance with the formula of the CSD derived above, the effects of propagation distance z, the off-axis parameter s and coherent length δ on the evolution behavior of the C-point dipole is illustrated and analyzed. The position of a C point can be determined by the contour lines of phase of Stokes field S₁₂ = S₁ + iS₂. The degree of polarization of a C point can be calculated by spectral Stokes parameters, while its topological charge can be judged by the sign principle which was proposed by Freund. Result: It is shown that, the position and the degree of polarization of the C points may be changed with propagation of the host beam. Though the creation and annihilation of C points may occur with variation of the propagation distance, the total of the topological charges of C points of the beam hold consistent. Besides, as the off-axis parameters are chosen as opposite numbers, the numbers of C points from the optical fields are equal. Conclusion: when the partially coherent vortex beam carrying a C-point dipole propagates in oceanic turbulence, the evolution behavior of the C-point dipole is affected by the propagation distance of the host beam, the off-axis parameter, turbulence intensity as well as the spatial coherent length.
- Singular optics /
- polarization singularities /
- C point /
- oceanic turbulence

HTML全文

图 1 GSMV光束在初始平面处 (a) S₁ = 0, S₂ = 0线；(b) S₁₂等相位图

Figure 1. The curves of S₁ = 0, S₂ = 0 (a) and contour lines of phase of S₁₂ (b) for the GSMV beam at the source plane

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图 4 海洋湍流中GSMV光束在不同湍流强度和相干长度情形下的 S₁₂ 相位分布。(a) T = 1.18×10⁻¹², δxx = 0.03 mm, z = 5 m；(b) T = 1.18×10⁻¹², δxx = 0.03 mm, z = 80 m；(c) T = 1.18×10⁻¹², δxx = 0.15 mm, z = 5 m；(d) T = 1.18×10⁻¹², δxx = 0.15 mm, z = 50 m；(e) T = 1.18×10⁻¹¹, δxx = 0.15 mm, z = 5 m；(f) T = 1.18×10⁻¹¹, δxx = 0.15 mm, z = 30 m

Figure 4. Contour lines of phase of S₁₂ for GSMV beam for different values of theturbulence intensity and coherent length. (a) T = 1.18×10⁻¹², δxx = 0.03 mm, z = 5 m; (b) T = 1.18×10⁻¹², δxx = 0.03 mm, z = 80 m; (c) T = 1.18×10⁻¹², δxx = 0.15 mm, z = 5 m; (d) T = 1.18×10⁻¹², δxx = 0.15 mm, z = 50 m; (e) T = 1.18×10⁻¹¹, δxx = 0.15 mm, z = 5 m; (f) T = 1.18×10⁻¹¹, δxx = 0.15 mm, z = 30 m

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图 2 GSMV光束通过海洋湍流传输到不同传输距离处 S₁₂等相位图。 (a) z = 1 m；(b) z = 4.5 m；(c) z = 7 m；(d) z = 15.5 m

Figure 2. Contour lines of S₁₂ for the GSMV beam propagating in oceanic turbulence. (a) z = 1 m; (b) z = 4.5 m; (c) z = 7 m; (d) z = 15.5 m

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图 3 GSMV光束海洋湍流中不同离轴参数 s 的 S₁₂等相位图。 (a) s = −0.8 mm；(b) s = −0.46 mm；(c) s = −0.41 mm； (d) s = 0.41 mm; (e) s = 0.46 mm; (f) s = 0.8 mm

Figure 3. Contour lines of S₁₂ for the GSMV beam with different off-axis parameter. (a) s = −0.8 mm; (b) s = −0.46 mm; (c) s = −0.41 mm; (d) s = 0.41 mm; (e) s = 0.46 mm; (f) s = 0.8 mm

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