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Statistical properties of partially coherent polarization singular vector beams
Physical Review A ( IF 2.9 ) Pub Date : 2021-05-04 , DOI: 10.1103/physreva.103.053502
Stuti Joshi , Saba N. Khan , P. Senthilkumaran , Bhaskar Kanseri

We investigate the statistical properties of partially coherent polarization singular beams embedded with a V-point polarization singularity. An analytical formula for the cross-spectral density matrix is derived for the family of partially coherent polarization singular vector beams (PSVBs) propagating through a paraxial ABCD optical system. It is observed that the far-field intensity profiles and the coherence-induced depolarization effect in partially coherent PSVBs depend on both the input spatial coherence length and the Poincaré-Hopf index (PHI) of the beam. Interestingly, it is found that in this process of coherence degradation, the polarization (Stokes, S12) vortices are preserved. The depolarization is due to an enhanced unpolarized light field that in turn modulates the beam profile, the transverse distribution of the degree of polarization (DOP) and the degree of coherence (DOC). Furthermore, the Gaussian distribution of the DOC evolves into a non-Gaussian profile in the far-field with the number of ring dislocations equal to the magnitude of PHI of the beam. The degeneracy associated with the intensity profile, the Stokes intensity distribution, the DOP, and DOC profiles of these partially coherent PSVBs carrying opposite polarity of PHI are also discussed to complete this study. Subsequently, all of these findings are experimentally verified by generating a family of partially coherent PSVBs with controllable spatial coherence. The modulation of the spatial coherence length in the source plane leads to efficient control of its intensity, the DOC and DOP profiles on propagation, which are of importance in particle trapping, material thermal processing, free-space optical communications, and detection of a phase object.

中文翻译:

部分相干偏振奇异矢量束的统计性质

我们研究嵌入V点偏振奇异性的部分相干偏振奇异光束的统计特性。推导了通过近轴ABCD光学系统传播的部分相干偏振奇异矢量光束(PSVB)族的跨谱密度矩阵的解析公式。可以观察到,部分相干PSVB中的远场强度分布和相干引起的去极化效果取决于输入空间相干长度和光束的庞加莱霍夫指数(PHI)。有趣的是,发现在相干性降低的过程中,极化(斯托克斯,小号12)涡流得以保留。去极化归因于增强的非偏振光场,该非偏振光场又调制了光束轮廓,偏振度(DOP)和相干度(DOC)的横向分布。此外,DOC的高斯分布在远场中演变成非高斯分布,其环位错数等于光束PHI的大小。还讨论了与这些带有相反PHI极性的部分相干PSVB的强度分布,斯托克斯强度分布,DOP和DOC分布相关的简并性,以完成本研究。随后,所有这些发现均通过生成具有可控空间相干性的部分相干PSVB家族进行了实验验证。
更新日期:2021-05-04
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