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通过将扭曲高斯谢尔模光束入射到波前折叠干涉仪（WFI）,我们构建了一类镜像与反镜像扭曲高斯谢尔模光束，并研究了光束在传输过程中的二阶统计特性。结果表明，变换光场仍保持扭曲效应，其光谱密度和光谱相干度在传输过程中绕轴旋转，但二者的旋向相反。值得注意的是，扭曲相位不仅能控制光场的旋转速度，还能有效调控光斑的整体轮廓分布，而中心区域的光斑模式则由WFI的相位差调控主导，具体表现为镜像扭曲光场在传输过程中始终表现为中央亮斑分布，反镜像扭曲光场则表现为中央暗核分布。此外，我们证明了光场的光谱相干度可由光源相干性、扭曲相位和WFI相位差等参数灵活调制。本研究结果对于自由空间光通信以及微粒捕获等领域有重要应用价值。We introduce a class of specular and antispecular twisted Gaussian Schell-model beams, which are generated by inserting a twisted Gaussian Schell-model beam into a wavefront folding interferometer (WFI). The analytical expression for the cross-spectral density function of the beam propagating in free space is derived, and the statistical properties of the optical field are investigated in detail. The results show that the twisted effect maintains after the transformation, and the spectral density of the light field always rotates to 90 degrees around the axis during propagation. Furthermore, with appropriate optical field adjustment, the twist effect of the spectral degree of coherence (DOC) could be observed, but in opposite directions to the irradiance profile. We also find that the twisted phase not only controls the rotation of the field, but also effectively modulates the overall spot contour. For the far-field spectral density distribution, a larger twist effect would induce a smaller ellipticity of the beam spot. However, the intensity pattern in the central area is mainly determined by the phase difference of WFI. To be specific, the specular twisted field always has a sharp central peak during propagation, and in the antispecular case it has a central dip. Besides, the DOC distribution could be flexibly adjusted by the source coherence, the twisted phase and the phase difference of the WFI. The results of our work have important applications in the fields of free-space beam communication as well as particle trapping.
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Keywords:
- Partially coherent beams /
- Specular and antispecular /
- Twisted phase /
- Propagation
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