We perform a theoretical study on the two-photon scattering effect of a single Mie scatterer, and investigate its dependence on the rotation angle of the scatterer, and the wavelength and polarization of incident light. Different regions of the two-photon correlation map are recognized by investigating two parameters, i.e., the visibility of two-photon superposition that represents the path information of different two-photon paths, and the balance factor of the double-side single-photon scattering amplitude that indicates the possibility of the single-photon scattering process. It is shown that the two-photon scattering pattern is a result of two-photon interference from the incoherent to fully coherent regime, together with a contribution from a single-photon-like correlation. In the coherent two-photon interference region, it is found that the transition from destructive to constructive interference emerges by rotating the scatterer, as well as by changing the polarization of incident light. These results demonstrate the rich features of the two-photon scattering effect for a single Mie scatterer, and open new possibilities to explore nano scatterers for controlling two-photon interference, and their applications in communications, sensing, and imaging.

中文翻译：

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单个米氏散射体的双光子散射效应

我们对单个 Mie 散射体的双光子散射效应进行了理论研究，并研究了其对散射体旋转角度以及入射光的波长和偏振的依赖性。通过考察代表不同双光子路径的路径信息的双光子叠加的可见度和双面单光子散射的平衡因子这两个参数来识别双光子相关图的不同区域表示单光子散射过程的可能性的振幅。结果表明，双光子散射模式是从非相干到完全相干状态的双光子干涉的结果，以及来自类似单光子的相关性的贡献。在相干双光子干涉区，发现从相消干涉到相长干涉的转变是通过旋转散射体以及改变入射光的偏振而出现的。这些结果证明了单个 Mie 散射体的双光子散射效应的丰富特征，​​并为探索纳米散射体控制双光子干涉及其在通信、传感和成像中的应用开辟了新的可能性。