为了探讨非相干叠加光束携带C点偶极子的演化特性, 推导了携带C点偶极子的高斯光束非相干叠加传输表达式, 并进行了数值模拟研究。结果表明,构成C点偶极子的两个C点的位置和偏振度会随着相关参数的变化而改变;在旁轴情形下, 没有C点产生和湮灭, 并且这两个C点连线的斜率随着传输距离的增加而单调增加;在非旁轴情形下, 当光束传输到z= 0.01zR时, 有多个C点偶极子产生, 在z=10.39zR时又出现C点偶极子的湮灭;在瑞利距离zR处, 光腰半径增加到 0.222μm和0.56μm时分别出现C点偶极子的产生和湮灭; 随着离轴距离和光束波长的变化, 也出现C点的产生和湮灭。研究结果对深入理解偏振奇点矢量光束和寻找奇点光学潜在应用具有一定参考价值。

The evolution of the incoherent superposition of two nonparaxial Gaussian beams carried a C-dipole was theoretically and numerically studied. The results show that the position and degree of polarization of two C-points may change with variation of the relevant parameters. The slope of the axis of the C-dipole increases monotonically with propagation. For the case of non-paraxial beams, creation and annihilation of C-dipoles occur as the beams propagate to 0.01zR and 10.39zR, respectively. At the plane z=zR, the creation and annihilation of C-points respectively occurs when the waist width increases to 0.222μm and 0.56μm. Besides, the creation and annihilation of C-points may take place with variation of the off-axis parameter and the wavelength of the host nonparaxial beams. The results would be useful for deeply understanding singular optics and seeking for their potential applications.