Vector beams with the desired polarization structure interacting with matter result in many novel nonlinear optical effects. Herein, we review the tight focusing and weak focusing properties of three types of light beams, namely, linearly polarized beams, cylindrical vector beams, and hybridly polarized beams. In particular, we revisit the second- and third-order nonlinear optical effects in nonlinear optical media under the excitation of several types of vector beams with the desired polarization distribution. The prospects of their applications in nonlinear optical microscopy and materials characterization are also briefly discussed.

中文翻译：

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矢量光束激发非线性光学效应

具有所需偏振结构的矢量光束与物质相互作用会产生许多新颖的非线性光学效应。在这里，我们回顾了三种光束的紧密聚焦和弱聚焦特性，即线性偏振光束、柱面矢量光束和混合偏振光束。特别是，我们重新审视了在具有所需偏振分布的几种矢量光束的激发下，非线性光学介质中的二阶和三阶非线性光学效应。还简要讨论了它们在非线性光学显微镜和材料表征中的应用前景。