复宗量拉盖尔-高斯光束通过矩形光阑的传输

基金项目:

国家高技术基金资助项目(A823070)

详细信息

Propagation of complex-argument Laguerre-Gaussian beams through a rectangular hard-edged aperture

1.
Institute of Optoelectronic Information, Yibin University, Yibin 644007, China;
2.
Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

摘要: 利用拉盖尔-高斯模和厄米-高斯模的变换公式,并使用将二维矩孔光阑窗口函数展开为有限个复高斯函数之和的方法,得到了复宗量拉盖尔-高斯(LG)光束通过含矩形硬边光阑近轴ABCD光学系统的变换的解析传输公式,并对复宗量LG光束通过矩形硬边光阑的衍射和聚焦特性进行了研究。该方法对研究有不同几何对称性光阑光学系统的光束变换是有用的。
- 激光光学 /
- 复宗量拉盖尔-高斯(LG)光束 /
- 矩形硬边光阑 /
- 复高斯函数
Abstract: Using the relations between Hermite and Laguerre-Gaussian(LG) modes and expanding the window function of two-dimensional rectangular hard-edged apertures into a finite sum of complex Gaussian functions,the propagation of complex-argument Laguerre-Gaussian beams through a paraxial optical ABCD system with a rectangular hard-edged aperture is studied.An analytical propagation equation is derived and used to study the diffraction at the rectangular hard-edged aperture and the focusing properties of complex-argument LG beams.The method proposed is useful for studying the beam transformation through an apertured optical system with different geometrical symmetry.
- laser optics /
- complex-argument Laguerre-Gaussian(LG) beam /
- rectangular hard-edged aperture /
- complex Gaussian function

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