拉盖尔-高斯光束的近场矢量结构特征
Analytical vectorial structure of a Laguerre-Gaussian beam in the near field
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摘要: 直接以麦克斯韦方程组的解表征拉盖尔-高斯光束。基于麦克斯韦方程组解的矢量角谱表述和电磁光束的矢量结构理论，利用一些数学技巧导出了拉盖尔-高斯光束的TE项和TM项在近场的解析表达式。利用所导出的公式，在近场描绘了拉盖尔-高斯光束的TE项、TM项及整个光束的光强分布。并对角度依赖分别为余弦和正弦关系的拉盖尔-高斯光束的矢量结构进行了比较，结果显示两者整个光束的光斑完全相似，唯一的区别是子瓣的空间方位不同且两者的内部矢量结构完全不相同。Abstract: The description of a Laguerre-Gaussian beam is directly derived from the Maxwell’s equations. According to the vector spectrum representation of the Maxwell’s equations and the vectorial structure of an electromagnetic beam, the analytical TE and TM terms of a Laguerre-Gaussian beam in the near field are presented by means of some mathematical techniques. The light intensity distributions of a Laguerre-Gaussian beam, the TE term and the TM term are depicted in the near field, respectively. The vectorial structures of Laguerre-Gaussian beams are compared. The Laguerre-Gaussian beams, whose dependences on angle are respectively cosine and sine, have thoroughly alike whole beam spots with the only difference of spatial orientation of the sub lobes. However, their vectorial structure is dist
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Key words:
- laguerre-gaussian beams /
- vectorial structure /
- intensity distribution /
- near field
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