非傍轴四瓣高斯光束远场解析矢量结构
Analytical vectorial structure of non-paraxial four-petal Gaussian beams in the far field
摘要：
基于矢量角谱法和稳相法研究了非傍轴四瓣高斯光束远场的解析矢量结构。根据TE项和TM项的解析电磁表示，分别导出了远场TE项、TM项和整个束流的能流分布。根据我们的研究，FPGA在远场可以演化成许多小的花瓣。瓣的数目由输入光束的阶数决定。从矢量结构的角度很好地描述了FPGA的物理图像，有助于加深对FPGA矢量特性的理解。
英文摘要：
The analytical vectorial structure of non-paraxial four-petal Gaussian beams(FPGBs) in the far field has been studied based on vector angular spectrum method and stationary phase method. In terms of analytical electromagnetic representations of the TE and TM terms, the energy flux distributions of the TE term, the TM term, and the whole beam are derived in the far field, respectively. According to our investigation, the FPGBs can evolve into a number of small petals in the far field. The number of the petals is determined by the order of input beam. The physical pictures of the FPGBs are well illustrated from the vectorial structure, which is beneficial to strengthen the understanding of vectorial properties of the FPGBs.
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