硬边衍射四瓣高斯光束的远场矢量结构
Vectorial structure of a hard-edged-diffracted four-petal Gaussian beam in the far field
摘要：
基于矢量角谱法和稳相法，利用圆孔函数可以展开为复高斯函数的有限和这一事实，导出了四瓣高斯光束经圆孔衍射后远场的解析矢量结构。研究了能流分布和孔径引入的衍射效应，并用图形说明。此外，还详细讨论了f参数和截断参数对非傍轴性的影响。此外，当截断参数趋于无穷大时，本文所得到的解析公式可以退化到无孔情况。这一工作有助于加深对FPGB经圆孔衍射的矢量特性的理解。
英文摘要：
Based on the vector angular spectrum method and the stationary phase method and the fact that a circular aperture function can be expanded into a finite sum of complex Gaussian functions, the analytical vectorial structure of a four-petal Gaussian beam (FPGB) diffracted by a circular aperture is derived in the far field. The energy flux distributions and the diffraction effect introduced by the aperture are studied and illustrated graphically. Moreover, the influence of the f-parameter and the truncation parameter on the nonparaxiality is demonstrated in detail. In addition, the analytical formulas obtained in this paper can degenerate into un-apertured case when the truncation parameter tends to infinity. This work is beneficial to strengthen the understanding of vectorial properties of the FPGB diffracted by a circular aperture.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
