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| 厄米-高斯光束通过圆孔衍射的两种计算方法比较 | |
| 引用本文： | 杨平,顾菊观,张亚萍,陈小燕,沈曼辰. 厄米-高斯光束通过圆孔衍射的两种计算方法比较[J]. 物理与工程, 2011, 21(5): 20-23 |
| 作者姓名： | 杨平 顾菊观 张亚萍 陈小燕 沈曼辰 |
| 作者单位： | 湖州师范学院理学院,浙江湖州,313000 |
| 基金项目： | 2010年浙江省自然科学基金项目(Y6100605); 2008年省新世纪高等教育教学改革研究项目(YB08064); 湖州师范学院大学生科研项目资助 |
| 摘 要： | 应用Collins公式和硬边圆孔函数拓展为有限复高斯函数和的方法，推导出厄米-高斯（Hermite—Gaussian）光束通过圆孔的衍射场分布的近似解析公式．模拟结果表明使用该解析公式所得结果和直接对Collins公式进行数值计算的结果符合较好，并讨论两种方法的差异性以及各自的优缺点． |
| 关 键 词： | 厄米-高斯光束 圆孔 衍射 Collins公式 |
COMPARISON OF TWO KINDS OF CALCULATION METHODS FOR CIRCULAR APERTURE DIFFRACTION OF HERMITE-GAUSSIAN BEAMS |
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| Yang Ping,Gu Juguan,Zhang Yaping,Chen Xiaoyan,Shen Manchen. COMPARISON OF TWO KINDS OF CALCULATION METHODS FOR CIRCULAR APERTURE DIFFRACTION OF HERMITE-GAUSSIAN BEAMS[J]. Physics and Engineering, 2011, 21(5): 20-23 | |
| Authors: | Yang Ping Gu Juguan Zhang Yaping Chen Xiaoyan Shen Manchen |
| Affiliation: | Yang Ping Gu Juguan Zhang Yaping Chen Xiaoyan Shen Manchen(College of Science,Huzhou Normal College,Huzhou,Zhejiang 313000) |
| Abstract: | By means of Collins formula and the method that a hard-edge circular aperture function can be expanded into a finite sum of complex Gaussian functions,the approximate analytical expression of circular aperture diffraction field of Hermite-Gaussian beam was derived.The simulation results showed that the analytical results accorded with the results obtained by straightforward integral of the Collins formula.The differences between two methods,and the merits and shortcomings of each were discussed. |
| Keywords: | Hermite-Gaussin beam circular aperture diffraction Collins formula |
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