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截断参数对透镜衍射场分布的影响
引用本文:杨绍甫,白建平,张耀举.截断参数对透镜衍射场分布的影响[J].河南师范大学学报(自然科学版),2009,37(3).
作者姓名:杨绍甫  白建平  张耀举
作者单位:1. 许昌职业技术学院,信息工程系,河南,许昌,461000
2. 南阳师范学院,物理系,河南,南阳,473000
3. 温州大学,物理与电子信息学院,浙江,温州,325035
摘    要:基于菲涅尔衍射积分和将硬边孔径函数展开成有限项复高斯级数方法推导出了计算透镜衍射光强分布的解析表达式.所得的解析表达式克服了直接计算衍射积分的困难.应用这个表达式研究了截断参数(透镜的半径与高斯光束束腰半径的比值)对透镜衍射场分布的影响.数值结果显示,由于透镜的孔径对高斯光束的截断使得焦点向着透镜迁移,截断参数愈大,焦移量愈大,成像光斑愈大.

关 键 词:透镜  衍射  截断参数

Effect of the Truncation Parameter on the Diffraction Field Distribution of a Lens
YANG Shao-fu,BAI Jian-ping,ZHANG Yao-ju.Effect of the Truncation Parameter on the Diffraction Field Distribution of a Lens[J].Journal of Henan Normal University(Natural Science),2009,37(3).
Authors:YANG Shao-fu  BAI Jian-ping  ZHANG Yao-ju
Institution:1.Xuchang Vocational Technology College;Xuchang 461000;China;2.Nanyang Normal College;Nanyang 473000;3.College of Physics and Electronic Information;Wenzhou University;Wenzhou 325035;China
Abstract:Based on the Fresnel diffraction integral and the complex Gaussian expansion for the hard-edge aperture function,a simple and analytical expression for calculating the diffraction field distribution of an apertured lens is presented.This analytical expression can overcome the difficulty in computing the diffraction integral directly.It is found from the analytical expression that the truncation parameter,which is defined as the ratio between the waist of the Gaussian beam and the radius of the lens,has an i...
Keywords:len  diffraction  truncation parameter  
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