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加窗后波前功率谱密度的计算值修正
引用本文:柴立群,徐建程,许乔. 加窗后波前功率谱密度的计算值修正[J]. 强激光与粒子束, 2005, 17(12): 1835-1838
作者姓名:柴立群  徐建程  许乔
作者单位:成都精密光学工程研究中心,四川,成都,610041;成都精密光学工程研究中心,四川,成都,610041;成都精密光学工程研究中心,四川,成都,610041
基金项目:国家863计划项目资助课题
摘    要: 波前功率谱密度的数值计算会由于窗函数的使用引入较大的计算误差。通过对模拟的单一频率波前加窗前后的功率谱密度的理论计算,由傅里叶变换性质推导出了修正因子,并对波前频率与修正因子的关系进行了理论研究。结果表明,在一定的波前频率及误差范围内,对加汉宁窗后1维功率谱密度的计算结果乘上一个常量8/3即可实现简单有效地修正。

关 键 词:功率谱密度  傅里叶变换  汉宁窗  惯性约束聚变
文章编号:1001-4322(2005)12-1835-04
收稿时间:2005-01-13
修稿时间:2005-09-23

Modification of power spectrum density of wavefront after applying window
CHAI Li-qun,XU Jian-cheng,XU Qian. Modification of power spectrum density of wavefront after applying window[J]. High Power Laser and Particle Beams, 2005, 17(12): 1835-1838
Authors:CHAI Li-qun  XU Jian-cheng  XU Qian
Affiliation:Chengdu Fine Optical Engineering Research Center, P.O.Box 450, Chengdu 610041, China
Abstract:Big error would be introduced in numerical computation of power spectrum density(PSD) because of the use of the weighted window function.Using simulated single-frequency wavefront,PSD values before and after applying Hanning window were computed and a modification factor was deduced using theory of Fourier transform.Relationship between wavefront frequency and modification factor was analyzed by theoretical computation.It shows that under certain measurement errors and certain frequency scope,a constant,8/3 or 64/9 is effective to modify one-dimensional or two-dimensional PSD value after applying Hanning window.
Keywords:Power spectrum density(PSD)  Fourier transform  Hanning window  Inertion confinement fusion
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