摘要
菲涅尔衍射可看作一个线性空间平移不变系统,因此可以在频谱域中,利用角谱算法来数值计算菲涅尔衍射积分.首先详细阐明了角谱算法的具体实施过程,澄清了理想采样条件、卷绕误差产生的原因和影响范围以及计算窗口尺寸的选取依据等相关问题.然后采用角谱算法数值计算了高斯光束照明余弦光栅的菲涅尔衍射场.数值解与解析解的对比表明,当满足理想采样条件并正确选取计算窗口尺寸时,角谱算法可以达到非常高的计算精度.最后数值仿真了单透镜相干成像实验,进一步展示了角谱算法的应用过程.
Fresnel diffraction can be regarded as a linear space-invariant system,so the Fresnel diffraction integral can be calculated numerically in the spectral domain using the angular spectrum.First,the implementation of the angular spectrum algorithm is explained in detail,including the ideal sampling conditions,the origins and influence range of the wraparound error,and the selection of the calculation window size.Then the Fresnel diffraction field of a Gaussian beam illuminated cosine grating is numerically calculated using the angular spectrum algorithm.A comparison between the numerical solution and the analytical solution shows that the angular spectrum algorithm can achieve very high accuracy when the ideal sampling conditions are met and the calculation window size is correctly selected.Finally,a single-lens coherent imaging is numerically simulated to further demonstrate the implementation of the angular spectrum algorithm.
作者
韩佳成
郭文雅
赵亚楠
杨丽君
王颖
张素恒
HAN Jiacheng;GUO Wenya;ZHAO Ya nan;YANG Lijun;WANG Ying;ZHANG Suheng(College of Physics Science and Technology,Hebei University,Baoding 071002,China)
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2023年第3期237-247,共11页
Journal of Hebei University(Natural Science Edition)
基金
河北大学高层次人才科研启动项目(521100221052)
河北省自然科学基金资助项目(A2022201039)
河北大学实验室开放项目(SY202039)。
关键词
菲涅尔衍射
角谱算法
理想采样条件
卷绕误差
Fresnel diffraction
angular spectrum algorithm
ideal sampling condition
wraparound error
