摘要
通过引入波面的二阶导数对传统的最小二乘法(LSM)进行了改进;利用改进后的LSM分别分析了单个方向和相互正交两个方向的横向剪切数据,并将改进后的LSM与网格点法和积分法复原波前的空间特性进行了比较;利用相互正交两个方向的横向剪切数据分别分析了环形孔径和复杂孔径横向剪切干涉仪(LSI)波前复原的频率响应和空间分布特性,并进行了仿真验证。证实了对于任意形状的光阑,利用改进的LSM可以从相互正交的两个方向的剪切干涉图中提取对应光阑部分的相位。
The traditional least squares method（LSM） is improved by introducing the second derivative of the detected wave-front.Both the shearing data along one direction and two orthogonal directions are analysed using the improved LSM.And the spatial distribution of the wave-front recovered by the proposed method is compared with that of recovered by the gridding method and the integration method.The frequency response and the aperture spatial distribution characters of the wavefront recovery of lateral shearing interferometer are also analysed respectively to the annualar aperture and the combined one using the two orthogonal latering shearing data.The simulation results show the wave-front confined by any aperture could be recovered from two orthogonal lateral shearing data using the proposed algorithm.
出处
《光学学报》
EI
CAS
CSCD
北大核心
2011年第4期7-12,共6页
Acta Optica Sinica
基金
国家863计划资助课题
关键词
测量
横向剪切干涉仪
最小二乘法
光阑
频率响应
空间分布特性
measurement
lateral shearing interferometer
least-squares method
aperture
frequency response
spatial response
