中国激光, 2011, 38 (s1): s114002, 网络出版: 2012-01-06
滤波函数对瞳面相位差波前传感器相位恢复效果的影响
Effects of Kind and Size of Filter Function on Phase Retrieval for the Wavefront Sensor Based on Pupil Phase Diversity
传感器 波前传感器 瞳面相位差法 滤波函数 相位恢复方法 Zernike模式 sensors wavefront sensor pupil phase diversity filter function phase restoration algorithm Zernike mode
摘要
选择合适的滤波函数是瞳面相位差波前传感器成功实现的关键。以建立的瞳面相位差波前传感器模型为基础,采用模式法进行波前相位的恢复,考察不同类型、不同大小滤波函数对波前恢复效果的影响。结果表明,滤波函数种类的选择对传感器相位恢复效果的影响不大,在合适的大小范围内,都可以得到令人满意的恢复精度,如离焦作为滤波函数时,其峰谷(PV)值在(2π±π)rad范围内;球差作为滤波函数时,PV值在小于等于π rad范围内。同一种滤波函数,当其大小超过一定范围时,如离焦大于3π rad、球差大于π rad时,随着其大小的增加,相位恢复精度逐步降低。具体应用时,可根据实现的成本和制作难易程度在滤波函数大小合适的范围内确定滤波函数的种类。
Abstract
An appropriate filter function is the key to successful wavefront retrieval for the wavefront sensor based on pupil phase diversity. The effects of kind and size of filter function on phase retrieval are investigated through several kinds of filter functions and different sizes of filter functions based on the mode of wavefront sensor and Zernike decomposition. Simulation results show that the kind of filter function has almost no effect on retrieval effect as long as the size of filter function is within an appropriate range, such as peak vale (PV) is between π rad and 3π rad for the defocus and PV is less than or equal to π rad for the sphere. The restoring accuracy is gradually decreasing as increasing of filter function size, such as PV is bigger than 3π rad for the defocus and π rad for the sphere. In real application, the kind of filter function can be chosen based on the cost and complex of making filter function while the size of filter function is within an appropriate range.
杨慧珍, 龚成龙, 李要球. 滤波函数对瞳面相位差波前传感器相位恢复效果的影响[J]. 中国激光, 2011, 38(s1): s114002. Yang Huizhen, Gong Chenglong, Li Yaoqiu. Effects of Kind and Size of Filter Function on Phase Retrieval for the Wavefront Sensor Based on Pupil Phase Diversity[J]. Chinese Journal of Lasers, 2011, 38(s1): s114002.