大口径光学元件波前调制PSD模拟分析

 使用PSD作为大口径光学元件表面加工质量的评价参数，针对不同的波前调制进行了初步的模拟计算，得到了不同调制频率和不同调制深度情况下的PSD曲线变化情况。当调制频率不同时，PSD曲线的突变部分会发生相应的频移，调制频率高则突变发生在空间频率较高的频段，同时PSD峰值不变。相对应调制深度不同时，PSD曲线的突变部份峰值发生变化，调制深度大则峰值大，与此同时峰值出现的位置不会发生变化。计算和分析结果表明PSD分析结果能够在频率域反应出元件表面受到的不同程度的调制信息。     

Characteristic polynomial theory of two-stage phase shifting algorithms

Two-stage phase shifting algorithms make possible to directly recover the sum or the difference of the optical phase of two different fringe patterns. These algorithms can be built by combining the known phase shifting algorithms in a non-linear way. In this work, we associate a two-dimensional characteristic polynomial to each two-stage phase shifting algorithm. This enables us to qualitatively compare their behaviour against the main systematic error sources, by means of an analysis protocol like that used for phase shifting algorithms. We show that this tool allows to understand the propagation of properties from precursor phase shifting algorithms to new evaluation algorithms built from them. As an experimental application, a wavefront distortion evaluation in differential phase-shifting interferometry is presented.     

平行平板横向剪切干涉仪装调误差的矫正方法研究

对平行平板双光路横向剪切干涉仪的装调进行了研究,提出了一种矫正两个平行平板之间角度误差的方法.输出激光的波前采用Zernike多项式拟合,经过理论推导,发现两个方向差分波前求解出的倾斜像散之差与平行平板的角度误差存在线性关系,利用两个方向倾斜像散之差来矫正两个平行平板之间的角度误差.在平行平板横向剪切干涉仪的装调过程中使两个方向差分波前的倾斜像散之差为零即可以使两个方向的平行平板之间的角度误差值为零.进一步地从实验上证明了这个线性关系,对于所用的实验系统,当离焦像差为-3.224 7±0.001 8,两个方向差分波前的倾斜像散之差波动范围为±2.0×10^-3时,平行平板的角度误差可以控制在8.82″之内,高阶像差对平行平板的角度误差调节精度的影响约为1.63″.该方法具有装调简单、精确度高,易于流程化操作的优点.     

Comparison of two-dimensional integration methods for shape reconstruction from gradient data

As a requisite and key step in some gradient-based measurement techniques, the reconstruction of the shape, more generally the scalar potential, from the measured gradient data has been studied for many years. In this work, three types of two-dimensional integration methods are compared under various conditions. The merits and drawbacks of each integration method are consequently revealed to provide suggestions in selection of a proper integration method for a particular application.     

适用于波前处理器的自适应光学系统非共光路像差补偿方法

提出了一种适合硬件形式波前处理器的非共光路像差校正方法.讨论了非共光路像差的产生原因和运用相位差异技术检测非共光路像差的方法.根据波前处理器的工作流程,推导了将非共光路像差折算到波前探测器参考点偏移量的算法,编写了实现算法的主控计算机软件模块.在望远镜光路中以光源为目标开展实验,用本文算法校正后,目标能量集中度提高了17.6%,证明了该方法的可行性.     

Recent advances in wavefront shaping techniques for biomedical applications

Due to the highly inhomogeneous distributions of refractive indexes, light propagation in complex media such as biological tissue experiences multiple light scattering events. The suppression and control of multiple light scattering events are investigated because they offer the possibility of optical focusing and imaging through biological tissues, and they may open new avenues for diagnosis and treatment of several human diseases. In order to provide insight into how new optical techniques can address the issues of multiple light scattering in biomedical applications, the recent progress in optical wavefront-shaping techniques is summarized.     

基于本征正交分解函数的波前动态高分辨率重构

 应用Hartmann波前传感器测量了准直平行光通过低速热射流后的畸变波前时间序列，对该时间序列进行本征正交分解得到系列本征函数和时间系数，对本征函数进行双线性插值处理得到未布置探测器处的本征函数值，新本征函数与时间系数相乘从而获得未布置探测器处的波前数据。在时域和频域比较了波前预测值与实际值，结果表明了该插值方法的有效性，从而实现对波前的高时间、高空间分辨率测量。     

一种基于OTF稳定性的波前编码相位板优化方法

提出了一种简单的可用于光学系统中子午弧矢方向白光OTF稳定性评价的波前编码相位板参量优化方法.该方法仅以标准偏差来评价OTF在目标景深范围内的稳定性,并且结合自适应模拟退火算法在参量空间内优化得到相位板的最佳参量.使用该方法优化得到的相位板参量,可以大幅度提高光学系统的景深,并且可以获得更为清晰、稳定的成像.对应用波前编码技术前后光学系统的成像性能作了比较,并且考察了优化参量的容差性.     

Direct amplitude detection of Zernike modes by computer-generated holographic wavefront sensor: Modeling and simulation

A fast holographic wavefront sensor is proposed using a computer-generated hologram (CGH). This CGH is a multiplexed hologram of different Zernike mode–amplitude combinations, and is designed in such a manner as to get the corresponding spots on the detector according to the presence and strength of a particular aberration. Interference between the aberrated wavefront (with a single mode–amplitude combination) and the Fourier transform of an image with single bright pixel (defined as dot image) is numerically calculated for one hologram. Different mode–amplitude combination and corresponding different positions of bright pixels (dots) are taken to compute various holograms and then all the holograms are multiplexed to get the final hologram. When the aberrated wavefront with a particular mode–amplitude combination is incident onto the multiplexed hologram, the corresponding dot is generated in the Fourier plane. A lens performs the Fourier transform in optical domain and provides the instant detection of amplitude of the respective Zernike mode. The main advantage of the scheme is to avoid the need of any computations, which makes it really fast. The simulation results are presented with the cross-talk analysis for few Zernike terms.     

Point-diffraction interferometer for atmospheric adaptive optics in strong scintillation

This paper evaluates the performance of a point-diffraction interferometer for closed-loop adaptive optics. A point-diffraction interferometer was built using a modified Mach-Zehnder set-up. The system was used in closed-loop using a SLM to implement a square, 12 × 12, piston-only segmented corrector with a stroke of ±π. Its performance was tested for the case of atmospheric turbulence aberrations. The investigation showed, through simulation and experiment, that the point-diffraction interferometer worked in closed-loop operation in both uniform intensity and scintillated aberrations. Its robustness in the presence of phase discontinuities makes it a promising option for wavefront sensing in strong scintillation.