微型自适应光学系统的波前重构算法

基于测量所得的 37通道微型机械薄膜变形镜的影响函数矩阵和微型自适应光学系统 ,给出模式法波前重构与补偿的微型变形镜的控制电压 ,模拟计算和微型自适应光学系统的实验结果说明所得结果是正确可行的     

基于衍射光栅曲率波前传感器的实时波前重构研究

自适应光学系统要求波前传感器能实现动态实时测量,曲率波前传感技术符合这一发展要求。一种新型的基于扭曲衍射光栅的曲率波前传感器在探测装置的实现方法方面具有较大优势,其波前重构已应用于光学度量。根据衍射光学理论,对其探测信号进行数值模拟,并利用Neumann边界条件的Green函数法对其波前重构进行数值模拟。结果表明：Green函数法归结为2矩阵相乘,计算速度快,达到实时重构要求; Green函数法对阶数不高的Zernike多项式重构效果较好;影响重构误差的主要因素是光强梯度的边界噪声。     

一种区域波前重构的快速算法

本文提出了一种分块进行波前重构的快速算法。它具有所需存贮量小、噪声传递系数小及数值稳定性好等特点。定性分析与计算机模拟结果表明,由于算法本身带来新的重构误差,它的重构精度与通常算法基本相同。     

基于多对流速度的波前重构算法研究

 在气动光学研究中,Ronald J. Hugo 和Eric J. Jumper的小孔径光束技术(SABT)波前重构算法在理论推导中忽略了与涡结构尺度相关的对流速度的差异,因此必然会给波前重构带来误差。用小波分析提取了上、下游探测光束输出的不同尺度的光程信号,通过计算两个探测光束输出的同一尺度信号的互相关系数,并利用互相关系数达到最大值对应的延迟时间研究了尺度相关的对流速度,然后再进行尺度相关的小孔径光束波前重构。结果表明：相对于单一对流速度的小孔径光束波前重构算法,该尺度相关的波前重构算法能有效地提高波前重构的精度。     

基于多对流速度的波前重构算法研究

在气动光学研究中,Ronald J. Hugo 和Eric J. Jumper的小孔径光束技术(SABT)波前重构算法在理论推导中忽略了与涡结构尺度相关的对流速度的差异,因此必然会给波前重构带来误差。用小波分析提取了上、下游探测光束输出的不同尺度的光程信号,通过计算两个探测光束输出的同一尺度信号的互相关系数,并利用互相关系数达到最大值对应的延迟时间研究了尺度相关的对流速度,然后再进行尺度相关的小孔径光束波前重构。结果表明：相对于单一对流速度的小孔径光束波前重构算法,该尺度相关的波前重构算法能有效地提高波前重构的精度。     

由重构矩阵存储精度引起的波前重构误差的研究

 采用Southwell区域法波前重构模型对泽尼克多项式的前几项进行了波前重构的数值模拟, 研究了由重构矩阵存储精度原因而引起的波前重构误差。结果表明,对于前六项,以8Bit的数据精度来存储重构矩阵就能保证波前重构误差不超过1.0%,而对于具有更高阶的泽尼克多项式,比8Bit更高的数据精度不会使误差减小。对一个测量所得的波前进行了研究,所得结果和上述结论相符合。     

由重构矩阵存储精度引起的波前重构误差的研究

采用Southwell区域法波前重构模型对泽尼克多项式的前几项进行了波前重构的数值模拟, 研究了由重构矩阵存储精度原因而引起的波前重构误差。结果表明,对于前六项,以8Bit的数据精度来存储重构矩阵就能保证波前重构误差不超过1.0%,而对于具有更高阶的泽尼克多项式,比8Bit更高的数据精度不会使误差减小。对一个测量所得的波前进行了研究,所得结果和上述结论相符合。     

基于阈值式小波变换的波前重构算法

针对传统的波前重构器计算效率低、稳态误差大的问题,提出了阈值式波基多分辨力波前重构算法,采用4维波基作为标准正交基,将波前相位畸变投射到4维波基上,使伪逆矩阵变为稀疏矩阵,有效地减少了计算量,并采用阈值法去除波前重构矩阵算子中对精度影响较小的高分辨力波基系数,进一步增加了矩阵的稀疏程度,提高了运算效率,并与传统的最小二乘法、Zernike模式法和迭代法进行了计算量和均方根误差的比较,仿真结果表明该算法无论在计算速度和收敛精度上均优于其它算法。     

基于阈值式小波变换的波前重构算法

 针对传统的波前重构器计算效率低、稳态误差大的问题,提出了阈值式波基多分辨力波前重构算法,采用4维波基作为标准正交基,将波前相位畸变投射到4维波基上,使伪逆矩阵变为稀疏矩阵,有效地减少了计算量,并采用阈值法去除波前重构矩阵算子中对精度影响较小的高分辨力波基系数,进一步增加了矩阵的稀疏程度,提高了运算效率,并与传统的最小二乘法、Zernike模式法和迭代法进行了计算量和均方根误差的比较,仿真结果表明该算法无论在计算速度和收敛精度上均优于其它算法。     

用于Hartmann-Shack波前探测器的区域法算法研究

 Hartmann-Shack波前探测器是一种成熟的波前探测技术。在区域法波前重构迭代公式的基础上,超松弛迭代因子及迭代精度的合理取值;分析比较了Fried和Southwell两种模式, 认为Fried模式更适合于波前重构。     

哈特曼传感器对湍流畸变波前的泽尼克模式复原误差

分析了应用哈特曼传感器测量大气湍流畸变波前时,哈特曼传感器的泽尼克模式复原误差与子孔径划分形式、泽尼克模式复原阶数等的关系,给出了科尔莫哥洛夫湍流下计算哈特曼传感器模式复原误差的公式。对比分析了8×8子孔径划分和32×32子孔径划分的两个哈特曼传感器在实际大气湍流中同步测量的实验结果。     

波荡器位相误差对自由电子激光

对波荡器位相误差对自由电子激光小信号增益的影响进行了分析讨论。对低增益情况解析地给出了波荡器位相误差引起的增益降低因子。结果表明:与自发辐射类似增益的降低与位相误差的方差成简单的指数关系，位相误差的线性变化部分引起最大增益的位移，还表明波荡器位相误差存在时Madey定理仍然成立。对高增益情况也给出了波荡器位相误差引起的增益降低因子。     

相关哈特曼-夏克波前传感器波前重构新方法

对相关哈特曼-夏克波前传感器的波前重构方法进行了研究,提出了一种基于相邻子图像间相对平移量的波前重构新方法。与常用的基于单一参考子图像的波前重构方法相比,新方法的动态范围有了很大提高。在8×8去4角的子孔径划分下,测量离焦波面时,新方法的动态范围可提高约16倍,子孔径数目越多,动态范围提高的倍数也越高。精度分析表明,两种波前重构方法在8×8去4角的子孔径划分下精度相近,在子孔径数目更多时,相邻子图像处理法的波前重构精度低于单一参考子图像法。     

基于循环式径向剪切干涉法的波前重建算法研究

提出一种基于循环式径向剪切干涉的波前重建算法。先将畸变波前经径向剪切干涉仪形成的空间相位调制干涉条纹图通过傅立叶变换处理获得对应的位相差分布,再直接采用迭代算法能精确重建原始波前,为ICF系统中复杂畸变波前的在线准确检测提供了可能,并给出了应用实例。     

基于循环式径向剪切干涉法的波前重建算法研究

 提出一种基于循环式径向剪切干涉的波前重建算法。先将畸变波前经径向剪切干涉仪形成的空间相位调制干涉条纹图通过傅立叶变换处理获得对应的位相差分布，再直接采用迭代算法能精确重建原始波前，为ICF系统中复杂畸变波前的在线准确检测提供了可能，并给出了应用实例。     

Wavefront reconstruction algorithm for wavefront sensing based on binary aberration modes

We propose a new algorithm for wavefront sensing based on binary intensity modulation. The algorithm is based on the fact that a wavefront can be expended with a series of orthogonal and binary functions, the Walsh series. We use a spatial light modulator(SLM) to produce different binary-intensity-modulation patterns which are the simple linear transformation of the Walsh series. The optical fields under different binary-intensity-modulation patterns are detected with a photodiode.The relationships between the incident wavefront modulated with the patterns and their optical fields are built to determinate the coefficients of the Walsh series. More detailed and strict relationship equations are established with the algorithm by adding new modulation patterns according to the properties of the Walsh functions. An exact value can be acquired by solving the equations. Finally, with the help of phase unwrapping and smoothing, the wavefront can be reconstructed. The advantage of the algorithm is providing an analytical solution for the coefficients of the Walsh series to reconstruct the wavefront. The simulation experiments are presented and the effectiveness of the algorithm is demonstrated.     

Large-aperture collimated wavefront evaluation based on sparse subaperture北大核心CSCD

A wavefront evaluation method based on sparse subaperture was proposed for the collimated wavefront of 300 mm aperture wavelength-tuned interferometer. The method used the wavefront data of sparse aperture to construct a uniform and equally spaced subaperture arrangement model and utilized the simultaneous fitting algorithm to realize the reconstruction of the full-aperture collimated wavefront. The change rules of subaperture spacing and subaperture size on the reconstruction accuracy were analyzed by the numerical calculation, and the optimized subaperture arrangement way was obtained. Finally, an optimized subaperture arrangement with a subaperture size of 10.8 mm and an adjacent subaperture center spacing of 9.72 mm was used for the sparse subaperture evaluation of 300 mm aperture collimated wavefront. The simulation results show that the optimized sparse subaperture evaluation wavefront residual peak valley (PV) value is 0.001 6λ and the residual root mean square (RMS) value is 1.689 3e−4 λ. Copyright ©2022 Journal of Applied Optics. All rights reserved.     

Accurate optical wavefront reconstruction based on reciprocity of an optical path using low resolution spatial light modulators

A method for high precision optical wavefront reconstruction using low resolution spatial light modulators (SLMs) was proposed. It utilizes an adiabatic waveguide taper consisting of a plurality of single-mode waveguides to decompose an incident light field into simple fundamental modes of the single-mode waveguides. By digital generation of the conjugate fields of those simple fundamental modes a field proportional to the original incident light field might be reconstructed accurately based on reciprocity. Devices based on the method using transparent and reflective SLMs possess no aberration like that of a conventional optic lens and are able to achieve diffraction limited resolution. Specifically on the surface of the narrow end of a taper a resolution much higher than half of the wavelength is attainable. The device may work in linear mode and possesses unlimited theoretical 3D space-bandwidth product (SBP). The SBP of a real device is limited by the accuracy of SLMs. A pair of 8-bit SLMs with 1000 × 1000 = 10⁶ pixels could provide a SBP of about 5 × 10⁴. The SBP may expand by 16 times if 10-bit SLMs with the same number of pixels are employed or 16 successive frames are used to display one scene. The device might be used as high precision optical tweezers, or employed for continuous or discrete real-time 3D display, 3D measurement, machine vision, etc.