Effects of mask-alignment error on point spread function for multi-level Fresnel diffractive lenses

The full aperture complex amplitude transmittance function of a multi-level diffraction lens with maskalignment errors was derived based on scalar diffraction theory. The point spread function(PSF) was calculated by the Kirchhoff diffraction integral. It is found that the radius of the Airy disk increases with the increase of the error in the direction of misalignment, and the image center shifts along the direction of misalignment. A fourlevel diffractive lens with a diameter of 80 mm was fabricated, and its PSF and diffraction efficiency of +1 st order were calculated and measured. The distribution of PSF is consistent with the calculated results, and the tested diffraction efficiency is slightly smaller than the calculated value; the relative error is 5.71%.     

Adaptive slit beam shaping for direct laser written waveguides

We demonstrate an improved method for fabricating optical waveguides in bulk materials by means of femtosecond laser writing. We use an LC spatial light modulator (SLM) to shape the beam focus by generating adaptive slit illumination in the pupil of the objective lens. A diffraction grating is applied in a strip across the SLM to simulate a slit, with the first diffracted order mapped onto the pupil plane of the objective lens while the zeroth order is blocked. This technique enables real-time control of the beam-shaping parameters during writing, facilitating the fabrication of more complicated structures than is possible using nonadaptive methods. Waveguides are demonstrated in fused silica with a coupling loss to single-mode fibers in the range of 0.2 to 0.5 dB and propagation loss <0.4 dB/cm.     

Super-resolution by pupil plane phase filtering

Resolution capability of any optical imaging system is limited by residual aberrations as well as diffraction effects. Overcoming this fundamental limit is called super-resolution. Several new paradigms for super-resolution in optical systems use ‘a posteriori’ digital image processing. In these ventures the three-dimensional point spread function (PSF) of the lens plays a key role in image acquisition. A straightforward tailoring of the PSF can be performed by appropriate pupil plane filtering. With a brief review of the state-of-art in this research area, this paper dwells upon the inverse problem of global optimization of the pupil function by phase filtering in accordance with the desired PSF.     

一种实现冷原子(或冷分子)囚禁的可控制纵向光学双阱

提出了一种新颖的实现冷原子(或冷分子)囚禁的可控制纵向光学双阱方案，它由一个二元π相位板及一会聚透镜所组成，其π相位板由两个面积相等的具有0和π相位的同心圆环组成. 当一平面光波通过此光学系统时将在光轴上透镜焦点两侧形成一个光学双阱，如果调节入射到二元π相位板上光束横截面的半径大小，即可实现从光学双阱到单阱的连续演变，或由单阱到双阱的连续变化. 介绍了本方案产生可控制光学双阱的基本原理，给出了形成光学双阱的最佳几何参数，研究了双阱、单阱及其演化过程的光阱参数、光强分布等与光学系统参数间的关系. 该方案不仅可用于双样品原子(分子)的光学囚禁及其全光型玻色-爱因斯坦凝聚(BEC)的实现，而且可用于研究超冷原子(或分子)物质波的干涉，或构成双层2D光阱列阵，甚至用于制备新颖的双层2D光学晶格. 关键词： 二元π相位板 可控制光学双阱 双样品囚禁 光学晶格     

Hybrid pupil filter design using Bessel series

We propose a simple method of designing pupil filters for transverse super-resolution. For this end we represent the amplitude Point Spread Function (PSF) as a series expansion, constructed from the Fourier transform of a basis of Bessel functions. With this representation we optimize the intensity PSF according to certain desired characteristics, such as a smaller disk diameter than the corresponding, clear aperture, Airy disk. It is proved that by using few basis functions, it is possible to design pupils with similar or better PSF characteristics than previously reported.     

基于螺旋相位调制的非相干全息点扩散函数研究

分析了菲涅耳非相干相关全息(Fresnel incoherent correlation holography,FINCH)系统中纯相位空间光调制器(spatial light modulator,SLM)加载螺旋相位掩模时的点扩散函数.以氙灯为照明光源搭建了FINCH系统,电荷耦合器记录的点源全息图与点扩散函数模拟结果一致.采用该系统分别在SLM上加载双透镜掩模和螺旋相位调制双透镜掩模两种情况下对分辨率板和非染色洋葱细胞成像,给出了成像对比结果.结果表明:采用螺旋相位调制的FINCH系统可以在几乎不牺牲分辨率的情况下提高图像的边缘对比度;同样,对相位物体也可以实现图像的边缘提取和识别.该方法在实时监测活细胞的分裂、形变等方面具有重要应用前景.     

超分辨近场结构光盘读出信号的计算模型

给出了超分辨近场结构光盘(Super RENS)读出信号的计算模型。以时域有限差分法为基础,结合高斯光束矢量模型和衍射方法,通过计算得到了物镜出瞳上的读出信号。计算结果表明,Super RENS具有超衍射极限的空间分辨能力,并且其读出信号的特征完全不同于传统光盘。     

实现冷原子或冷分子囚禁的可控制光学四阱

提出了一种利用单光束照明二元π相位板与透镜组合系统实现冷原子或冷分子囚禁的可控制光学四阱新方案.计算了四阱的光强分布，讨论了从光学四阱到双阱或到单阱的演化过程，并导出了四阱和双阱几何参数、光强分布、强度梯度及其曲率与光学透镜系统参数间的解析关系.研究表明，通过相对移动二元π相位板可实现光学四阱到双阱或到单阱的连续双向演化，获得了四阱或双阱间距与相位板移动距离的关系.该方案在超冷原子物理、冷分子物理、原子光学、分子光学和量子光学，甚至量子计算及信息处理等领域中有着广阔的应用前景. 关键词： 二元π相位板 可控制光学四阱 原子分子囚禁 原子光学     

一种新颖的实现冷原子囚禁的可控制光学六阱及其光学晶格

提出了一种利用单束平面光波照明二元π相位板与透镜组合系统实现冷原子或冷分子囚禁的可控制光学六阱的方案,计算与分析了该方案产生的光学势阱的光强分布和光学六阱的特征参数、强度梯度及其曲率,讨论了从光学六阱到双阱或到单阱的演化过程,研究表明通过改变二元π相位板上的相位分布,即可实现光学六阱到双阱或到单阱的连续双向演化.     

基于空间光调制器的计算全息成像特性

把基于高分辨空间光调制器(SLM)的动态计算全息波面变换系统看作一个相干光学成像系统,分析并推导了该系统的点扩展函数（PSF）,进而研究了SLM像素结构所引起的固有切趾和展宽效应. 通过计算机模拟考察了SLM填充因子和衍射距离对系统分辨率的影响,给出了满足抽样定理所要求的系统的最小衍射距离. 最后提出了一种消除SLM像素结构影响的物波频谱预处理方法. 这一研究为优化系统设计,完善波面变换系统提供了新的途径.     

Golay6结构复杂光瞳成像研究

Golay6为非冗余的复杂光瞳结构,导出Golay6结构复杂光瞳的光瞳函数解析式和点扩散函数的解析式,在此基上用Matlab软件模拟了调制传递函数图像,并对目标图像进行模拟成像。针对所成像对比度下降问题,在不含噪声和含噪声情况下分别进行了讨论,利用分数阶微分算子对模拟所得图像进行图像增强,结果表明经分数阶微分算子空域增...     

Reconstruction of the Point-Spread Function of the Human Eye Using a New Phase-Retrieval Algorithm

The double-pass method is thought to obtain the point spread function (PSF) in human eyes based on two techniques: the symmetric double-pass method using the same pupil size and the asymmetric double-pass method using a different pupil size. The symmetric double-pass method provides autocorrelation of the retinal PSF and, thus, the modulation transfer function. The asymmetric double-pass method provides low-frequency partial-phase information and the partial phase-retrieval algorithm is applied to obtain the complete-phase information, and to estimate the PSF. The partial phase-retrieval algorithm is based on the iteration method proposed by Fineup and Kowalczyk and requires a lengthy computation. In this study, we propose a new high-speed phase-retrieval algorithm based on the property that the real and imaginary parts of optical transfer functions (OTFs) continuously change in value.     

High resolution optical image restoration for ground-based large telescope using phase diversity speckle

Phase diversity speckle (PDS) is an image restoration technique which is based on the idea of phase diversity (PD). It uses multi-frame short-exposure image sequence to calculate their corresponding wave-front information. Each image pair consists of two images collected by two cameras at the same time with one in focus and the other with known defocus value. Multi-frame processing can significantly improve the target signal to noise ratio, and decrease noise influence. In this paper, based on the principle of pupil Fourier imaging, by adjusting the pupil size, we get different scales of the optical point spread function (PSF). Also, we analysis different camera noise distribution channels, location differences and other factors to optimize the objective evaluation function, and this can reduce the computational complexity and improve the processing speed of image restoration. In the indoor environment, we build optical platform, and use multi-frame phase diversity speckle to make experiment under different turbulence conditions. The experimental results show that the image restoration effect of the proposed method is close to the diffraction limit.     

用两区π-相位滤波器改善超半球形固体浸没透镜显微系统的成像特性

利用矢量衍射理论分析了π-相位滤波器在超半球形固体浸没透镜显微系统中的超分辨特性.结果显示,光斑的增益、Strehl率和边瓣强度随相位区域边界呈现出同步的、只一个周期的振荡性变化.从辐射场和速逝场的角度解释了这种变化的原因.对于近场显微,速逝场起决定性作用.π-相位滤波器的相位区域边界角大于临界角时,才能产生较大的超分辨作用.滤波器边界参量等于0.743（对应的角度大于临界角）的π-相位滤波器,可以使系统分辨率提高16%.     

Comparative assessment of optical performance for the optical design of HD-DVD micro objective lens with NA 0.65 using aspheric and freeform surfaces

A micro objective lens for HD-DVD with the Numerical Aperture (NA) of 0.65 at blue laser wavelength with clear aperture diameter of 1.5 mm has been designed on acrylic material using freeform surfacing method. Optical performance evaluation parameters have been compared with bi-aspheric surfaces based objective lens design. Freeform surface based design has higher degrees of freedom compare to conventional aspheric surfaces that can reduce aberrations significantly. Maximum RMS error is 0.003λ at 0.4° and maximum RMS radius is 0.027 μm while airy disk radius is 0.3803 μm for freeform surface based design. Hence single freeform surface based design can reduce the fabrication complexity and tooling time, at the same instance provides comparable performance with bi-aspheric surfaces based design.     

Phase-Space Analysis of Wavefront Coding Imaging Systems

We explore the use of the Radon-Wigner transform, which is associated with the fractional Fourier transform of the pupil function, for determining the point spread function （PSF） of an incoherent defocused optical system. Then we introduce these phase-space tools to analyse the wavefront coding imaging system. It is shown that the shape of the PSF for such a system is highly invariant to the defocus-related aberrations except for a lateral shift. The optical transfer function of this system is also investigated briefly from a new understanding of ambiguity function.     

High depth of focus by combining annular lenses

In some technological applications, optical systems that produce a high depth of focus and superresolving transversal responses are required. In this paper we present a pupil design consisting in a phase pupil with binary amplitude, that added to a conventional optical system, can accomplish these goals. The pupil function is characterized by a complex amplitude that consists basically in combining two annular lenses with different focal length. Meanwhile the central portion of the pupil has an amplitude equal to 0, the external portion is modulated with two quadratic phases each one covering an annular zone. One of the phases corresponds to a convergent lens and the other to a divergent lens. The effect on the incident wavefront is to redirect the light in front of and behind the best image plane (BIP) producing a widened focus. The evolution of the transverse gain for the extended focus is also studied. Experimental results are given, and they confirm the extended focus and the superresolving behavior of the proposed pupil function.     

倾斜入射的波前编码系统的点扩散函数扩大效应分析

通过对坐标系统进行旋转，计算得到了三次型波前编码系统的倾斜入射的光瞳函数，并给出了近似表达式. 分析表明倾斜入射会产生三次相位扩大效应和离焦扩大效应，它们和入射角的正负无关，且随着入射角绝对值的增大而增大. 这表现在点扩散函数(point spread function, PSF)上会扩展PSF包络的两条直角边，表现在调制传递函数(modulation transfer function, MTF)上会降低MTF值. 子午面倾斜入射时，子午方向的三次相位扩大效应和离焦放大效应大于弧矢方向，从而导致子午方向     

倾斜入射的波前编码系统的点扩散函数扩大效应分析

通过对坐标系统进行旋转,计算得到了三次型波前编码系统的倾斜入射的光瞳函数,并给出了近似表达式. 分析表明倾斜入射会产生三次相位扩大效应和离焦扩大效应,它们和入射角的正负无关,且随着入射角绝对值的增大而增大. 这表现在点扩散函数(point spread function, PSF)上会扩展PSF包络的两条直角边,表现在调制传递函数(modulation transfer function, MTF)上会降低MTF值. 子午面倾斜入射时,子午方向的三次相位扩大效应和离焦放大效应大于弧矢方向,从而导致子午方向 关键词： 倾斜入射 波前编码 三次相位扩大效应 离焦扩大效应     

利用维纳滤波改善声透镜光声成像系统的分辨率

为了克服衍射效应对光声成像系统分辨率的限制,需要采用逆卷积方法进行图像反演.从理论上分析了声透镜成像原理,模拟仿真了声透镜的点扩展函数对声透镜成像系统分辨率的影响和维纳滤波解卷积方法复原光声成像的过程,并利用自搭建的声透镜光声成像系统进行了深入的实验研究,得到了物平面上相距4 mm和3 mm的两个黑胶带点的直接成像光声...