用位相板实现景深延拓的原理与模拟实验研究

对波前编码技术实现景深延拓的原理进行了研究,分析了波前编码系统成像对离焦不敏感的原因,得到了波前编码光学系统景深延拓扩展率公式,发现了景深延拓扩展率与位相板参量的关系.利用Zemax设计了波前编码光学系统,用Matlab进行了成像模拟实验,实验结果表明,波前编码系统能提高传统光学系统的景深,提高的倍数由三次相位板的相位常量决定.     

波前编码成像系统景深延拓扩展率的研究

研究三次相位板的波前编码光学系统,发现在一定的条件下系统调制传递函数(MTF)对波前编码系统的离焦不敏感,才能得到波前编码系统的景深.对比传统光学系统的景深,得到波前编码系统的景深延拓扩展率的表达式.分析空间频率取值范围和三次相位板系数α,发现当a=20π时,波前编码系统可以将传统光学系统的景深扩大60倍以上.     

带有波前编码板的虹膜采集光学系统的设计

设计了一款采用波前编码技术的虹膜采集光学系统,以实现大景深、自然非约束状态下的成像.以传统的光学系统评价指标斯特利尔比和能量集中度作为波前编码系统的成像特征,利用ZEMAX软件对波前编码系统进行设计,权衡了离焦不敏感性和图像可恢复性.比较了带有立方相位编码板和带有修正项的立方相位编码板的虹膜采集系统以及传统系统的焦深延拓效果.发现采用立方相位编码板的虹膜采集光学系统的焦深延拓效果最佳,其焦深是传统系统的8倍.该系统增大了虹膜采集的距离,对于自然状态虹膜成像系统设计有一定的参考价值.     

波前编码系统景深延拓性能研究

波前编码景深延拓技术是在非相干光学系统的出瞳处加入三次位相板,对成像进行解码处理而获得清晰图像以扩大光学系统景深的技术.文章通过深入研究波前编码光学成像系统的调制传递函数(MTF),分析离焦量和位相板的调制系数对MTF的影响,并通过数值计算和曲线拟合得到位相板调制系数、系统带宽、景深延拓性能之间的关系.该研究成果为位相板的调制系数的选择和景深延拓光学系统的设计提供依据. 关键词： 波前编码 景深延拓 调制传递函数 三次位相板     

一种优化波前编码系统相位板参数的新方法

根据波前编码系统的设计理论,在兼顾图像恢复能力的基础上,提出利用不同离焦距离的点扩散函数与焦面处的点扩散函数之间的希尔伯特空间角作为成像特性一致性的评价函数,结合遗传算法,对扩大景深的波前编码成像系统的相位板参数进行优化。分别在空间域和频率域上分析应用波前编码技术前后光学系统的成像特性,并利用最小二乘数字滤波器对中间模糊图像进行复原。仿真实验结果表明:在三次相位板上应用此方法获得的最佳相位板参数使波前编码系统焦深扩展了10倍。     

波前编码系统成像特性的空间域分析

波前编码技术在大幅度地增加光学系统景深的同时,可以抑制各种离焦类型的像差。目前波前编码系统的成像特性分析大多是基于空间频率域的分析,在应用稳定相法导出三次型相位板波前编码系统的点扩展函数近似解析式的基础之上,描述了点扩展函数的边界、带宽与振荡等特性,分析了波前编码系统对离焦、像散、彗差等常见像差的敏感性,从空间域进一步分析了波前编码系统的成像特性。     

波前编码显微物镜景深扩展的研究

为了解决传统显微物镜景深与分辨率的矛盾,采用波前编码的方法,设计研究了波前编码的10倍显微物镜,结合传统光学设计软件,采用基于MTF一致性的相位板参数的优化方法,实现了在像面附近一定范围内系统的点扩散函数一致性;此外,还设计了扩展三次相位编码板的10倍显微物镜,比较了采用两种不同相位板系统的焦深扩展的效果,结果显示三次相位板的焦深扩展效果较好,可以将传统10倍显微物镜的焦深扩展15倍。成像模拟仿真结果显示滤波后的编码像在±15倍焦深范围内成像清晰,从而扩大了系统的景深。     

手机成像系统的波前相位编码板光学特性的优化

设计了基于波前相位编码板的轻薄手机镜头,原始成像系统的焦深大小是0.017 mm,使用立方相位编码板,采用基于斯特列尔比的相位板优化方法,保持了在不同离焦位置成像系统MTF的稳定性,最终成像系统设计焦深达到0.136 mm,焦深扩展了8倍,经过Zemax软件仿真,验证了景深延拓的效果。设计结果表明,使用相位编码板即可增大定焦距手机系统的景深,使得系统结构紧凑,又克服了视场效应。     

变焦光学系统的景/焦深延拓及其分析

变焦光学系统在连续变焦过程中,由于变焦曲线的计算和加工精度,导致实际像面离焦,成像质量下降。变焦系统的特点是长焦距对应窄视场,短焦距对应宽视场。将波前编码技术应用于变焦系统,在系统的光瞳面设置相位掩模,则扩展了原系统的焦深和景深,使调制传递函数对离焦不敏感,同时提高短焦距宽视场的边缘成像质量。文章对原系统和应用波前编码技术的新系统的成像特性进行了分析和对比,随后讨论了掩模板的相位因子对系统的景深、焦深延拓以及对像质的稳定作用。仿真显示:变焦波前编码光学系统对离焦不敏感,可以很好地扩大系统的焦深和景深、稳定边缘视场的像质,具有很高的实用价值。     

基于传统显微系统的波前编码显微系统设计研究

波前编码系统是一种新型的光学数字混合成像系统。利用光阑处放置优化设计的三次相位板对波前的调制作用,可以实现在像面附近相当范围内系统的点扩展函数一致;进一步通过数字图像去卷积算法可以得到相当景深范围内清晰的成像,从而实现景深延拓。根据传统显微系统的特点,提出了一种基于传统显微物镜系统的波前编码显微系统设计思路,设计并加工了一套10×,40×波前编码显微成像系统。基于传统显微系统的波前编码显微系统可以有效地延拓传统显微物镜系统的景深,提高系统的成像质量。     

Analytical and experimental demonstration of depth of field extension for incoherent imaging system with a standard sinusoidal phase mask

The wavefront coding technique is used to enlarge the depth of field（DOF）of incoherent imaging systems. The key to wavefront coding lies in the design of suitable phase masks.To date,numerous kinds of phase masks are proposed.However,further understanding is needed regarding phase mask with its phase function being in a standard sinusoidal form.Therefore,the characteristics of such a phase mask are studied in this letter.Deriving the defocused optical transfer function（OTF）analytically proves that the standard sinusoidal phase mask is effective in extending the DOF,and actual experiments confirm the numerical results.At the same time,with the Fisher information as a criterion,the standard sinusoidal phase mask shows a higher tolerance to focus errors（especially severe focus errors）than the classical cubic phase mask.     

可调谐相位板空域频域联合分析

波前编码系统采用在传统光学系统中加入相位板来扩大光学系统的景深而避免传统景深延拓技术的不利影响. 由于相位板的参数不可调, 整个系统的景深延拓扩展率也不能动态可调. 采用两相位板组合的方法可以有效克服这一点. 本文首先从光线差的角度提出了两三次相位板组合下的光线像差分布以及点扩散函数尺寸的具体关系表达式, 直观体现了系统的光线结构, 指出了光线结构和点扩散函数尺寸受两三次相位板的面型和相对位移量的影响. 其次采用稳相法从空间域给出了系统点扩散函数表达式, 依据点扩散函数的振荡性质给出了有效带宽表达式, 提出了点扩散函数在像面的位置会随两相位板面型参数以及相对于光瞳中心的位移量而发生平移. 最后利用菲涅耳积分给出两三次相位板任意面型参数和相对位移组合下的准确光学传递函数. 在得到的调制传递函数中直观体现出了面型参数和相对位移量对调制传递函数和相位传递函数以及有效带宽的影响, 并说明了此系统相位传递函数的非线性性质. 通过空间域与频率域相结合的方法分析验证了传统的两三次相位板组合具有景深可调和带宽可调的性质, 为设计可调谐波前编码系统提供了理论依据.     

Decomposition of the optical transfer function: wavefront coding imaging systems

We describe the mapping of the optical transfer function (OTF) of an incoherent imaging system into a geometrical representation. We show that for defocused traditional and wavefront-coded systems the OTF can be represented as a generalized Cornu spiral. This representation provides a physical insight into the way in which wavefront coding can increase the depth of field of an imaging system and permits analytical quantification of salient OTF parameters, such as the depth of focus, the location of nulls, and amplitude and phase modulation of the wavefront-coding OTF.     

Transverse superresolution and focal shift with rotational tunable phase mask

This paper reports the imaging characteristics of an optical system can be modified by our designed polarization pupil mask. The novel rotational symmetric polarization pupil mask design based on combination of half-wave and quarter-wave plates is introduced for realizing the focal shift and extending focal depth of an optical system and the procedure for designing is presented. Numerical results show when an appropriate rotational symmetric polarization pupil mask is used as an apodizer in the optical imaging system, it not only can effectively achieve the continuously focal shift in a small range and extend focal depth of the optimized system, but also can evidently increase the transverse resolution of the optimized system at the genuine focal plane.     

Optimized phase pupil masks for extended depth of field

By properly designing a phase pupil mask to modulate or encode the optical images and then digitally restoring them, one can greatly extend the depth of field and improve image quality. The original works done by Dowski and Cathey introduce the use of a cubic phase pupil mask to extend the depth of field. The theoretical and experimental researches all verified its effectiveness. In this paper, we suggest the use of an exponential phase pupil mask to extend the depth of field. This phase mask has two variable parameters for designing to control the shape of the mask so as to modulate the wave-front more flexible. We employ an optimization procedure based on the Fisher information metric to obtain the optimum values of the parameters for the exponential and the cubic masks, respectively. A series of performance comparisons between these two optimized phase masks in extending the depth of field are then done. The results show that the exponential phase mask provide slight advantage to the cubic one in several aspects.     

Focal depth extending using rotational symmetric pupil masks

Optical systems are analyzed with three kinds of rotational symmetric pupil masks: annular Gaussian ring mask, supergaussian ring mask, and quartic phase mask. In these masks, the quartic phase mask is found to be the best one to extend focal depth. Point spread function (PSF) and Strehl ratio (SR) are used to evaluate the imaging quality of the system with different defocus parameters. Without decoding needed, the focal depth of the system with quartic phase mask is four times as deep as aberration-free system. Different from the others, it suffers no obvious loss in the light throughput and lateral resolution.With twice focal depth extension, supergaussian ring mask suffers less loss in light throughput and lateral resolution than annular Gaussian ring mask.     

Zernike-basis expansion of the fractional and radial Hilbert phase masks

The linear Hilbert phase mask or transform has found applications in image processing and spectroscopy. An optical version of the fractional Hilbert mask is considered here, comprising an imaging system with a circular, unobscured pupil in which a variable phase delay is introduced into one half of the pupil, split bilaterally.The radial Hilbert phase mask is also used in image processing and to produce optical vortices which have applications in optical tweezers and the detection of exoplanets.We subjected the fractional and radial Hilbert phase masks to Zernike function expansion in order to compute the image plane electromagnetic field distribution using Nijboer-Zernike theory. The Zernike functions form an orthogonal basis on the unit circle. The complex-valued Zernike expansion coefficients for these two phase masks were derived for use in the context of the Extended Nijboer-Zernike (ENZ) theory of image formation. The ENZ approach is of interest in that it allows a greater range of defocus to be dealt with, provides a simple means of taking a finite source size into account and has been adapted to high Numerical Aperture (NA) imaging applications.Our image plane results for the fractional Hilbert mask were verified against a numerical model implemented in the commercial optical design and analysis code, Zemax^®. It was found that the Nijboer-Zernike result converged to the Zemax^® result from below as the number of Zernike terms in the expansion was increased.     

Pupil design based on Fisher information optimization to extend field depth in practical optical system

<正>Wavefront coding(WFC) is used to extend the field depth of an incoherent optical system by employing a phase mask on the pupil.We uses a Fisher information(FI) metric based optimization method to design a phase mask by taking the modulation transfer function(MTF) of the practical optical system into consideration. This method can modulate the wavefront so that the point spread function and optical transfer function are insensitive to the object distance.The simulation results show that the optimized phase mask based on the proposed method can further improve the defocusing image quality while maintaining the focusing image quality.     

衍射受限光学合成孔径成像系统像质评价

简述了光学合成孔径成像系统的原理,合成孔径成像系统在获得高截止频率的同时,降低了系统的中频性能,在空域表现为点扩展函数次峰增加。然后运用两点分辨率和光学传递函数对衍射受限光学合成孔径成像系统的像质评价问题进行了分析,指出了瑞利判据、斯派罗准则和“门限”判据的不足,认为当点扩展函数次峰大于主峰的0．5倍时,合成孔径系统与单孔径系统相比将失去优势。以光学传递函数为标准。分析三孔径合成系统子孔径尺寸、相互间距与等效系统孔径尺寸之间的关系。当子孔径直径不变时,随着其所在圆半径的增大,实际截止频率先增大,然后减小。