Polarization phase in aberration compensation

A phase/amplitude mask on the aperture of an imaging system results in a pupil function that is multiplicative with the lens function, resulting in a morphological transformation of the imaging wavefront. It was shown that such amplitude and phase functions can be implemented using polarization masks, with the advantage that the phase and amplitude can be controlled in real time and in some cases, independently of each other. The phase and amplitude variation over the mask can be controlled either by changing the polarization of the mask or by changing the input beam parameters. Wavefront tailoring using polarization-masked apertures is therefore feasible and may be utilized for focal shift and partial aberration compensation. For complete compensation of aberration, the phase distribution over the mask should be conjugate to that of the phase error of the aberrant wavefront, which necessitates the use of a continuously variable polarization mask. Since such a mask is difficult to implement, we have considered polarizing masks consisting of discrete polarized zones on the lens aperture, leading to polarization phase steps on the exit pupil of the imaging system. The simulation results presented in this paper show that effects of focal shift, partial compensation of primary spherical aberration and astigmatism can indeed be achieved by the proper use of polarization masked apertures.     

Curvilinear Fresnel-Zone Plate Lens Antenna: Vector Radiation Theory

A generalized vector diffraction theory of the half-open curvilinear Fresnel zone plate (FZP) tens antenna that is valid for any lens profile shape is presented. It is an extension to the vector Kirchhoff diffraction theory for the plane half-open FZP lens antenna and is based on the conical-segment lens profile approximation. An equation for the electric far-field vector is derived from which follow the expressions for the co- and cross-polarization radiation patterns and directive gain. The proposed theory is utilized for a numerical analysis and comparison of 140-GHz curvilinear half-open FZP lens antennas grouped in two distinct sets:

菲涅耳波带板应用于聚变靶的高分辨X射线成像分析

在惯性约束核聚变研究中,为了实现1μm高空间分辨keV-X射线成像,文中发展了菲涅耳波带板(FZP)直接成像的分析方法,并通过数值计算研究了FZP的成像特性.针对钛K_α线(光子能量4.51 keV,波长0.275 nm),提出了FZP参数,对制作技术的要求较低.研究了靶尺度的影响.FZP的有效视场使它能够对数毫米大尺度靶实现高分辨成像.还研究了入射光的光谱带宽对成像的影响.FZP的色差有助于单色成像,但是带宽超过限度会导致像的反衬度降低.这些结果表明FZP应用于聚变点火靶的高空间分辨X射线成像的能力,也为应用提出了要求. 关键词： X射线成像 惯性约束核聚变 菲涅耳波带板     

用菲涅尔平板天线实现相干来波方向的估计

菲涅尔平板天线由于其具有宽频带、重量轻、馈电简单和易于共形等优点，可替代透镜天线用于毫米波成像或用作微波移信通信中的接收天线单元等。同时，其作为聚焦器件，通过与馈源阵列组合，可以构成一种新型的自适应天线应用于蜂窝移动通信的基站智能天线等领域，基于其良好的工程应用前景，本文在对有关研究工作简要回顾的基础上，深入分析其去相关机理，应用极大似然估计算法实现了相干信号源在大角度入射的情形下，菲涅尔平板天线对来波方向的有效估计，避免了应用MUSIC算法进行来波方向估计所遇到的观察区域的限制问题，仿真计算和有关文献数值分析结果的比较表明，菲涅尔平板天线具有良好的空间谱估计性能。     

Wavefront sensing with random amplitude mask and phase retrieval

A light beam with an ideal wavefront that is transmitted or reflected from an object is modified by different characteristics of the object such as shape, refractive index, density, or temperature. Wavefront sensing therefore yields valuable information about the system or the changes happening to the system. A new method for wavefront sensing using a random amplitude mask and a phase retrieval method based on the Rayleigh-Sommerfeld wave propagation equation is described. The proposed method has many potential applications ranging from phase contrast imaging and measurement of lens aberration to shape measurement of three-dimensional objects.     

Comparison of subwavelength focusing properties of diffraction and Fresnel zone plate plasmonic planar lenses

The subwavelength focusing properties of diffractive plasmonic planar lenses (DPLs) and Fresnel zone plate plasmonic planar lenses (FZPs) have been compared in this paper. To that end, we use the same lens material, incident wavelength, thickness and focal length for comparison. Both DPLs and FZPs consist of central circular slits surrounded by transparent and opaque zones and can get clear focusing performances. By using the rigorous electromagnetic numerical method, the fields in the focal region are analyzed in detail, and our results demonstrate that FZP can generate higher transmission efficiency, and higher peak field intensity at the focal plane. Focusing polarization properties of the lens illuminated by linearly polarized state, are calculated and analyzed also. The numerical results show that both the DPL and the FZP produce asymmetrical focal spot distributions with a low f-number. To the FZP, the full-width at half-maximum (FWHM) varies from 256 nm (along y-axis) to 516 nm(along x-axis) and to the DPL, the FWHM varies from 256 nm(along y-axis) to 580 nm(along x-axis), respectively. But for a high f-number, the asymmetrical performance of the focal spot will be reduced due to complicated electromagnetical field interferences and micro waveguide effect. Otherwise, the DPL can get a higher depolarization effect than the FZP does.     

Ultrabroadband superoscillatory lens composed by plasmonic metasurfaces for subdiffraction light focusing

Conventional optics is diffraction limited due to the cutoff of spatial frequency components, and evanescent waves allow subdiffraction optics at the cost of complex near‐field manipulation. Recently, optical superoscillatory phenomena were employed to realize superresolution lenses in the far field, but suffering from very narrow working wavelength band due to the fragility of the superoscillatory light field. Here, an ultrabroadband superoscillatory lens (UBSOL) is proposed and realized by utilizing the metasurface‐assisted law of refraction and reflection in arrayed nanorectangular apertures with variant orientations. The ultrabroadband feature mainly arises from the nearly dispersionless phase profile of transmitted light through the UBSOL for opposite circulation polarization with respect to the incident light. It is demonstrated in experiments that subdiffraction light focusing behavior holds well with nearly unchanged focal patterns for wavelengths spanning across visible and near‐infrared light. This method is believed to find promising applications in superresolution microscopes or telescopes, high‐density optical data storage, etc.

     

光源尺寸和光谱带宽对波带板成像的影响

X射线菲涅耳波带板成像能实现亚微米空间分辨能力,有可能应用于激光等离子体或聚变靶的高分辨X射线成像诊断.之前的数值模拟研究表明,成像分辨能力受光源尺寸、入射光或成像光谱带宽的影响.本文报道在632.8 nm为中心波长的可见光波段,对波带板成像的数值模拟和原理性验证实验.数值模拟表明:随着扩展光源尺寸增加,视场中央分辨能力基本不变,而像对比度下降;随着成像的光谱带宽的增加,视场中央分辨能力与像对比度同时下降.实验证实了数值模拟的结论,且实验与数值模拟结果的定量比较也符合得较好.     

Optimum Design of Millimeter-Wave Double-Dielectric Fresnel Zone-Plate Lens and Antenna

The microwave/millimeter-wave Fresnel-zone plate (FZP) lenses differ substantially in construction, technology and applications from their optical analogs and require specific design equations and methods of electromagnetic analysis. In this paper, optimum design equations for double-dielectric lossless FZP lens are derived. The best and worst choices of the permittivity ratio for lossless dielectrics are discussed in detail. In addition, the influence of dielectric losses on the lens thickness for given wavelength and permittivities is examined.Two versions of a 57.5-GHz double-dielectric phase-reversal zone plate are used as focusing elements of FZP lens antenna. The antenna co-polar and cross-polar radiation patterns, aperture efficiency and frequency bandwidth are analyzed numerically and contrasted with those of half-blocked FZP and horn lens antennas.     

X射线菲涅耳波带板成像和投影式相衬成像的数值模拟比较

通过解析分析和数值模拟,比较了钛K线（4.5 keV）与铜K线（8.0 keV）等X射线源背光透视物体情况下,菲涅耳波带板直接成像与投影式相衬成像对被透视物体的空间分辨能力。结果表明,波带板成像可实现优于1 m的高空间分辨能力,而且使用较大尺度背光源更有利于成像。对于高透射或弱吸收的透视物体,波带板难以成像,可采用投影式相衬成像实现m级空间分辨。计入了以前文献没有考虑到的更高阶影响后,解析给出了点光源照射下相衬像的强度分布与对比度。模拟了微焦点X射线源照射存在厚度起伏的薄膜靶以及密度空间调制靶的相衬成像,点光源情况下模拟结果和解析结果相符。讨论了光源大小、成像距离等参数对相衬成像对比度和空间分辨能力的影响,结果表明,通过减小光源尺度和调节物体到探测面的距离,空间分辨能力可优化到1～4 m。     

Spectral-domain optical coherence tomography with a Fresnel spectrometer

We propose a novel spectral-domain optical coherence tomography (SD-OCT) equipped with a Fresnel spectrometer, which utilizes a Fresnel zone plate (FZP) as both dispersion and focusing optics and thus spreads the spectral interferogram evenly in wavenumber domain because of the proportional relation between the focal length of the FZP and the wavenumber. With no need of the conversion calculation from wavelength to wavenumber in conventional SD-OCT, this new design is favorable for fast imaging with high resolution. As only a FZP and CCD are used, the Fresnel spectrometer is simple and compact. It is experimentally shown that its performance is as good as that of numerical interpolation in conventional SD-OCT. Imaging of bio-tissue by Fresnel SD-OCT is also demonstrated.     

Depth of focus enhancement of a modified imaging quasi-fractal zone plate

We propose a new parameter w for optimization of foci distribution of conventional fractal zone plates (FZPs) with a greater depth of focus (DOF) in imaging. Numerical simulations of DOF distribution on axis directions indicate that the values of DOF can be extended by a factor of 1.5 or more by a modified quasi-FZP. In experiments, we employ a simple object–lens–image-plane arrangement to pick up images at various positions within the DOF of a conventional FZP and a quasi-FZP, respectively. Experimental results show that the parameter w improves foci distribution of FZPs in good agreement with theoretical predictions.     

Production par evaporation sous vide de reseaux zones et lentilles

A simple evaporation technique for the production of unalterable Phase FZP and FZP arrays is described. The method is also usable for Fresnel lens making. Experimental results are given, and the characteristics are compared with those obtainable by zinc sulphide lens direct evaporation.     

菲涅耳编码孔成象研究

编码孔成象(CAI)是一种高分辨率、高信噪比、高集光效率和大视场的成象技术。可适用的技术领域有:脉冲射线成象、实时图象跟踪、层析摄影术(tomography)等高技术领域本文探讨了CAI技术的一般理论,重点讨论了菲涅耳波带片的编码成象及解码复原的原理、方法、实验及处理结果并指出了实验难点及结果误差。     

Resolution enhancement techniques for optical lithography and optical imaging theory

Production of a fine pattern is necessary to get a high integration degree of integrated circuits. The conventional methods which utilize high numerical aperture and short wavelength exposure are limited by designing and manufacturing of a practical lens and make the focus depth narrow. Resolution enhancement techniques (RETs) have, therefore, been required and proposed. This paper introduces a phase-shifting mask, a typical RET, points out the problems and inconsistencies of conventional optical imaging theory and explains the image formation concept of expansion of plane waves. Essentially using this concept, an attempt is also made to describe some other typical RETs with potential.     

菲涅耳波带板无运动卷积全息术

提出了菲涅耳波带板(FZP)无运动卷积全息术.该技术使用均匀扩展光源，使得从光源不同位置发出的光在经过FZP编码孔径之后，在物体上形成多个菲涅耳波带板投影叠加.物体的全息图是FZP投影光强分布函数与物体的光强分布函数的卷积，无需机械运动便得到物体的扫描全息图.采用数字相关解码方法实现全息图的再现.用蒙特卡罗方法模拟了菲涅耳波带板入射光束在经过散射介质以后，其出射光强分布随散射介质厚度的变化规律.结果表明:当散射介质厚度为5 cm时，出射光束依然基本保持菲涅耳波带板形式的光强分布.对嵌埋在浓度为1%的Intralipid散射溶液中直径为0.4mm的金属丝进行成像实验，分别得到当散射介质厚度为1cm、3cm和5cm时的再现像，实验验证了菲涅耳波带板无运动卷积全息术用于高散射介质中物体成像的可行性.     

Enhancement of pupil-masked wavelength-scale gas-filled flat acoustic lens based on anomaly apodization effect

In this letter, the improvement in focus by the use of a pupil mask produced in an acoustic mesoscale cuboid particle filled with CO₂ is reported. Thereby, the result shows that the pupil mask increases the sound intensity and also increases the resolution (or a reduction of the full width at half maximum, FWHM) in focus compared to the non-masked one. These results are important because they confirm the effect of abnormal amplitude apodization for a one-wavelength dimension acoustic lens and demonstrate that it is possible to improve sound focusing of a cuboid gas-filled lens with one wavelength dimension. This is the smallest size of an acoustic lens ever considered in this type of literature, with side dimensions of the cube equal to one wavelength and a diameter to focus ratio of 2.5, the sound amplification in focus is 5.4 dB at 4125 Hz, with the resolution near to the diffraction limit.     

A super-resolution Fresnel zone plate and photon sieve

Realizing a smaller or sharper diffractive center spot is a valuable research aim in soft X-ray focus and other related research applications. Fresnel zone plates (FZP) and photon sieves (PS) are often used to focus the X-rays or other wavelength light at present. Here, we show that combination of a super-resolution phase mask (SPM) and an FZP (or PS) as one diffractive optical element can realize a smaller or sharper diffractive center spot without significantly increasing the fabrication difficulty. All these diffractive phase elements can be applied to beam shaping, mask-less lithography, energy congregation in high power lasers, soft X-rays focus, and any other field that requires a smaller or sharper diffractive center spot.     

高数值孔径光刻成像中双层底层抗反膜的优化

在高数值孔径光学光刻中,成像光入射角分布在较大范围内,传统的单底层抗反膜不足以控制抗蚀剂-衬底界面反射率(衬底反射率)。考虑照明光源形状以及掩模的影响,提出了一种新的双层底层抗反膜优化方法,依据各级衍射光光强求衬底反射率的最小权重平均值来配置膜层。针对传统掩模、衰减相移掩模以及交替相移掩模的情况,用该方法优化双层底层抗反膜。结果表明,如果成像时进入物镜光瞳的高阶光越多,高阶光光强越大,则掩模对底层抗反膜优化的影响越大。在某些成像条件下,如使用交替相移掩模实现成像,有必要在底层抗反膜优化中考虑掩模的影响。     

KB镜成像模拟以及与菲涅耳波带板成像的比较

采用坐标变换方法自编光线追迹程序模拟了Kirkpatrick-Baez镜在X射线波段的掠入射成像,获得了视场、分辨率等结果.比较了给定参量条件下Kirkpatrick-Baez镜与菲涅耳波带板两种高分辨X射线成像的特性,给出两者各自适用范围.Kirkpatrick-Baez镜成像有比较高的系统效率,在视场中心的空间分辨能力可达0.71 μm,但偏离视场中心±200 μm,空间分辨能力显著下降至6 μm,适用于较小视场的成像.菲涅耳波带板成像不仅在视场中心可以实现0.39 μm的空间分辨能力,偏离视场中心达±13 mm,空间分辨能力也几乎不变,可实现大视场高分辨成像.