大数值孔径光子筛偏振特性研究

根据角谱理论建立不同偏振照明条件下的光子筛矢量衍射模型。在此基础上,对入射光分别为线偏振光、径向偏振光、切向偏振光三种特殊偏振状态下的光子筛聚焦光强分布进行了模拟分析。研究结果表明,对于大数值孔径光子筛,入射光的偏振特性将对光子筛聚焦光强分布产生巨大影响。线偏振光将使聚焦光斑沿偏振方向拉伸,切向偏振光产生的聚焦光斑具有"中空"结构,而径向偏振光所产生的聚焦光斑呈较为规则的圆形,且其焦深优于线偏照明情况。在激光直写及高分辨成像等光子筛典型应用中采用径向偏振照明将进一步提高系统分辨力。     

高次方涡旋光束经大数值孔径透镜的聚焦特性

为了获得多种类型的波长量级聚焦光斑,研究了一种新型涡旋光束,高次方涡旋光束经过大数值孔径透镜的聚焦。基于矢量德拜积分公式,理论上研究了线偏振的高次方涡旋光束经过大数值孔径透镜的聚焦特性。研究了涡旋光束的拓扑荷数和幂次方数对聚焦平面光强和电场x分量的相位分布的影响。研究结果表明,通过控制涡旋光束的拓扑荷数和幂次方数可以产生不同类型的聚焦光强分布,例如尺寸约为2个波长大小的实心和空心型聚焦光斑。此外,与普通的涡旋光束聚焦不同,高次方涡旋光束聚焦后的奇点并不在焦点处。这些特殊的聚焦光斑有望在微粒的操控等领域中得到应用。     

拉盖尔高斯径向偏振光高数值孔径聚焦特性

光波在高数值孔径聚焦下焦点区域光强分布呈现出的特殊性质已经被应用到光学显微成像、微粒控制、光存储等领域中.本文基于矢量Deby衍射理论研究了TM01模拉盖尔高斯径向偏振光经高数值孔径聚焦下焦点区域光强分布.通过调节入瞳半径与光束束腰之比,发现拉盖尔高斯径向偏振光光斑由明亮尺寸小光斑变化成环形中空光斑,并且通过光瞳滤波器...     

卢卡斯光子筛的聚焦特性研究

介绍了一种基于卢卡斯数编码设计的轴上四焦点光子筛,其各焦距分布与黄金分割比密切相关.实验上利用相移数字全息验证了设计器件具有轴上四焦点聚焦特性,测量结果表明:轴向焦距和横向焦斑光强分布与理论设计值一致.该振幅型光子筛具有体积小、重量轻、易加工等优点,可应用于X波段显微和生物细胞阵列成像等领域.     

基于角谱法的振幅型光子筛的设计和分析

对光子筛的聚焦成像原理作了分析,并用平面波角谱方法对光子筛聚焦成像进行了数值模拟.模拟结果表明,光子筛聚焦具有提高分辨率和抑制高级衍射的优点.在理论分析和计算机模拟的基础上,设计并制作了Fresnel波带片、未平滑处理和平滑处理后的光子筛.用波长为532 nm激光光源对波带片和光子筛聚焦光斑进行检测.结果表明,光波通过光子筛聚焦后的光斑比波带片的光斑更细,成像对比度更高.     

紧聚焦条件下的轴向双焦点波带片EI北大核心CSCD

基于紧聚焦条件下的矢量衍射理论推出了一个解析解形式的环半径公式,利用此公式设计得到的二元相位波带片可以使入射光的紧聚焦区域呈现轴向双焦点分布。并且,公式中的两个焦点的轴向距离和环半径直接相关,可以设计一系列的具有不同轴向距离的二元相位波带片,用来调制高数值孔径物镜,使其产生轴向可调的双焦点。以径向偏振贝塞尔-高斯光束为例,数值模拟了在不同轴向偏移距离的二元相位波带片的调制下的紧聚焦场的空间强度分布。数值模拟结果表明,基于此类二元相位波带片可以成功地实现轴向距离可调的双焦点。此外,利用一些具有特殊轴向距离的二元相位波带片,还可产生"光泡"与"光针"等特殊的紧聚焦场分布。因此,此类二元相位波带片有望应用于微粒子的动态操控与捕获。     

紧聚焦条件下的轴向双焦点波带片

基于紧聚焦条件下的矢量衍射理论推出了一个解析解形式的环半径公式,利用此公式设计得到的二元相位波带片可以使入射光的紧聚焦区域呈现轴向双焦点分布。并且,公式中的两个焦点的轴向距离和环半径直接相关,可以设计一系列的具有不同轴向距离的二元相位波带片,用来调制高数值孔径物镜,使其产生轴向可调的双焦点。以径向偏振贝塞尔-高斯光束为例,数值模拟了在不同轴向偏移距离的二元相位波带片的调制下的紧聚焦场的空间强度分布。数值模拟结果表明,基于此类二元相位波带片可以成功地实现轴向距离可调的双焦点。此外,利用一些具有特殊轴向距离的二元相位波带片,还可产生"光泡"与"光针"等特殊的紧聚焦场分布。因此,此类二元相位波带片有望应用于微粒子的动态操控与捕获。     

基于非正交二元相位板的多焦点阵列光镊

提出了一种基于非正交二元相位板的阵列光镊系统,此系统可以实现对非正交排列的多个粒子的稳定捕获。通过对高数值孔径物镜在紧聚焦条件下的傅里叶变换理论和遗传算法来设计二元相位,优化得到具有不同分束比的,具有高衍射效率、高均匀度的归一化相位转折点,进而根据相位转折点设计出具有不同倾斜角度的非正交二元相位板。利用此二元相位板可以获得高数值孔径物镜聚焦下的各种非正交分布的阵列光斑。利用此类非正交阵列光斑,在光镊实验中实现了对二氧化硅微球的稳定捕获。理论模拟与实验结果表明,此方法可以实现对非正交排列的大量粒子的稳定捕获,在纳米粒子阵列的外延生长领域有着良好的应用前景。     

双焦点光子筛聚焦特性的精细测量

利用数字全息测量方法结合变采样间距的衍射传输算法实现双焦点光子筛器件焦距及焦斑的同时精细测量.给出了双焦点光子筛器件及其理论焦斑分布,采用双曝光的离轴全息方法得到了CCD接收面处光场的复振幅分布,基于此光场通过变采样间距的衍射传输算法获得具有较高分辨率的双焦点光子筛的聚焦场特征,与CCD直接测量结果相比,焦斑分辨率提高了10倍,双焦点光子筛的焦距等于自动对焦算法及强度最大值扫描方式分别求得的两段距离之和.实验结果表明测得的双焦距与设计焦距偏差分别为0.53%和0.37%,得到的两个焦斑半值全宽与设计值相比,其偏差分别为2.86%和1.86%.本文提出的测量方法除了应用于光子筛类器件的性能检测以外,还能够广泛应用于其它类衍射透镜聚焦特性的测量与性能分析.     

斐波那契光子筛的聚焦成像特性

应用斐波那契数列,提出了一种双焦点光子筛,并基于惠更斯-菲涅耳原理,分析了斐波那契光子筛的聚焦特性。数值仿真结果表明,当单色平面波通过斐波那契光子筛时,它能够获得两个焦距比约为黄金分割比的轴向焦点。筛孔直径等于所在轨道宽度的1.165倍时,两个焦点处光强相等。与斐波那契波带片相比,斐波那契光子筛具有更高的横向分辨率。最后引入高斯切趾技术,对斐波那契光子筛筛孔个数进行调制,在两个焦平面上进一步提高横向的分辨率。由于斐波那契光子筛体积小、重量轻、设计灵活,而且具有多焦性,可以用于光学开关、纳米光刻、生物仿生眼、多焦成像和测距,甚至在X射线显微技术和太赫兹成像技术都将有新的应用。     

Photon sieve for reduction of the far-field diffraction spot size in the laser free-space communication system

In the free-space laser communication, there is sometimes a strong need for reduction of the diffraction spot size in the far field. In this paper, instead of the usage of the larger size aperture lens and super-resolution technology in the free-space laser communication system, we introduce photon sieve to compress the center spot in the diffractive far field, which can decrease the weight of the emitting lens. We have designed the photon sieve and calculated its far-field diffractive intensity. We have also calculated the far field Airy diffractive field intensity. Simulation proves that the photon sieve diffractive spot is smaller than the Airy spot with the same transmit aperture. We have set up an experimental system to simulate the far-field diffraction free-space laser communication. Experimental results are in good agreement with the theoretical results. Detailed experiments are presented.     

Large‐aperture prism‐array lens for high‐energy X‐ray focusing

A new prism‐array lens for high‐energy X‐ray focusing has been constructed using an array of different prisms obtained from different parabolic structures by removal of passive parts of material leading to a multiple of 2π phase variation. Under the thin‐lens approximation the phase changes caused by this lens for a plane wave are exactly the same as those caused by a parabolic lens without any additional corrections when they have the same focal length, which will provide good focusing; at the same time, the total transmission and effective aperture of this lens are both larger than those of a compound kinoform lens with the same focal length, geometrical aperture and feature size. This geometry can have a large aperture that is not limited by the feature size of the lens. Prototype nickel lenses with an aperture of 1.77 mm and focal length of 3 m were fabricated by LIGA technology, and were tested using CCD camera and knife‐edge scan method at the X‐ray Imaging and Biomedical Application Beamline BL13W1 at Shanghai Synchrotron Radiation Facility, and provided a focal width of 7.7 µm and a photon flux gain of 14 at an X‐ray energy of 50 keV.     

Phase zone photon sieve

A novel diffractive optical element, named phase zone photon sieve (PZPS), is presented. There are three kinds of phase plates in PZPSs: PZPS1, PZPS2, and PZPS3. Each of the PZPSs has its own structure and is made on quartz substrate by etching. The three PZPSs have stronger diffraction peak intensity than a photon sieve (PS) when the margin pinhole and zone line width are kept the same. The PZPS3 can produce a smaller central diffractive spot than the ordinary PS with the same number of zones on the Fresnel zone plate. We have given the design method for and the simulation of PZPS and PS. PZPS has potential applications in optical maskless lithography.     

A hybrid doubled achromat based on a photon sieve

Photon sieves are diffractive optical elements with large chromatic aberration. To correct the dispersion of a photon sieve, a novel hybrid doubled achromat combined a photon sieve and a refractive lens is proposed. The design of this achromat applies the opposite dispersive characteristics of diffractive and refractive elements. Two design examples for different bandwidths of 300 nm and 80 nm in visible spectrum are given. For analyzing their focusing properties, the intensity distributions both along the axis and at the focal plane are studied. The results illustrate that the achromatic design is achieved and the secondary spectrum can be corrected for a narrow bandwidth. And compared to traditional hybrid achromat, it can focus to a sharper spot.     

Tight parabolic dark spot with high numerical aperture focusing with a circular π phase plate

The properties of tight dark focal spot created using a simple circular π phase plate are presented. For focusing elements with low numerical aperture, the focal plane intensity has r⁴ dependence, while for focusing elements with high numerical aperture, vectorial diffraction effects become important, and the focal plane intensity surprisingly approaches r² dependence, indicating a much tighter dark spot.     

影响连续相位板聚焦性能的主要因素

为提高惯性约束聚变系统中聚焦光斑的能量集中度,分析了在应用过程中影响连续相位板性能的主要误差来源,并建立了相应的数学模型。通过分析得出存在误差时远场焦斑的能量集中度和均方根值,且口径误差、对准误差、振幅畸变误差对连续相位板的聚焦性能影响很小,波前畸变影响能量集中度的权重最大。进一步分析可知:当畸变波前相关长度与连续相位板的最小空间周期（10 mm左右）相当时,畸变波前极大地影响激光的聚焦性能,提高惯性约束聚变系统中畸变波前的相关长度是提高聚焦光斑的能量集中度的有效方法。     

Performance parameters for highly-focused electromagnetic waves

New performance parameters are presented for electromagnetic focusing systems of high numerical aperture. The field in the focal region is expanded into either electric/magnetic dipole components, or transverse electric/magnetic components. The treatments can be applied to the important case of electric dipole waves, where the focused polarization distribution is the same as that of an electric dipole. For the limiting case of a system of unity numerical aperture, the transverse focus for a focused electric dipole field is sharpened up by 19% compared with an aplanatic system with plane-polarized input, while at the same time the focal intensity for a given input power is increased by 17%. This should be contrasted with using a pupil filter, in which case, as the focal spot is made smaller the focal intensity also decreases. Pure TE polarization results in an even smaller central lobe. Other inhomogeneous polarizations can also be investigated as linear combinations of electric/magnetic or TE/TM components.     

Imaging properties of photon sieve with a large aperture

We report the optimization design and experimental results for the imaging properties of a photon sieve, which is formed on a layer of metal film supported by a thin glass substrate. As an example, we considered a micro-optical element with parameters of diameter D=50 mm, 3,564,290 hole number, and 10 μm minimum micro-hole diameter, which was designed and fabricated by means of surface machining technique in the lab. To evaluate its imaging performance, both on-axis and off-axis imaging experiments were carried out using the element. Compared to a Fresnel zone plate lens with the same feature size, the photon sieve has super imaging performance. Some quantitative analyses and initial qualitative explanations were given for the imaging characteristics.     

Sharper focal spot below λ/4 of azimuthally polarized illumination phase-encoded by the binary 0/π phase plate

The intensity distribution in the focal region for the azimuthally polarized beam phase-encoded by the binary 0/π phase plate is calculated on the basis of the vector diffraction theory. With the annular pupil aperture employed, the resolution of the focal spot will be improved remarkably. We demonstrate a sharper focal spot with full width at half maximum (FWHM) of 0.223λ (below λ/4), significantly smaller that of linear, circular and radial polarization beam under the same condition. The focusing phenomena for illumination beam with various polarization status and beam shapes are analyzed explicitly. This analysis could have potential applications in confocal microscopy and two-photo microscopy for polarization difference imaging.