Diffractive Alvarez lens

A diffractive Alvarez lens is demonstrated that consists of two separate phase plates, each having complementary 16-level surface-relief profiles that contain cubic phase delays. Translation of these two components in the plane of the phase plates is shown to produce a variable astigmatic focus. Both spherical and cylindrical phase profiles are demonstrated with good accuracy, and the discrete surface-relief features are shown to cause less than lambda/10 wave-front aberration in the transmitted wave front over a 40 mm x 80 mm region.     

软X射线聚焦波带片相对衍射特性的实验研究

通过测量软X射线相位型和振幅型聚焦波带片的一级衍射强度,实验得到了自行研制的两种相位型软X射线聚焦波带片的相对衍射特性。测量实验装置简单,调节相对容易。选择合适的针孔大小可使得接收信号有足够的信噪比。对波带片聚酰亚胺衬底的厚度进行了归一化。分别将3个镍和锗波带片的一级衍射强度与金波带片进行了比较。在3.2nm工作波长,研制的镍、锗软X射线相位型波带片的平均一级衍射效率分别是软X射线振幅型金波带片一级衍射效率的1.60和1.26倍,与理论值1.77和1.34很接近。测试结果表明,我们制作的相位型波带片具有较高精度。     

Fractal zone plates

Fractal zone plates (FZPs), i.e., zone plates with a fractal structure, are described. The focusing properties of this new type of zone plate are compared with those of conventional Fresnel zone plates. It is shown that the axial irradiance exhibited by the FZP has self-similarity properties that can be correlated to those of the diffracting aperture.     

准随机点阵二值化Gabor波带片聚焦特性的数值计算

 Fresnel波带片有多个焦点,作为单色器波长选择元件使用时会受到高级衍射的影响。而Gabor波带片只有一个焦点,有更好的聚焦特性,但制作难度较大,准随机点阵二值化Gabor波带片概念的提出则解决了这个问题。介绍了准随机点阵二值化Gabor波带片的设计,并利用优化的程序分别对Fresnel波带片和准随机点阵二值化Gabor波带片的聚焦特性进行了模拟计算,通过对计算结果进行分析比较,发现准随机点阵二值化Gabor波带片具有抑制高阶衍射的特性。     

X-ray zone plates in combination with diffraction reflection

We have studied focusing of X-ray beams with use of X-ray zone plates combined with diffraction reflection. Expressions are obtained for the focal length of a zone plate combined with two or one diffraction reflection. We propose to simplify the technology of fabrication of zone plates and indicate the possibility of obtaining zone plates with ultrashort focal lengths. A zone plate as combined with diffraction reflection may become a focusing element of X-ray microscope. It may also be used for both focusing X-ray radiation from laboratory sources and synchrotron radiation.     

软X射线相位型聚焦波带片的研制

软X射线波带片是软X射线光学中聚焦、色散和成像的重要元件。以激光全息-离子束刻蚀技术制作金的振幅型软X射线聚焦波带片,以此为掩模,利用接触式同步辐射光刻和离子束刻蚀技术在聚酰亚胺衬底上,分别制作出了镍和锗的软X射线相位型聚焦波带片。     

周期多孔板的面内振动衰减域及其优化

针对Bragg散射型周期多孔板难以实现较低起始频率并维持较宽衰减域的问题,优化设计了一种含菱形孔的周期多孔板。采用有限元法结合周期边界条件,并运用COMSOL对周期多孔板的面内弹性波频散关系进行计算,通过ANSYS模拟有限尺寸周期多孔板的频率响应,将周期多孔板悬吊进行了正弦波激励的振动试验。研究结果表明,含菱形孔的周期多孔板相比于含圆形和六边形孔的周期多孔板具有更宽的衰减域;材料属性对衰减域影响较大,丁晴橡胶和硅橡胶易于获得低频衰减域;孔隙率的增大有利于获得低频宽带的衰减域;增大菱形孔水平夹角能获得较宽的衰减域。对衰减域的形成机理分析发现,含菱形孔的周期多孔板同时具有Bragg散射型和局域共振型声子晶体的特性,表明两种衰减域机理具有内在的联系。优化设计的周期多孔板存在一条5281.76 Hz至8824.30 Hz的完全衰减域,经过至少2个周期,振动即得到较明显衰减。数值和试验得到的衰减区具有较高的一致性。该研究为减振降噪板的开发提供了新的思路,且由于制作过程便捷,在改善建筑声环境中具有潜在的应用前景。      

Lacunar fractal photon sieves

We present a new family of diffractive lenses whose structure is based on the combination of two concepts: photon sieve and fractal zone plates with variable lacunarity. The focusing properties of different members of this family are examined. It is shown that the sieves provide a smoothing effect on the higher order foci of a conventional lacunar fractal zone plate. However, the characteristic self-similar axial response of the fractal zone plates is always preserved.     

Rapid fabrication of surface-relief plastic diffusers by ultrasonic embossing

This paper discusses an innovative and effective ultrasonic embossing process, which enables the rapid fabrication of surface-relief plastic diffusers. The metallic mold bearing the microstructures is fabricated using a tungsten carbide turning machine. A 1500-W ultrasonic vibrator with an output frequency of 20 kHz was used to replicate the microstructure onto 1-mm-thick PMMA plates in the experiments. During ultrasonic embossing, the ultrasonic energy is converted into heat through intermolecular friction at the master mold/plastic plate interface due to asperities to melt the thermoplastic at the interface and thereby to replicate the microstructure. Under the proper processing conditions, high-performance plastic diffusers have been successfully fabricated. The cycle time required to successfully fabricate a diffuser is less than 2 s. The experimental results suggest that ultrasonic embossing could provide an effective way of fabricating high-performance plastic diffusers with a high throughput.     

自支撑二值化Beynon-Gabor波带片的制备及其单级聚焦特性

Gabor波带片是一种理想的单级聚焦光学元件,但制备困难.本文采用聚焦离子束直写技术成功制备出30环、20扇区的二值化Beynon-Gabor波带片,其有效面积半径为700μm,第一环半径90μm.利用各向异性腐蚀液对硅基底进行开孔,实现了Beynon-Gabor波带片二值化、自支撑、镂空的结构特征.在波长为355 nm的激光下测试其光学性能,结果表明所制备的Beynon-Gabor波带片主光轴上只存在1级衍射叠加后的焦点,不存在高级衍射焦点,具有优异的单级聚焦性能.     

White Light Photorefractive Phase Zone Plates

Incoherent white light from an incandescent source is employed to fabricate volume phase zone plates in LiNbO3：Fe, for the first time to our knowledge, which can guide and modulate the input white light or laser light. The diffractive efficiency of the white light volume phase zone plates fabricated can reach as high as 12%. In addition, we test the volume phase zone plates by a probe beam and find that the volume phase zone plate is present in the direction perpendicular to the c-axis and absent in the direction parallel to the c-axis. This directly proves the existence of photovoltaic photorefractive anisotropy of white light.     

Focusing behavior of fresnel zone plates having various central phases

A point source focused by a Fresnel zone plate may interfere constructively or destructively with the undiffracted background. Fresnel zone plates with unusually small dark centers empirically lead to constructive interference.     

软X射线聚焦波带片制备工艺的研究

利用全息光刻和离子束刻蚀技术制作了用于软Ｘ射线聚焦和色散的三种参数的高精度菲涅耳波带片，给出了实验结果。     

One of ten billion earths – how we learn about our planet’s past and future from distant exoplanets

The classical Fresnel zone plate, with its alternate opaque and transparent zones, behaves like a lens which is simultaneously both converging and diverging. Improvements in the performance of such zone plates has recently led to some attention being given to their potential use as lenses in certain applications. The image formation involved in holography is strikingly similar to that characteristic of the zone plats and a hologram may be considered as a generalized zone plate. In this respect the sine-wave zone plate, in which the amplitude transmission is continuously distributed according to a sine-wave, is of primary importance. By examining the properties of such a plate it is possible to understand holographic image reconstruction.     

Nanofabrication of 50 nm zone plates through e-beam lithography with local proximity effect correction for x-ray imaging

High resolution Fresnel zone plates for nanoscale three-dimensional imaging of materials by both soft and hard x-rays are increasingly needed by the broad applications in nanoscience and nanotechnology.When the outmost zone-width is shrinking down to 50 nm or even below,patterning the zone plates with high aspect ratio by electron beam lithography still remains a challenge because of the proximity effect.The uneven charge distribution in the exposed resist is still frequently observed even after standard proximity effect correction(PEC),because of the large variety in the line width.This work develops a new strategy,nicknamed as local proximity effect correction(LPEC),efficiently modifying the deposited energy over the whole zone plate on the top of proximity effect correction.By this way,50 nm zone plates with the aspect ratio from 4:1 up to 15:1 and the duty cycle close to 0.5 have been fabricated.Their imaging capability in soft(1.3 keV)and hard(9 keV)x-ray,respectively,has been demonstrated in Shanghai Synchrotron Radiation Facility(SSRF)with the resolution of 50 nm.The local proximity effect correction developed in this work should also be generally significant for the generation of zone plates with high resolutions beyond 50 nm.     

Interferometry for measuring large aspherical surfaces with holographic optical elements

Interferometry for measuring the shape of large aspherical surfaces is reported. The interference fringe pattern between the parallel reference beam and the reconstructed wavefront from the master zone plate which is drawn by an electron-beam drawing machine is recorded on a hologram plate with off-axis optical arrangement. The hologram plate used as the standard element is reconstructed by the conjugate beam in a modified Twyman-Green interferometer. Insufficient parallelism of commercial hologram plates can be compensated by this method. It is also easy to make replicas. Some experimental results are also presented.     

In-plane attenuation zone and its optimization in a plate with periodic holes

It is difficult to design a plate with wide attenuation zones in low frequency region based on Bragg scattering mechanism. A plate with periodic rhombic holes is optimized and designed. Based on the finite element method under periodic boundary conditions, the in-plane dispersion curves of periodically perforated plate are calculated via COMSOL. The frequency responses of periodically perforated plate axe investigated via ANSYS simulation. The plates with periodic holes are suspended and dynamically tested under sinusoidal excitations. The results show that a periodically perforated plate with rhombus holes has wider attenuation zones than plates with circular and hexagonal holes. Material properties have a great influence on attenuation zones: nitrile-butadiene rubber and silicon rubber can easily obtain low-frequency zones, while increasing porosity creates lower and wider zones. The width of attenuation zone increases as the horizontal angle of the rhombus holes increases. An analysis of the attenuation zones* generation mechanism shows that the plate with periodic holes exhibits characteristics of Bragg scattering and local resonant phononic crystal, indicating an inherent relationship between two types of mechanisms. The optimized plate has a complete attenuation zone ranging from 5281.76-8824.30 Hz. The vibrations are significantly reduced when the number of periods is no less than two. The attenuation range obtained via the numerical method is generally consistent with the experiment. The research sheds light on the noise insulation plate and has the potential to improve the sound environment in various applications due to its simple manufacturing.     

Study of spatial resolution of circular and off-axis zone plates

The effect of limiting the zone plate aperture on its resolution was studied. Analytical formulas for calculating the field in the image plane were derived. The field distribution in the focal plane of circular and off-axis zone plates was numerically simulated.     

Optical transmission through metallic nanoslit with symmetric or asymmetric surface-relief profile

The enhanced optical transmission through metallic nanoslit with symmetric or asymmetric surface-relief profile is investigated based on rigorous electromagnetic theory by using the boundary integral method (BIM). Metallic nanoslits with different geometrical structure surfaces: asymmetric sinusoid surface-relief profile and symmetric sinusoid surface-relief profiles, are investigated. The transmission spectra are calculated and the corresponding intensity distributions of magnetic fields at the resonant wavelengths are numerically emulated and illuminated. The numerical results show that there are two transmission peaks - attributed to the nanoslit geometrical structure and the metallic material, respectively, and the normalized transmittance through the conventionally rectangular nanoslit will be enhanced largely when its surface profile is replaced by the smoothly surface-relief shape of the metallic nanoslit. It is indicated that anomalously high transmission is quite sensitive to the surface geometrical profile of the nanoslit and the incident direction of the light wave.     

Wave-plate polarizing beam splitter based on a form-birefringent multilayer grating

We have fabricated a novel device that acts as a quarter-wave plate at normal incidence and as a polarizing beam splitter at an angle of incidence of ~40 deg . The device is made from a multilayer (SiO(2) /Si(3)N(4)) surface-relief zeroth-order one-dimensional grating with a period of 0.3 mum . The device is designed for an operating wavelength of 632.8 nm. We designed the device by using rigorous coupled-wave analysis and fabricated it by direct-write electron-beam lithography and reactive ion etching. Measurements confirmed the performance of the device as a wave plate and as a polarizing beam splitter.