An Inverse Problem in Periodic Diffractive Optics: Reconstruction of Lipschitz Grating Profiles

We consider the problem of recovering a two-dimensional periodic structure from scattered waves measured above the structure. Following an approach by Kirsch and Kress, this inverse problem is reformulated as a nonlinear optimization problem. We develop a theoretical basis for the reconstruction method in the case of an arbitrary Lipschitz grating profile. The convergence analysis is based on new perturbation and stability results for the forward problem.     

Morphological reorganization and mechanical enhancement in multilayered polyethylene/polypropylene films by layer multiplication or mild annealing

Shortly after processing, Polyethylene/Polypropylene (PE/PP) multilayer films demonstrate an increase in tensile modulus and other mechanical properties when the individual layer thickness is below 0.5 µm. Subsequent annealing at 60 °C for 16 h brings the properties of all other samples to similar values. WAXD characterization of the layered films identified a prevalence of mesophase in the thicker PP layers. In samples with increased layer numerosity or subjected to annealing, WAXD detected its conversion to α crystalline phase that correlates with improved mechanical properties. SSNMR and DSC detailed the defective nature of α iPP crystallites. Comonomers, detected by NMR in the commercial polymers used for the films, are the source of “tunable disorder” that dictates the formation of the PP mesophase and the low temperature of conversion to the mechanically stronger defective α phase. Soft intrafilm layer interfaces instead enable nucleation and localized polymer chain rearrangement even without annealing. © 2017 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2018 , 56, 520–531     

Effect of variation in signal amplitude and transit time on reliability analysis of ultrasonic time of flight diffraction characterization of vertical and inclined cracks

The variation of amplitude and transit time of the diffracted signal from the crack-tip in complex geometry components and their resulting effect on the probability of detection (POD) and probability of sizing (POS) was studied. The diffracted signal amplitude has been evaluated from the standard expressions for diffraction coefficient, spatial attenuation and the transit time from the respective mathematical models for both vertical and inclined cracks. The same parameters namely the signal amplitude and the transit time have been measured through experiments conducted on simulated test specimens. It has been observed that the analytical and experimental results compare well with each other. Based on this result the trend and shape (width of the transition zone) of the POD/POS curves can be predicted.     

Running coupling corrections to non-linear evolution for diffractive dissociation

We determine running coupling corrections to the kernel of the non-linear evolution equation for the cross section of single diffractive dissociation in high energy DIS. The running coupling kernel for diffractive evolution is found to be exactly the same as the kernel of the rcBK evolution equation.     

MR diffusion - "diffraction" phenomenon in multi-pulse-field-gradient experiments

Using pulsed-field-gradient (PFG) experiments, the sizes of the pores in ordered porous media can be estimated from the "diffraction" pattern that the signal attenuation curves exhibit. A different diffraction pattern is observed when the experiment is extended to a larger number (N) of diffusion gradient pulse pairs. Simulations to calculate signal values from arbitrary gradient waveforms are performed for diffusion in restricted geometries using a matrix operator formalism. The simulations suggest that the differences in the characteristics of the attenuation curves are expected to make it possible to measure smaller pore sizes, to improve the accuracy of pore size measurements and potentially to distinguish different pore shapes using the N-PFG technique. Moreover, when an even number of PFG pairs is used, it is possible to observe the diffraction pattern at shorter diffusion times and measure an approximation to the average pore size even when the sample contains pores with a broad distribution of sizes.     

In-plane ESPI using an achromatic interferometer with low-coherence laser source

The use of an achromatic interferometer is explored as a means of doing in-plane ESPI measurements using a laser diode as the light source. This interferometer type, which uses a diffraction grating in place of the conventional beamsplitter, has two features that make it suitable for making ESPI measurements over extended areas, even when using a low-coherence laser diode source. First, the parallelogram optical geometry of the interferometer causes all rays passing through to have the same optical path lengths. Second, the interferometer is achromatic, whereby the piezo-actuated mirror that steps the illumination light does so by the same phase angle, independent of wavelength. This latter feature accommodates the spectral impurity of a laser diode source. A periodic variation of fringe visibility is observed in experiments, where narrow ranges of high visibility occur at regular spatial intervals. This behavior derives from the clustered discrete spectral character of laser diode light output. A method to “tune” the interferometer by slightly rotating the diffraction grating is described so as to achieve consistent high fringe visibility throughout the measured images.     

非均匀螺旋相位调制下对称破缺角向偏振光束的聚焦特性

提出了一种多参量调控角向偏振光束焦场强度和横向能流的方法.基于矢量衍射积分理论,数值模拟了非均匀螺旋相位和旋转对称振幅挡板调制下角向偏振光束的聚焦特性,讨论了螺旋相位结构和对称振幅挡板联合调制下,角向偏振光束焦场横向能流和偏振态的分布.结果表明:非均匀螺旋相位的引入改变了光场的聚焦特性,导致聚焦场重心产生了偏移;在偶数重旋转对称振幅挡板的联合调制下,焦场中出现了局部的椭圆偏振态和圆偏振态,且焦平面上出现了横向能流;通过调节螺旋相位,不仅可以实现焦场重心的特殊控制,还能进一步丰富焦场偏振态和横向能流分布.这种基于多参量调控焦场强度和能流分布的方法为实现操控特定区域的粒子提供了新的思路.     

掺杂PbSe/PVA量子点的光致聚合物全息特性

通过原位合成法以聚乙烯醇辅助合成了6.5nm、10nm和15nm的PbSe量子点,研究了掺杂PbSe量子点的光致聚合物的全息特性.将三种尺寸的PbSe量子点按不同浓度分别掺入光致聚合物中,制成无机-有机复合型光致聚合物膜,并对其全息性能进行研究.复合聚合物膜的UV-Vis吸收光谱表明掺入的PbSe量子点并未与聚合物中的有机组分发生化学反应.采用氩氪离子激光器输出的647nm红光研究了复合聚合物膜的透过率和全息记录光栅的布喇格偏移与衍射效率.透过率曲线表明PbSe量子点在复合聚合物膜中分散良好,膜表面均匀.由于PbSe量子点在聚合物链中起支撑作用,复合聚合物膜在全息记录过程中不易发生形变,从而增加了聚合物膜的抗缩皱能力.衍射效率曲线表明掺入PbSe量子点的复合聚合物膜的衍射效率比未掺杂的有所提高.此外,体系存在一个最优值,当掺入平均粒径为10nm且浓度为3.6×10-6 mol/L的PbSe量子点时,样品的透过率达到84%,衍射效率从67.2%提升到89.7%,缩皱率降低到0.8%,极大提高了材料的全息性能.     

非自治吊桥方程的一致吸引子

作者讨论了非自治吊桥面方程的长时间动力学行为.通过应用一些新的结果和能量估计技巧,获得了能量的一致衰退估计.当外力项f满足条件（C*）（而非平移紧）时,作者证明了一致吸引子在H20（Ω）×L2(Ω)上的存在性,此结果推广和改进了一些已有结果.     

谷氨酸钠溶液514nm激光拉曼光谱受环境光影响的研究

探讨了环境光的存在对谷氨酸钠溶液的514 nm绿色激光激发的拉曼光谱的影响.研究表明不同的环境光、自然光和室内荧光灯光均会对514 nm激光拉曼光谱产生干扰,存在着特征干扰峰.自然阳光干扰较小;而荧光灯光表现为1127、2107 cm-1和2170 cm-1等3个明显尖锐的脉冲峰,不能忽略.建议在进行谷氨酸钠溶液514 nm绿色激光拉曼光谱检测时,须在暗室或暗罩中进行,以完全隔离环境光的影响.