On the commutator of the Marcinkiewicz integral

boundedness is considered for the commutator of higher-dimensional Marcinkiewicz integral. Some conditions implying the and the boundedness for the commutator of the Marcinkiewicz integral are obtained.     

广义Benjamin-Bona-Mahony方程Fourier谱方法的大时间误差估计

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On vector-valued random Fourier series

Consider a (complex) Banach spaceX, such thatX C_O, and vectors(X _i ) _i ofX. Consider an independent standard normal sequence(g _i ) _i . Then if anX-valued random Fourier series _{|k| n} e ^ikt g _k x _k satisfies

Randomised circular means of Fourier transforms of measures

We explore decay estimates for circular means of the Fourier transform of a measure on in terms of its -dimensional energy. We find new upper bounds for the decay exponent. We also prove sharp estimates for a certain family of randomised versions of this problem.

     

一种新的三维计算全息图的计算方法

介绍了一种制作真实三维物体计算全息图的新方法。用摄像机记录三维物体在非相干光照明条件下两个正交方向上不同视角的一系列投影像，将这些投影像导入计算机，在MATLAB中对其作快速傅里叶变换。对这一系列二维投影像的傅里叶变换图进行抽样，得到三维物体在透镜后焦平面上的光场分布，进而制成一张计算全息图。结果证明该方法可以实现对真实物体三维全息图的合成，并且在算法实现上更加简单，提高了程序的运行速度，有利于改善全息图再现像的质量。为解决真实物体相干全息记录中光源功率和相干长度对全息记录可行性的限制指出了一个新的方向。     

Interlaced Fourier transformation of ultrafast 2D NMR data

A new protocol for processing the data arising in ultrafast 2D NMR is discussed and exemplified, based on the interlaced Fourier transformation. This approach is capable of dealing in a single, combined fashion, with the two mirror-imaged interferograms arising in this kind of experiment as a result of the acquisition of a train of magnetic field gradient echoes. By combining all the acquired data points into a common Fourier processing procedure the spectral width along the direct-acquisition domain becomes effectively doubled, giving the opportunity of employing acquisition gradients that are approximately half as strong as hitherto required. This in turn should lead to an overall enhancement in the signal-to-noise ratio of the experiment of ca. 2, as well as to improvements in the achievable digital resolution. These expectations were tested by carrying out a series of homo- and heteronuclear ultrafast 2D NMR acquisitions, and found systematically fulfilled. The robustness and conditions that allow the interlaced numerical procedure to be implemented in routine analytical applications were explored and are briefly discussed.     

Structural characterization of nanopatterned surfaces

In this work, chemically and topographically nanopatterned surfaces were produced by a top-down processing approach for biosensing devices. The nanopatterning was the result of the combination of plasma polymerisation (pp) of biofunctional materials and colloidal lithography techniques. The morphological and chemical properties induced by the plasma deposition-etching treatment were characterised by optical method combining ellipsometry and Fourier Transform Infrared spectroscopy studies. This method supported by atomic force microscopy measurements, allowed the full optical characterization of each step of the top-down process. The optical characterization of the end-up nanopatterned samples demonstrated that the chosen process is able to produce well-defined nanostructured surfaces with controlled chemical and morphological properties.     

基于法布里-珀罗调谐滤波器的傅里叶域锁模扫频激光光源

报道了一个光纤型1300 nm波段的傅里叶域锁模(Fourier domain mode locking, FDML)扫频激光光源, 用于扫频光学相干层析成像技术 (optical coherence tomography, OCT) 成像. 本实验扫频激光光源采用包含增益介质、调谐滤波器和延迟线组成的长腔激光谐振腔以及光功率增强单元. FDML扫频激光光源具有快速和高度稳定运转模式, 相位稳定性好. 基于法布里-珀罗调谐滤波器(fiber Fabry-Perot tunable filter, FFP-TF)的FDML扫频激光光源扫频范围为130 nm, 半高全宽为70 nm, 输出平均功率是11 mW. 与基于FFP-TF的短腔的扫频光源做了对比研究, FDML扫频光源速度从短腔的8 kHz提高到了48.12 kHz, 对应生物组织OCT成像轴向分辨率为7.8 μm, 比短腔的减小了1.9 μm. 关键词： 光学相干层析技术 扫频激光光源 傅里叶域锁模 法布里-珀罗调谐滤波器     

新型傅里叶变换光谱仪反射镜倾斜容限分析及实验

采用微机电系统微镜阵列和倾斜反射镜替代传统傅里叶变换光谱仪的动镜系统,提出一种基于微机电系统微镜阵列的新型傅里叶变换光谱仪.介绍了该光谱仪的工作原理,分析了倾斜反射镜倾斜角度的容限范围,并搭建了实验系统,进行了实验验证.理论推导表明:在近红外区域,反射镜倾角理论最大值为0.52°,光谱分辨率达到8 nm;在可见光区域,反射镜倾角理论最大值0.183°,光谱分辨率达到3 nm.选取可见光源488 nm激光器进行的实验验证结果表明:在倾角容限范围之内,光谱能准确还原;反之,光谱严重失真.最终,采用复色光源进一步实验验证了理论分析的正确性.     

基于分数阶傅里叶变换的光学加密影片

随着通信与网络的快速发展,能够包含大容量信息的影片得到了广泛应用。利用分数阶傅里叶变换的特点,提出了一种全光学加密解密影片的方法。将现有的影片加密密钥从二重变为了四重,显著增加了影片的安全性。通过改变振幅型正弦光栅的作用位置,将影片的加密解密次数由现有的每帧各一次减小为总共一次,优化了算法。仿真结果验证了该方法的有效性。