Two-dimensional cell parameters measurement of nematic liquid crystal using optical interferometry and Fourier transform fringe analysis technique

We report a method for the measurement of nematic liquid crystal (NLC) cell parameters i.e., switching voltage, birefringence, retardation, dielectric anisotropy, average tilt angle and change in refractive index with applied DC voltage to LC material. The proposed method is based on optical interferometry and Fourier transform fringe analysis technique, in which we obtain 2-dimensional (2D) phase map of the interferograms as a function of applied voltage. Mach-Zehnder interferometer (MZI) was used for the study of cell parameters and interferograms were recorded at different applied DC voltages to NLC cell using CCD camera. From the phase map, 2D-refractive index distribution of the LC cell with applied voltage was reconstructed. Analytical equations are derived based on optical interferometry and then solved to obtain cell parameters. The present method is fast and can give 2D-cell parameters from only two quick interferograms.     

传统光谱变换与连续小波耦合定量反演潮土有机质含量

以北京地区的96个潮土土样的有机质含量为研究对象,以传统光谱变换为参照,研究分析传统光谱变换与连续小波的耦合在估测土壤有机质含量的可行性;首先采用传统光谱变换与连续小波处理土壤光谱数据,然后将处理后的光谱数据与土壤有机质含量进行相关性分析,提取敏感波段,并采用偏最小二乘法构建土壤有机质含量估测模型。结果表明：耦合传统光谱变换技术与连续小波技术可大幅提升光谱对有机质含量的敏感性,其相关系数R2最高可达0.714,这表明耦合传统光谱变换技术与连续小波技术可深入挖掘光谱内的有益信息;与传统光谱变换技术相比,基于耦合传统光谱变换技术与连续小波技术构建的模型精度更高,稳定性更好,其中以微分变换构建的模型最优,其R2=0.772,RMSE=0.223,这表明耦合传统光谱变换技术与连续小波技术可有效压制噪声的负面影响,提升光谱的稳定性。     

傅里叶光谱仪高精度光谱定标研究

为了提高傅里叶光谱仪光谱定标精度,减小光谱定标误差,基于风云四号大气垂直探测仪实验室气体池光谱定标数据,进行傅里叶光谱仪高精度光谱定标算法研究。首先,分析了傅里叶光谱仪的分光原理,并在对参考激光波数漂移、光线离轴、以及有限视场引起光谱波数偏移的原理进行分析后,得出傅里叶光谱仪光谱定标公式及定标参数的计算方法;接着分析了快速傅里叶变换(FFT)的栅栏效应和干涉图截断产生的sinc函数造成的光谱定标误差较大的原因;然后通过对比几种不同的光谱细化方法,选择高效的快速Chirp Z-transform(CZT)进行光谱细化,解决FFT光谱分辨率较低导致光谱误差较大的问题;通过对气体池参考气体在HITRAN数据库中的理论谱线,用Gaussian线型展宽并卷积sinc函数处理后作为光谱定标参考谱线的方式,减小由sinc函数引起的谱线间串扰造成的光谱定标误差,从而提高光谱定标精度。最后,使用实验测得的数据对该光谱定标算法进行验证,对比使用CZT细化光谱前后定标误差,和参考谱线处理前后的定标误差,证明该算法可以有效提高光谱定标精度,最高可将光谱定标误差减小10倍以上。     

激光主动探测中回波信号的小波去噪方法

在分析激光主动探测中回波信号的噪声特性和小波变换去噪原理的基础上，提出了一种基于最大信噪比准则的小渡阈值去噪方法。首先用最大信噪比准则对小波变换系数进行阈值选取，然后采用软阂值方法对小波系数进行量化处理后再重构。仿真结果表明最大信噪比准则小波去噪方法改善信噪比效果十分显著，检测下限达到-16．2dB。证明了该方法在激光主动探测系统回波信号检测中的有效性。     

Demonstration of Inverse Scattering Transform for DNLS Equation

Since the Jost solutions of the DNLS equation does not tend to the free Jost solutioins as |λ| →∞, the usual inverse scattering transform (IST) must be revised. Beside the Kaup and Newell's approach, we propose a simple revision in constructing the equations of IST, where the usual Zakharov-Shabat kern is revised by multiplying λ-2 or λ-1. To justify the revision we show that the Jost solutions obtained do satisfy the pair of compatibility equations.     

Nonlinear image encryption using a fully phase nonzero-order joint transform correlator in the Gyrator domain

A novel nonlinear image encryption scheme based on a fully phase nonzero-order joint transform correlator architecture (JTC) in the Gyrator domain (GD) is proposed. In this encryption scheme, the two non-overlapping data distributions of the input plane of the JTC are fully encoded in phase and this input plane is transformed using the Gyrator transform (GT); the intensity distribution captured in the GD represents a new definition of the joint Gyrator power distribution (JGPD). The JGPD is modified by two nonlinear operations with the purpose of retrieving the encrypted image, with enhancement of the decrypted signal quality and improvement of the overall security. There are three keys used in the encryption scheme, two random phase masks and the rotation angle of the GT, which are all necessary for a proper decryption. Decryption is highly sensitivity to changes of the rotation angle of the GT as well as to little changes in other parameters or keys. The proposed encryption scheme in the GD still preserves the shift-invariance properties originated in the JTC-based encryption in the Fourier domain. The proposed encryption scheme is more resistant to brute force attacks, chosen-plaintext attacks, known-plaintext attacks, and ciphertext-only attacks, as they have been introduced in the cryptanalysis of the JTC-based encryption system. Numerical results are presented and discussed in order to verify and analyze the feasibility and validity of the novel encryption–decryption scheme.     

滑动移除小波分析法在动力学结构突变检验中的应用

标度指数计算的即时性与准确性对相关时间序列的动力学结构突变分析至关重要,然而现有方法在即时性与准确性上一直无法兼顾.将小波分析方法与滑动移除窗口技术相融合,提出一种新的动力学结构突变检测方法——滑动移除小波分析法.通过选取不同的滑动移除窗口,分别对构建的线性、非线性理想时间序列进行动力学结构突变分析,结果表明不论是线性时间序列还是非线性时间序列,滑动移除小波分析能够准确地检测到序列的动力学结构突变点及突变区间,对于滑动移除窗口长度依赖性较小,具有很强的稳定性,而且在计算速度上明显优于滑动移除重标极差和滑动移除方差分析方法,将在大数据处理中具有一定的优势.同时分别对线性、非线性理想时间序列添加高斯白噪声,结果表明滑动移除小波分析具有很强的抗噪能力,能够准确地检测到加噪后序列的突变点.对佛坪站日最高温度实测资料的动力学结构突变的准确检测进一步验证了该方法的有效性.滑动移除小波分析法可为具有相关性的系统动力学结构突变的快速、准确检测提供一种途径.     

New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

The pivotal aim of the present work is to find the numerical solution for fractional Benney–Lin equation by using two efficient methods, called q ‐homotopy analysis transform method and fractional natural decomposition method. The considered equation exemplifies the long waves on the liquid films. Projected methods are distinct with solution procedure and they are modified with different transform algorithms. To illustrate the reliability and applicability of the considered solution procedures we consider eight special cases with different initial conditions. The fractional operator is considered in Caputo sense. The achieved results are drowned through two and three‐dimensional plots for different Brownian motions and classical order. The numerical simulations are presented to ensure the efficiency of considered techniques. The behavior of the obtained results for distinct fractional order is captured in the present framework. The outcomes of the present investigation show that, the considered schemes are efficient and powerful to solve nonlinear differential equations arise in science and technology.     

太阳射电爆发中图像网纹消除的小波NeighShrink方法

绝大多数观测得到的太阳爆发数据中均含有大量的噪声,这给数据的后续处理带来极大的困难。文章分析和研究了NeighShrink阈值函数的特点以及邻域窗口大小的选择依据,在此基础上提出了一种新的小波NeighShrink平方根阈值方法用于图像去噪。首先对太阳爆发灰度图中的每一通道作了规范化处理,在一定程度上去除由于通道间的差异造成的横条纹,然后将预处理后的图像进行小波分解,采用小波Neigh-Shrink平方根阈值函数对其小波系数作阈值处理,最后利用小波反变换恢复图像。实验结果表明该方法可以有效地实现去除干扰、增强有用信息的目的。     

气红联用法研究标准桃金娘油的化学成分

采用毛细管气相色谱-傅里叶变换红外光谱联用技术法(气红联用,GC-FTIR),结合计算机检索对标准桃金娘油化学成分进行分析和鉴定,用气相色谱面积归一化法测定各组分的相对百分含量;经毛细管色谱从标准桃金娘油中分离出12个峰,并且采用FTIR法确认了所含的化合物。标准桃金娘油主要成分为三种单萜,分别为1,8-桉叶素、D-柠檬烯和α-蒎烯,含量分别为46.35%,36.83%和14.70%,三者占总量的97.88%,分析结果与GC-MS分析相一致。由于GC-FTIR分析能确定出经气相色谱分离后的有机物的异构体,故与GC-MS分析相比较,此法具有更广泛的应用价值。该研究可为综合利用开发桃金娘科植物提供科学依据。