Modeling of the Temporally and Spatially Modulated Fourier Transform Imaging Spectrometer working in orbit

Temporally and Spatially Modulated Fourier Transform Imaging Spectrometer (TSMFTIS) is a new kind of imaging spectrometer and is applicable in remote sensing. Compared with Temporally Modulated Imaging Interferometer and Spatially Modulated Imaging Interferometer, it employs immovable parts and abandons slit. Based on the analysis of its physical theory, optical principle, data gathering and processing, the mathematical model of the TSMFTIS working in orbit is proposed in this paper. The model is comprised of different function blocks, such as fore-optics, interferometer and so on. For simulation, a big remote sensing image is utilized as ground scene, and a conversion which is similar to color mode conversion from RGB to Lab is made to produce artificial spectra of various ground objects. At last, a validation experiment is performed with real-world spectra of four pieces of colorful cloths by using a commercially available spectrometer.     

时间分辨傅里叶变换红外光谱法研究聚偏氟乙烯的晶变

本文用时间分辨傅里叶变换红外光谱（ＴＲ－ＦＴＩＲＳ）法研究了聚偏氟乙烯（ＰＶＤＦ）的晶型转变，并认５０８ｃｍ＾－１峰的增强和５２８ｃｍ＾－１峰的减弱表示ａ晶型向β晶型的转变，瞬变的初期时间约５ｍｓ，在晶型转变中伴随有“磁滞回线”的非线性效应。     

一种用于衍射光元件优化设计的快速算法的研究

讨论了傅里叶迭代算法对初始相位敏感的缺陷机理,提出用伪随机相位编码作为傅里叶迭代算法初始值的改进算法来克服相位敏感缺陷。改进算法具有加快迭代收敛速度、提高恢复图像强度准确性的优点。将该算法产生的任意期望图样的相位全息图写入纯相位液晶空间光调制器上,在远场成功地再现了期望图样。算法迭代10次可产生衍射效率接近85%的一幅相位全息图。作为一种快速相位恢复算法它在相控阵激光雷达以及光束敏捷偏转等领域有重要意义。     

FTIR光谱方法对比分析少年和老年软骨成分含量

利用傅里叶变换红外(FTIR)光谱方法测量了少年和老年人软骨的红外光谱。由OMNIC 5.2软件计算了软骨中主要有机成分(胶原)和无机成分相关光谱带的积分面积。对代表有机物和无机物的某些谱带面积大小进行了比较。结果表明：软骨中有机成分(酰氨Ⅰ)含量与无机成分(PO3-₄)含量之比少年是老年人的5～7倍;然而脂类含量却有很大的不同, 对脂类(1 747 cm-1)与无机物(PO3-₄)的谱带积分面积进行比较,老年人软骨中脂类含量明显高于少年。作者认为人体随着年龄的增加,全身性的退化在软骨中的总体表现为有机成分(胶原)的减少(而脂类含量却增加)和无机成分(磷酸盐、碳酸盐等)相对的增加,使得软骨骨质变脆,失去过多弹性,耐磨性减低,是进一步容易导致骨病和骨伤的原因。     

A problem of determining a special spatial part of 3D memory kernel in an integro‐differential hyperbolic equation

The inverse problem of determining 2D spatial part of integral member kernel in integro‐differential wave equation is considered. It is supposed that the unknown function is a trigonometric polynomial with respect to the spatial variable y with coefficients continuous with respect to the variable x. Herein, the direct problem is represented by the initial‐boundary value problem for the half‐space x>0 with the zero initial Cauchy data and Neumann boundary condition as Dirac delta function concentrated on the boundary of the domain . Local existence and uniqueness theorem for the solution to the inverse problem is obtained.     

Optical multiresolution analysis with spatial localization

Multiresolution analysis is very useful for characterization of textures, segmentation tasks, and feature enhancement. The development of optical methods to perform such procedures is highly promissory for real-time applications. Usually, the optical implementations of multiresolution analysis consist in the decomposition of the input scene in different frequency bands, obtaining various filtered versions of the scene. However, under certain circumstances it could be useful to provide just one version of the scene where the different filters are applied in different regions. This procedure could be specially interesting for biological and medical applications in situations when the approximate localization of the scale information is known a priori. In this paper we present a fully optical method to perform multiresolution analysis with spatial localization. By means of the proposed technique, the multi-scale analysis is performed at once in a unique image. The experimental set-up consist of a double-pass convergent optical processor. The first stage of the device allows the multiple band decomposition, while the second stage confines the information of each band to different regions of the object and recombines it to achieve the desired operation. Numerical simulations and experimental results, which prove the very good performance of the method, are presented.     

Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix

In this paper, we present a method for constructing multivariate tight framelet packets associated with an arbitrary dilation matrix using unitary extension principles.We also prove how to construct various tight frames for L2(Rd) by replac-ing some mother framelets.     

Zhiber-Shabat方程的多辛几何和多辛隐式格式研究

Zhiber-Shabat方程,描述许多重要的物理现象,是一类重要的非线性方程,有着许多广泛的应用前景.本文给出Zhiber-Shabat方程的多辛几何结构和多辛Fourier拟谱方法.数值算例结果表明多辛离散格式具有较好的长时间的数值稳定性.