A new analytical edge spread function fitting model for modulation transfer function measurement

We propose a new analytical edge spread function (ESF) fitting model to measure the modulation transfer function (MTF).The ESF data obtained from a slanted-edge image are fitted to our model through the non-linear least squares (NLLSQ) method.The differentiation of the ESF yields the line spread function (LSF),the Fourier transform of which gives the profile of two-dimensional MTF.Compared with the previous methods,the MTF estimate determined by our method conforms more closely to the reference.A practical application of our MTF measurement in degraded image restoration also validates the accuracy of our model.     

4-[(E)-2-(3, 4-二甲氧基苯基)乙烯基]苯氧基乙酸乙酯的合成及其NMR研究

以对硝基甲苯、3, 4-二甲氧基苯甲醛为起始原料,经过缩合,还原,重氮化水解,亲核取代反应,最终合成了新的化合物4-[(E)-2-(3, 4-二甲氧基苯基)乙烯基]苯氧基乙酸乙酯,用¹H 和¹³C NMR及多种二维核磁共振谱确定了该化合物的结构,完成了¹H 和¹³C NMR的归属,给出了分子中各氢,碳原子的准确化学位移.     

基于最小二乘支持向量机回归的背景偏振光谱二向反射分布建模分析

详细分析了土壤背景偏振光谱二向反射分布函数与探测角及探测方位角之间关系.提出了基于最小二乘支持向量机回归的偏振光谱二向反射分布函数建模,将有限实验观测条件下测量得到的少数偏振光谱二向反射分布函数扩展到2π空间范围内任意入射及观测条件.通过模型结果和实验结果分析比较,表明该模型能很好地满足准确度要求.     

不同类型细胞穿膜肽二级结构特征研究

细胞穿膜肽是一类能以受体依赖或非受体依赖方式介导胞吞作用的小分子短肽,能够携带不同分子穿过细胞膜,这一特性使细胞穿膜肽成为一种有效的运输载体,为药物靶向治疗提供了新希望.本文从生物信息角度针对不同长度区间、运输不同类型分子细胞穿膜肽之间的异同二级结构特征进行了系统研究,同时进一步对不同穿膜方式对应的细胞穿膜肽二级结构特征进行了对比研究,结果表明不同类型细胞穿膜肽之间在二级结构组成上具有不同程度差异特征,为今后揭示细胞穿膜肽相关分子结构机制奠定可靠的理论基础.     

Resonance Raman Study of Aggregated Meso-tetra(4-pyridinium) porphyrin Diacid

研究了近激子吸收带激发下四-(4-吡啶基)卟啉二酸(H₈TPyP⁶⁺)聚集体的共振拉曼光谱．测量了H₈TPyP⁶⁺单体和聚集体的紫外可见吸收谱和共振光散射光谱．在氘代位移的基础上结合相关体系振动光谱研究,对测得的H₈TPyP⁶⁺)单体和聚集体的拉曼谱带进行了指认．聚集体的形成导致H₈TPyP⁶⁺的卟啉环CC/CN面内伸缩振动向低波数方向位移2～6 cm^-1,而卟啉环鞍形面外振动带向高波数方向位移12cm^-1．基于拉曼谱带的强度和频率变化分析了聚集引起的H₈TPyP⁶⁺分子内结构变化和分子间氢键作用     

二维铁电材料α-In2Se3 表面分子束外延生长Pb 纳米岛的STM 研究

铁电材料拥有自发电极化, 不同的极化方向会对异质结的电子结构产生可逆的和非易失性的影响. 本工作采用分子束外延技术在二维铁电材料α-In2Se3 衬底上成功制备了 Pb 纳米岛构建 Pb/α-In2Se3 超导铁电异质结,并通过扫描隧道显微镜表征了其表面原子结构与电子结构. 进一步的扫描隧道谱测量显示不同层厚 Pb 岛的量子阱态消失, 并且我们在4.5 K 的温度下没有观察到超导能隙, 表明铁电衬底会影响 Pb 岛的电子结构, 甚至其超导特性. 这些发现为理解铁电衬底对超导性的影响提供了参考, 并为调控低维量子材料中的电子结构及超导性提供了新的思路.     

STABLE SOLUTION OF TIME DOMAIN INTEGRAL EQUATION METHODS USING QUADRATIC B-SPLINE TEMPORAL BASIS FUNCTIONS

This paper is concerned with stable solutions of time domain integral equation （TDIE） methods for transient scattering problems with 3D conducting objects. We use the quadratic B-spline function as temporal basis functions, which permits both the induced currents and induced charges to be properly approximated in terms of completeness. Because the B-spline function has the least support width among all polynomial basis functions of the same order, the resulting system matrices seem to be the sparsest. The TDIE formula-tions using induced electric polarizations as unknown function are adopted and justified. Numerical results demonstrate that the proposed approach is accurate and efficient, and no late-time instability is observed.     

A NUMERICALLY STABLE BLOCK MODIFIED GRAM-SCHMIDT ALGORITHM FOR SOLVING STIFF WEIGHTED LEAST SQUARES PROBLEMS

Recently, Wei in proved that perturbed stiff weighted pseudoinverses and stiff weighted least squares problems are stable, if and only if the original and perturbed coefficient matrices A and A^- satisfy several row rank preservation conditions. According to these conditions, in this paper we show that in general, ordinary modified Gram-Schmidt with column pivoting is not numerically stable for solving the stiff weighted least squares problem. We then propose a row block modified Gram-Schmidt algorithm with column pivoting, and show that with appropriately chosen tolerance, this algorithm can correctly determine the numerical ranks of these row partitioned sub-matrices, and the computed QR factor R^- contains small roundoff error which is row stable. Several numerical experiments are also provided to compare the results of the ordinary Modified Gram-Schmidt algorithm with column pivoting and the row block Modified Gram-Schmidt algorithm with column pivoting.     

求解二维三温辐射热传导方程组的一种网格自适应方法

在求解二维三温辐射热传导方程组的过程中,设计了一类新的基于Hessian矩阵的网格自适应算法.数值实验结果表明,与现在流行的基于一阶导数或通量的网格自适应技术相比,该算法能够大幅改善系统的能量守恒误差,并具有较高的整体计算效率.     

含缺陷的二维CuI光电性质的第一性原理计算

基于密度泛函理论计算了本征缺陷时二维CuI的光电特性,分析了能带结构以及复介电函数.本征2D CuI的带隙值为1.56 eV,为直接带隙半导体;I和Cu缺陷的引入使2D CuI的带隙值小,Cu缺陷的引入并未改变2D CuI的带隙方式,而I缺陷的引入使2D CuI变为间接带隙半导体.光学性质计算结果表明本征2D CuI的静介电函数为2.47, I缺陷的引入对2D CuI的静介电函数影响较小,但是在Cu缺陷时2D CuI的静介电函数急剧增大.