TiO_2纳米多孔薄膜漏模光波导共振传感器研究小分子的光谱灵敏度

在玻璃基片上溅射约50nm厚的金膜,在掺有P123聚合物的TiO2胶体溶液中浸渍提拉基片,经高温热处理后获得厚度约为210nm的TiO2纳米多孔薄膜。以此双层膜为漏模光波导芯片,并结合卤钨灯光源、CCD光谱仪、棱镜耦合器以及流动测试槽构建了基于Kretschmann结构的光谱测量式漏模光波导共振传感器。以非吸附型蔗糖水溶液为折射率液体,测试了传感器的折射率灵敏度。结果表明,在给定溶液折射率范围(1.3330～1.3557)内,漏模光波导共振波长随着折射率的升高而线形增大。以离子型表面活性剂和溴百里酚蓝为小分子吸附质,考察了传感器对小分子吸附的响应特性。结果表明,与只有一层金膜的SPR传感器相比,多孔薄膜漏模传感器对小分子吸附质的灵敏度大幅提高,这由于小分子在TiO2多孔薄膜导波层内的大量吸附。     

聚乙烯塑料包装材料中4种抗氧化剂向脂肪食品模拟物迁移的研究

本文基于超高效液相色谱建立了一种脂肪食品模拟物异辛烷中抗氧化剂叔丁基对羟基茴香醚(BHA)、2,6-二叔丁基对甲酚(BHT)、四[甲基-β-(3,5-二叔丁基-4-羟基苯基)丙酸酯]季戊四醇酯(Irganox1010)以及β-(4-羟基-3,5-二叔丁基苯基)丙酸正十八酯(Irganox1076)的提取检测方法,加标回收率在78.0%～108.7%之间,相对标准偏差(RSD)在4.0%～13.7%之间。研究了聚乙烯(PE)膜中抗氧化剂向异辛烷的迁移,讨论了温度及时间对迁移的影响,并根据迁移数据进行了初步的数学模型的建立,对实验值与数值模拟结果计算值作了对比分析。     

Generalized Green Correspondence of Graded Modules

The author studies the Green correspondence and quasi-Green correspondence for indecomposable modules over strongly graded rings. The motivation is to investigate the influence of induction and restriction processes on indecomposability of graded modules.     

PROPERTIES OF SOME SETS OF SEQUENCES DEFINED BY A MODULUS FUNCTION

In this article, the author introduces the generalized difference paranormed sequence spaces c （△v^m, f, p, q, s）, c0 （△v^m, f, p, q, s）, and l∞ （△v^m, f, p, q, s） defined over a seminormed sequence space （X, q）. The author also studies their properties like completeness, solidity, symmetricitv, etc.     

Improved Hörmander’s theorem and new methods for oscillatory integral operators

This paper proves a theorem on the decay rate of the oscillatory integral operator with a degenerate C^∞ phase function, thus improving a classical theorem of HSrmander. The proof invokes two new methods to resolve the singularity of such kind of operators： a delicate method to decompose the operator and balance the L^2 norm estimates; and a method for resolution of singularity of the convolution type. The operator is decomposed into four major pieces instead of infinite dyadic pieces, which reveals that Cotlar＇s Lemma is not essential for the L^2 estimate of the operator. In the end the conclusion is further improved from the degenerate C^∞ phase function to the degenerate C^4 phase function.     

SOME ENDPOINT ESTIMATES FOR COMMUTATORS OF θ-TYPE CALDERON-ZYGMUND OPERATORS

In this note, the authors prove that the commutator generated by θ-type Calderón-Zygmund operator T and a Lipschitz function is bounded from L ^p (R ⁿ ) into (R ⁿ ) and also maps from (R ⁿ ) into BMO (R ⁿ ). Supported by NSFC(10571014), NSFC(10571156), the Doctor Foundation of Jxnu (2443), the Natural Science Foundation of Jiangxi province(2008GZS0051).     

求解带Toeplitz矩阵的线性互补问题的一类预处理模系矩阵分裂迭代法

针对系数矩阵为对称正定Toeplitz矩阵的线性互补问题,本文提出了一类预处理模系矩阵分裂迭代方法.先通过变量替换将线性互补问题转化为一类非线性方程组,然后选取Strang或T.Chan循环矩阵作为预优矩阵,利用共轭梯度法进行求解.我们分析了该方法的收敛性.数值实验表明,该方法是高效可行的.     

仿射李代数的水平零的Whittaker模

对任意的仿射李代数 \tsg, 作者构造了一类水平为零的 imaginary Whittaker \tsg{-}模.同时证明了这类模在某些给定条件下是单的.     

λ-Kantorovich算子的逼近性质

首先在无穷空间上构造了一类新的λ-Szász-Kantorovich算子,通过分析计算得到了该类算子矩的估计及Korovkin型逼近性质;其次,利用连续模和K-泛函的等价关系给出了收敛速度的刻画;最后,借助于Holder不等式建立了Lipschitz连续函数的收敛定理.     

一类两相模型的导数估计

将一类两相模型作了一个推广．将模型中的Laplace算子换成P—Laplace算子后,研究了方程的解,得出解的一个导数估计．