Silver Nanostructures on Graphene Oxide as the Substrate for Surface-Enhanced Raman Scattering (SERS)

Nanosized surface-enhanced Raman scattering (SERS) substrates fabricated by the controlled growth of metal nanostructures on water-dispersed two-dimensional nanomaterials can open a new avenue for SERS analysis of liquid samples in biological fields. In this work, regular and uniform Ag nanostructures were grown on the surface of graphene oxide (GO) through a microwave-assisted hydrothermal method. Polyamidoamine (PAMAM) dendrimers were assembled on the surface of GO to form GO/PAMAM templates for growing Ag nanostructures, which are primarily comprised of Ag dimers and trimers. The prepared Ag/GO nanocomposites are highly dispersed and stable in aqueous solution and may be used as substrates for enhanced Raman detection of rhodamine 6?G (R6G) in aqueous solution. This special substrate provides high-performance SERS and suppresses R6G fluorescence in aqueous solution and is promising as a nanosized material for the enhanced Raman detection of liquid samples in biological diagnostics.     

Untersuchungen zur Genauigkeit quantitativer Messungen mit einem Fouriertransform-Infrarotspektrometer

Zusammenfassung Die Genauigkeit von Ordinatenwerten, die mit einem Fouriertransform-Spektrometer (Digilab FTS-14) erhalten wurden, werden in ihrer Ab-hängigkeit von verschiedenen Parametern diskutiert. Die Ergebnisse werden zur Abschätzung der Meßgenauigkeit quantitativer Messungen benutzt, die mit Werten verglichen werden, die für die Benzolbande bei 3040 cm^–1direkt gemessen wurden.Ich danke dem Institutsdirektor Prof. Dr. H.-H. Perkampus für sein Interesse an der Arbeit und die zur Verfügung gestellten Institutsmittel, sowie dem Verband der Chemischen Industrie für finanzielle Unterstützung.     

Robust barrier option pricing by frame projection under exponential Lévy dynamics

We present an efficient method for robustly pricing discretely monitored barrier and occupation time derivatives under exponential Lévy models. This includes ordinary barrier options, as well as (resetting) Parisian options, delayed barrier options (also known as cumulative Parisian or Parasian options), fader options and step options (soft-barriers), all with single and double barriers, which have yet to be priced with more general Lévy processes, including KoBoL (CGMY), Merton’s jump diffusion and NIG. The method’s efficiency is derived in part from the use of frame-projected transition densities, which transform the problem into the Fourier domain and accelerate the convergence of intermediate expectations. Moreover, these expectations are approximated by Toeplitz matrix-vector multiplications, resulting in a fast implementation. We devise an augmentation approach that contributes to the method’s robustness, adding protection against mis-specifying a proper truncation support of the transition density. Theoretical convergence is verified by a series of numerical experiments which demonstrate the method’s efficiency and accuracy.     

Poisson和公式在分数阶热方程中的应用

本文利用Poisson和公式,证明了如下分数阶热方程(D_t~αlu=D_x~2u u(x1 0)=f(x))当f分别为周期函数和f∈S(■)时(速降函数空间),它们的热核满足关系H_t~α(x)=∑n=-∞H_t~α(x+n)进一步,我们把结论推广到更一般的分数阶微分方程和高维情形     

广义参量Wigner分布函数:一种新的信号双域表示方法

本文基于分数傅里叶变换的概念,提出了由三个广义参量p1、p2和p3所表征的Wigner分布函数-广义参量Wigner分布函数,然后对其性质进行了讨论,并指出广义参量Wigner分布函数也属于一般的Cohen双线性类,而部分相干光场的互谱密度、传统的Wigner分布函数以及分数Wigner分布函数都可以作为广义参量Wigner分布函数在其广义参量取特殊值时的特例而得到,表明广义参量Wigner分布函数具有比传统的Wigner分布函数更强的信号表征能力.