Approximate analytical optical transfer function for a wavefront-coded imaging system with two-dimensional rectangularly separable phase masks

Wavefront coding can be used to extend the depth of field of incoherent imaging systems and is a powerful system-level technique. In order to assess the performance of a wavefront-coded imaging system, defocused optical transfer function (OTF) is the metric frequently used. Unfortunately, to the best of our knowledge, among all types of phase masks, it is usually difficult to obtain the analytical OTF except the cubic one. Although numerical computation seems good enough for performance evaluation, the approximate analytical OTF is still indispensable because it can reflect the relationship between mask parameters and system frequency response in a clearer way. Thus, a method is proposed to derive the approximate analytical OTF for two-dimensional rectangularly separable phase masks. The analytical results are well consistent with the direct numerical computations, but the proposed method can be accepted only from engineering point of view and needs rigorous proof in future. (c) 2010 Society of Photo-Optical Instrumentation Engineers. [DOI: 10.1117/1.3485759]

Analytical method of predicating the instabilities of a micro arch-shaped beam under electrostatic loading

An arch-shaped beam with different configurations under electrostatic loading experiences either the direct pull-in instability or the snap-through first and then the pull-in instability. When the pull-in instability occurs, the system collides with the electrode and adheres to it, which usually causes the system failure. When the snap-through instability occurs, the system experiences a discontinuous displacement to flip over without colliding with the electrode. The snap-through instability is an ideal actuation mechanism because of the following reasons: (1) after snap-through the system regains the stability and capability of withstanding further loading; (2) the system flips back when the loading is reduced, i.e. the system can be used repetitively; and (3) when approaching snap-through instability the system effective stiffness reduces toward zero, which leads to a fast flipping-over response. To differentiate these two types of instability responses for an arch-shaped beam is vital for the actuator design. For an arch-shaped beam under electrostatic loading, the nonlinear terms of the mid-plane stretching and the electrostatic loading make the analytical solution extremely difficult if not impossible and the related numerical solution is rather complex. Using the one mode expansion approximation and the truncation of the higher-order terms of the Taylor series, we present an analytical solution here. However, the one mode approximation and the truncation error of the Taylor series can cause serious error in the solution. Therefore, an error-compensating mechanism is also proposed. The analytical results are compared with both the experimental data and the numerical multi-mode analysis. The analytical method presented here offers a simple yet efficient solution approach by retaining good accuracy to analyze the instability of an arch-shaped beam under electrostatic loading.

真菌单宁酶发酵五倍子和有机溶剂中酶法合成没食子酸丙酯的研究

本文报告了丝状真菌单宁酶发酵五倍子及有机溶剂中酶法合成没食子酸丙酯的研究。利用单宁和/或五倍子诱导丝状真菌产生单宁 酶的原理，借助二级发酵程序，对从天然源得到的75株菌进行了生物转化实验研究。选择出既能水解单宁或五倍子成没食子酸，又 能把没食子酸和丙醇合成没食子酸丙酯，而且生物催化活性都较高的1株菌，这株菌经初步鉴定为黑曲霉(Aspergillus niger No.17)。随后对它开展了产酶条件和参数优化实验，得出了最佳培养条件。立足于参数优化实验方案的基础上，经由液体培养发酵 制备单宁酶制剂，并把该酶通过化学手段共价结合到一种新型载体—聚乙烯醇和戊二醛反应生成的缩醛上，制备得到固定化单宁酶 。这种固定化生物催化剂在两种有机介质体系中都具有逆向催化合成没食子酸丙酯的能力。最后建立起来一条有效可行的微生物酶 法制备没食子酸的技术途径，没食子酸产率达到70%。对这种物质进行元素 分析：含C,49.45%;含H,3.63%。它的熔点为237℃～243 ℃，三种溶剂系统的TLC均只给出一个斑点。这些数据都与标准品一致。有机溶剂中酶法合成没食子酸丙酯的技术途径已经建立。 水溶性单宁酶在潜溶剂体系中也能催化上述酯化反应，反应混合物中的PG浓度为16.4mmol/L，制备薄层被用于分离反应混合物所含 的PG，这种产物被红外、质谱及三种溶剂系统的TLC等方法鉴定，确证为目标产物。在这一学位论文的实验研究过程中，还包括一 些生化分析方法的建立和应用，这些方法用于鉴定底物和产物及测定它们的浓度，其内容主要包括TLC定性/半定量分析、元素分析 、质谱、红外等手段的综合运用。本工作为开发我国特有的天然产物资源—五倍子的生物化工加工技术及非水相生物催化技术的开 发，提供了有用的基础数据资料，具有应用基础研究工作的重要性。In this thesis, the studies on the fermentation of Chinese gallotannin by filamentous fungi with tannase activity and enzymatic synthesis of propyl gallate(PG) in organic solvents were described through these biocatalysts. Based on the principles of induction enzyme, the tannase produced from filamentous fungi by adding tannic acid(TA) and/or Chinese gallotannin into media was investigated, and the screening experiments of bioconversion were done with 75 strains by means of a two-stage fermentation procedure. These strains were isolated with the enrichment culture technique from natural sources. Hence we selected one strain (Aspergillus niger No.17) that can not only catalyze the hydrolyses of TA and/or Chinese gallotannin into gallic acid(GA) in the liquid cultures, but also be used to synthesize PG from propanol and GA in the non-aqueous media. At the same time both of its biocatalytical activities were higher. This strain was calssified to be Aspergillus niger by the primary identification. Then optimum conditions for production of the tannase and its parameters were examined. In this way, one set of optimum culture conditions was selected. Making use of the optimum proposal, the tanase was prepared through a liquid fermentation procedure. The enzyme was convalently coupled to a new type of carrier which was made chemically from polyvinyl alcohol(PVA)and glutaraldehyde. The immobilized enzymes were able to synthesize PG reversely in two organic media. Finally, an effective enzymatic technique for production of GA was developed. The yield of GA products was up to 70%。Element analysis for this substance: calce: C, 49.42%; H, 3.56%; found: C, 49.45%, H, 3.63%. Its melting point was 237℃～ 243℃ and TLCs on three solvent systems gave only one spot respectively. These data were identical with theauthentic GA. The enzymatic synthesis of PG in organic solvents was extablished with reverse route of tannase catalytical hydrolysis. Aqueous enzyme perparation also catalyzed above esterification in a buffer system. The PG concentration in the reaction mixture was 16.4mmol/L. The reparative-scale TLC was used to isolate PG from the reaction mixture. This product separated was identified by IR, MS and TLC on three solvent systems. In this study of thesis, some biochemical analytical mehtods were developed and used to identify substrates and products, and to determinate their concentration. These methods, including TLC qualitative/half quantitative analysis, element analysis, MS, IR and so on, were useful, available and performable. This work provided basic data and information for developing the biochemical engineering and bio-processing of Chinese gallotannin-a special natural resource in China and the non-aqueous phase biocatalysis. Thus, this study possesses importance in the applied and basic research work.

Analytical solution of a multidimensional Langevin equation at high friction limits and probability passing over a two-dimensional saddle

The analytical solution of a multidimensional Langevin equation at the overdamping limit is obtained and the probability of particles passing over a two-dimensional saddle point is discussed. These results may break a path for studying further the fusion in superheavy elements synthesis.

低β四分之一波长腔中的束流偏转的分析性研究(英文)；Analytical Study on Beam Steering in Low-β Superconducting Quarter Wave Resonators

目前加速速度范围在0.01c—0.3c的粒子的超导腔主要使用四分之一波长腔型。用于不同加速器上的频率范围在50—240MHz的四分之一波长腔在建造或者预研中。这种腔型的一个不足是其横向电磁成分会造成束流偏转效应,从而导致发射度的增长和束流的溢漏,在强流重离子加速器中这种效应尤为严重。对中国科学院近代物理研究所超导直线加速器中的频率为80.5和161MHz的四分之一波长腔的偏转效应进行了分析,计算结果表明,在四分之一腔体的设计时需要考虑到束流偏转的修正,这通常需要在漂移管端面上削适当大小的倾角来实现。

Analytical potential energy function and spectroscopic parameters for the ground and excited states of NaH

set of energies at different internuclear distances for the ground electronic state and two excited electronic states of NaH molecule have been calculated using valence internally contracted multireference configuration interaction(MRCI) including Davidson correction and three basis sets. Then, a potential energy curve (PEC) for each state was determined by extrapolating MRCI energies to the complete basis sets limit. Based on the PECs, accurate vibrational energy levels and rotational constants were determined. The computational PECs are were fitted to analytical potential energy functions using the Murrell-Sorbie potential function. Then, accurate spectroscopic parameters were calculated. Compared with experimental results, values obtained with the basis set extrapolation yield a potential energy curve that gives accurate vibrational energy levels, rotational constants and spectroscopic parameters for the NaH molecule. (C) 2004 Elsevier B.V. All rights reserved.

Theoretical study on analytical potential function and spectroscopic parameters for CaF molecule

The equilibrium properties and potential energy curves of the ground electronic state of CaF have been calculated using the Brueckner Doubles calculation with a triples contribution added [BD(T)] and the gradient-corrected density functional theory with three-parameter exact exchange mixing (B3LY-P) method, with 6-311 + G*,6-311 + G(2df,2pd) and 6-311 + G(3df,3pd) basis sets. All the computational PECs are fitted to analytical potential energy functions using Murrell-Sorbie, Huxley and Tang-Toennies potentials. Based on this, the spectroscopic parameters are calculated, and then compared with some other theoretical and experimental data. (C) 2004 Elsevier B.V. All rights reserved.

On-line hyphenation of capillary isoelectric focusing and capillary gel electrophoresis by a dialysis interface

An on-line two-dimensional (2D) capillary electrophoresis (CE) system consisting of capillary isoelectric focusing (CIEF) and capillary gel electrophoresis (CGE) was introduced. To validate this 2D system, a dialysis interface was developed by mounting a hollow fiber on a methacrylate resin plate to hyphenate the two CE modes. The two dimensions of capillary shared a cathode fixated into a reservoir in the methacrylate plate; thus, with three electrodes and only one high-voltage source, a 2D CE framework was successfully established. A practical 2D CIEF-CGE experiment was carried out to deal with a target protein, hemoglobin (Hb). After the Hb variants with different isoelectric points (pIs) were focused in various bands in the first-dimension capillary, they were chemically mobilized one after another and fed to the second-dimension capillary for further separation in polyacrylamide gel. During this procedure, a single CIEF band was separated into several peaks due to different molecular weights. The resulting electrophoregrarn is quite different from that of either CIEF or CGE; therefore, more information about the studied Hb sample can be obtained.

Analytical intercomparison results from the 1990 Intergovernmental Oceanographic Commission open-ocean baseline survey for trace metals: Atlantic Ocean

“Dissolved” (< 0.4 μm filtered) and “total dissolvable” (unfiltered) trace element samples were collected using “clean” sampling techniques from four vertical profiles in the eastern Atlantic Ocean on the first IOC Trace Metals Baseline expedition. The analytical results obtained by 9 participating laboratories for Mn, Fe, Co, Ni, Cu, Zn, Cd, Pb, and Se on samples from station 4 in the northeast Atlantic have been evaluated with respect to accuracy and precision (intercomparability). The data variability among the reporting laboratories was expressed as 2 × SD for a given element and depth, and was comparable to the 95% confidence interval reported for the NASS seawater reference standards (representing analytical variability only). The discrepancies between reporting laboratories appear to be due to inaccuracies in standardization (analytical calibration), blank correction, and/or extraction efficiency corrections.Several of the sampling bottles used at this station were not adequately pre-cleaned (anomalous Pb results). The sample filtration process did not appear to have been a source of contamination for either dissolved or particulate trace elements. The trace metal profiles agree in general with previously reported profiles from the Atlantic Ocean. We conclude that the sampling and analytical methods we have employed for this effort, while still in need of improvement, are sufficient for obtaining accurate concentration data on most trace metals in the major water masses of the oceans, and to enable some evaluation of the biogeochemical cycling of the metals.

Anodic Stripping Voltammetry at Bismuth-Coated and Uncoated Carbon Microdisk Electrodes:Application to Trace Metals Analysis in Flood Samples

This article reports on the performance of a bismuth-coated carbon microdisk electrode (BiFμE) for the determination of trace heavy metals by anodic stripping voltammetry (ASV). The BiFμE was prepared by electrodeposition of a metallic bismuth film onto the microdisk, by applying an in-situ electroplating procedure. To test the performance of the BiFμE, ASV measurements were performed on synthetic solutions containing Cd2+, Pb2+, and Cu2+ as target ions. The results indicated that cadmium and lead gave well-defined ASV peaks with no interference, and their quantitative determination could be carried out straightforwardly. In particular, linear calibration curves over the range 5.0 x 10-8-1.0 x 10-6M for both ions, and detection limits of 7.8 and 2.9 nM, for cadmium and lead, respectively, after applying a 60 sec preconcentration step, were obtained. The reproducibility was also satisfactory, the relative standard deviation (RSD) being within 2.5% for both ions. Copper, instead, gave an ASV response that. in most experimental conditions, overlapped with that of bismuth. This circumstance made the determination of copper at the BiFμE difficult. Since the latter element could be detected reliably at the uncoated carbon microdisk electrode (CμE), both BiFμE and CμE were employed, respectively, for the determination of lead and copper ions in drinking water, wine, and tomato sauce.