Multiple optical line traps using a single phase-only rectangular ridge

An optical line trap has the ability to simultaneously trap and align microparticles in line formation due to its intensity profile. In this paper, we demonstrate a straightforward means to generate multiple optical line traps by simply placing a phase-only rectangular ridge in the path of a laser beam. By carefully positioning the rectangular ridge, we were able to control the separation between the optical trapping lines, which were then used to create multiple line formations of trapped particles. The simplicity of the proposed technique lends itself to the realization of a highly efficient optical line trap converter for easy modification of existing optical microscopes.     

对流方程的两个高精度差分格式

This paper gives two patterns of high exact difference in solving convection equation. The er-ror of cut section is to O( △t^2 △x^4 ).     

Utilisation des alcoxytrialkylaluminates en synthese asymetrique: Synthese de l'acide hydroxy-2, methyl-2 butanoique enantiomeriquement enrichi en R ou S

The reaction of LiAlEt₃OR★ with (?)-menthyl pyruvate (R★OH = (?)-<em>Nem>-methylephedrine) and with (+)-menthyl pyruvate (R★OH = (+)-<em>Nem>-methylephedrine) in hexane/ether as solvent produces the corresponding 2-hydroxy-2-methylbutanoic acids enriched in <em>Sem>- or <em>Rem>-enantiomers, respectively, with an enantiomeric excess close to 60%.     

Dispersion forces effects in the instability of polymer films

We have investigated the dispersion forces effects in the instability of polystyrene films within the framework of the frequency-dependent theory. The calculated results of excess free energy, wavelength and growth rate show that the stability of the film can be tuned by the properties and the variation of the thickness of the coating. As the film thickness increases, the retardation effects can be significant and the full results of free energy must be used to deal with the instability of the polystyrene films.     

Investigation of Dynamic Behavior in 1D Non-uniform Granular System

We present a non-uniform granular system in one-dimensional case, whose granularity distribution has the fractal characteristic. The particles are subject to inelastic mutual collisions and obey Langevin equation between collisions. By Monte Carlo simulation we study the dynamic actions of the system. Far from the equilibrium, i.e., τ 〉〉 τe, the results of simulation indicate that the inhomogeneity of the system and the inelasticity of the particles have great influences on the dynamic properties of the system, and correspondingly the influence of the inhomogeneity is more significant.     

Patent tactics in molecular diversity: Things that get around,come around (Or: There are always exceptions to the rule)

Certain activities which would constitute infringement of a U.S. patent can come within a statutory exemption when the activity is carried out to obtain FDA approval. Exemptions to infringement provided by 35 U.S.C. &sect;271(e)(1) are discussed along with recent cases interpreting this statute. The evolution of the statute in providing an exemption to activities necessary to obtain FDA marketing approval is described to provide background, legislative intent and show a comparative of the law before and after 1984 when 271(e)(1) was enacted. By analyzing recent cases, criteria for qualifying an activity as exempt from infringement are described – as are activities that do not qualify for the 271(e)(1) exemption. Overall there appears to be a trend to more broadly allowing for activities to qualify as exempt from infringement. This trend may affect the value of patents and determine which technologies a company will seek patent protection on.     

Self-focusing of electromagnetic waves in a degenerate electron-hole plasma

The free carrier nonlinear dielectric constant of a degenerate electron-hole plasma (e.g., Ge) in the presence of a Gaussian electromagnetic beam has been studied by a kinetic treatment. The redistribution of carriers (electrons and holes) is the source of nonlinearity and is effective in causing the self-focusing of the beam. The rise in carrier temperature due to the wave field is almost unaffected by the degeneracy, whereas the nonlinearity is considerably affected by it. The increase of degeneracy (by increasing the equilibrium carrier concentration at the fixed lattice temperature) increases the nonlinear dielectric constant. Hence self-focusing is enhanced by degeneracy. This work was supported by NSF (USA) and CSIR (India).     

PPLN waveguide for quantum communication

We report on energy-time and time-bin entangled photon-pair sources based on a periodically poled lithium niobate (PPLN) waveguide. Degenerate twin photons at 1 314 nm wavelength are created by spontaneous parametric down-conversion and coupled into standard telecom fibers. Our PPLN waveguide features a very high conversion efficiency of about 10^-6, roughly 4 orders of magnitude more than that obtained employing bulk crystals [#!Tanzilli01a!#]. Even if using low power laser diodes, this engenders a significant probability for creating two pairs at a time - an important advantage for some quantum communication protocols. We point out a simple means to characterize the pair creation probability in case of a pulsed pump. To investigate the quality of the entangled states, we perform photon-pair interference experiments, leading to visibilities of 97% for the case of energy-time entanglement and of 84% for the case of time-bin entanglement. Although the last figure must still be improved, these tests demonstrate the high potential of PPLN waveguide based sources to become a key element for future quantum communication schemes. Received 13 July 2001     

双模问题rad~t(-,-)与拟遗传代数

设 Ｂ是 Ｋｒｕｌｌ－ｓｃｈｍｉｄｔ范畴 Ｋ上的一个上三角双模，Ｂｒｕｓｔｌｅ和 Ｈｉｌｌｅ证明了Ｂ的矩阵范畴ｍａｔＢ的投射生成子Ｐ的自同态代数的反代数Ａ是拟遗传代数，而且代数Ａ的△－好模范畴与ｍａｔＢ等价．本文把这些结果推广到由Ｃｒａｗｌｅｙ-Ｂｏｅｖｅｙ给出的具有非零导子的双模上，并在此基础上着重讨论了遗传代数 的投射模范畴Ｐｒｏｊ上的双模ｒａｄｔ（－，－），刻画了它所对应的拟遗传代数的Ｇａｂｒｉｅｌ箭图与关系，以及它们的特征模和Ｒｉｎｇｅｌ对偶．     

五阶变系数模型方程新的Jacobi椭圆函数解

我们给出了一种统一的Jacobi椭圆函数方法来构造非线性偏微分方程精确行波解的新方法．借助于Mathematica，我们获得了五阶变系数模型方程的24种Jacobi椭圆函数解．