电磁波在芯层为负折射率媒质的介质波导中的传播

分析了电磁波在正负折射率媒质界面、两种负折射率媒质界面处的传播特性,并对负折射率媒质为芯层(波导层)的介质波导的传播规律进行了探讨.其结论对于丰富波导理论和进一步研究电磁波在负折射率媒质中的传播特性及微波毫米波相关器件的设计有着重要的意义.     

表面活性剂及其复配体系对漆酶活性和稳定性的影响

本文研究了5种表面活性剂Brij-35、Tween-80、TX-100、AOT和甜菜碱对漆酶活性和稳定性的影响,探讨漆酶最适宜的反应温度和pH值,并通过Brij-35与其他4种表面活性剂组建不同类型的复配体系,分析在表面活性剂复配体系中漆酶活性与稳定性的变化情况。结果表明,不同类型和浓度的表面活性剂对漆酶催化性能的影响各异,影响方式主要取决于其头部基团的离子性质;加入表面活性剂后,漆酶的最佳反应温度(40℃)没有改变,最佳pH值(3.0)基本没变,但添加AOT的漆酶最佳pH值迁移到3.5;在合适条件下,表面活性剂可以提高漆酶的活性和稳定性,在4种复配体系中,非离子型与非离子型复配的表面活性剂(Brij-35/Tween-80,Brij-35/TX-100)最有利于漆酶的稳定性。     

Some exact solutions of generalized Zakharov system

In this paper, we seek exact solutions of generalized Zakharov system. We use extended trial equation method to obtain exact solutions of this system. Consequently, we obtain some exact solutions including soliton solutions, rational, Jacobi elliptic and hyperbolic function solutions of this system by using extended trial equation method.     

Aqueous Aza-Michael Reaction of Conjugated Alkenes: Toward Spermine

An aqueous aza-Michael reaction is efficiently achieved with excellent conversions without any additives. The method works very well on a molar scale with selectively for aliphatic amines. An intermediate for spermine is also made by this green process.     

一类多孔介质型扩散互惠模型的共存态和渐近性

研究了一类具有多孔介质型扩散的3种群互惠模型Dirichlet边值问题.在适当的条件下,证明了该时变问题存在唯一有界整体解,且除了平凡解和半平凡解之外,相应的平衡态问题还存在正的最大解和最小解.此外,该时变解在一些初值函数下收敛到最大平衡解,而在另一些初值函数下收敛到最小平衡解.这种收敛性对反应函数的任意系数都成立.该结果意味着带多孔介质型扩散的互惠模型的动力学性态不同于带常数扩散项的.     

Effective medium representation and complex modes in 3D periodic metamaterials made of cubic resonators with large permittivity at mid-infrared frequencies

We review some of the techniques that lead to the effective medium representation of a three-dimensional (3D) periodic metamaterial. We consider a 3D lattice of lead telluride cubic resonators at mid-infrared (MIR) frequencies. Each cubic resonator is modeled with both an electric and a magnetic dipole, through a method called the dual dipole approximation. The electric and magnetic polarizabilities of a cubic resonator are computed via full-wave simulations by mapping the resonator's scattered field under electric/magnetic excitation only to the field radiated by an equivalent electric/magnetic dipole. We then analyze the allowed modes in the lattice, with transverse polarization and complex wavenumber, highlighting the attenuation that each mode experiences after one free space wavelength. We observe the presence of two modes with low attenuation constant, dominant in different frequency ranges, able to propagate inside the lattice: this allows the treatment of the metamaterial as a homogeneous material with effective parameters, evaluated by using various techniques. We then show that the metamaterial under analysis allows for the generation of artificial magnetism (i.e., relative effective permeability different than unity, including negative permeability with low losses) at MIR frequencies.     

Dislocations hétéro-interfaciales vis perçant une plaquette mince

A specimen observed in high-resolution transmission electron microscopy is electron transparent and its thickness is often less than about 10 nm. When it contains a linear defect like a screw dislocation, the obtained image can exhibit more or less important perturbations due to elastic relaxation nearby both free surfaces. Therefore, the theoretical interpretation of an image should include this relaxation in the calculation model. In the present work, it is evaluated for screw misfit dislocations piercing normally an elastically heterogeneous bicristalline plate (thickness 2h) from the following assumptions: there is no applied force on the thin plate and any surface stress related to a possible nanometric structure along the two free surfaces is neglected. The solution is found from an appropriate combination of known elastic fields in an infinite medium, which enables total stresses applying on two planes distant of 2h to be cancelled. This solution generalizes for the first time that of Eshelby and Stroh (1951), who consider an isolated screw dislocation normal to a homogeneous plate.     

Homogenization of parabolic problem with nonlinear transmission condition

In this paper, we investigate the periodic homogenization of nonlinear parabolic equation arising from heat exchange in composite material problems. This problem, defined in periodical domain, is nonlinear at the interface. This nonlinearity models the heat radiation on the interface, which constitutes the transmission boundary conditions, between the two components of the material. The main challenge is, first, to show the well-posedness of the microscopic problem using the topological degree of Leray–Schauder tools. Then, we apply the two scale convergence to identify the equivalent macroscopic model using homogenization techniques. Finally, in order to confirm the efficiency of the homogenization process, we present some numerical results obtained via finite element approximation.     

Resorcinarene supramolecular organocatalyst for functionalized 1-tetralone synthesis in aqueous medium

An efficient, straightforward and environmentally benign process has been developed for the synthesis of fluorenone and 1-tetralone derivatives using cyclic 1,3-dione, malononitrile and dialkylacetylenedicarboxylate as starting materials in aqueous medium. The reaction is favoured in presence of resorcin[4]arene which is effective as a reusable organocatalyst. The catalyst has been easily synthesized and characterized by ¹H, ¹³C NMR, IR, XRD and HRMS analyses. Resorcin[4]arene afforded the resulted products in a shorter time and in good yields. The recyclability of the catalyst was established up to 6th cycle by FT-IR and SEM images.