NONDESTRUCTIVE BAND—GAP PROFILE DETERMINATION OF HgCdTe LPE CROWN LAYERS

ＩｎｔｒｏｄｕｃｔｉｏｎＭｏｓｔｏｆｍｏｄｅｒｎＨｇ1-ｘＣｄｘＴｅｔｅｒｎａｒｙｃｏｍｐｏｕｎｄＩＲｐｈｏｔｏｄｅｔｅｃｔｏｒｓａｒｅｍａｎｕｆａｃｔｕｒｅｄｆｒｏｍＬＰＥｆｉｌｍｓｇｒｏｗｎｏｎＣｄＴｅａｎｄＣｄＺｎＴｅｓｕｂｓｔｒａｔｅｓ[1～ 4 ] .Ｃｏｍｐｏ ｓｉｔｉｏｎａｌｄｅｐｔｈｎｏｎｕｎｉｆｏｒｍｉｔｙｓｅｅｍｓｔｏｂｅａｎｉｎｈｅｒｅｎｔｆｅａｔｕｒｅｏｆｔｈｅｓｅｆｉｌｍｓ[5,6 ] .Ｉｔｃａｕｓｅｓｔｈｅｖａｒｉａｔｉｏｎｓｏｆｂａｎｄ ｇａｐｗｉｔｈｔｈｅｄｅｐｔｈ ,ｔｈｕｓａｆｆ…     

Spectral Gap for Stable Process on Convex Planar Double Symmetric Domains

We study the semigroup of the symmetric α-stable process in bounded domains in R ². We obtain a variational formula for the spectral gap, i.e. the difference between two first eigenvalues of the generator of this semigroup. This variational formula allows us to obtain lower bound estimates of the spectral gap for convex planar domains which are symmetric with respect to both coordinate axes. For rectangles, using “midconcavity” of the first eigenfunction (Bañuelos et al., Potential Anal. 24(3): 205–221, 2006), we obtain sharp upper and lower bound estimates of the spectral gap.     

Gap functions and global error bounds for differential variational–hemivariational inequalities

This paper concerns with the study of a differential variational–hemivariational inequality (DVHVI, for short) in infinite-dimensional Banach spaces. We first introduce the new concept of gap functions for the variational control system of (DVHVI). Then, we consider two kinds of gap functions which are regularized gap function and Moreau–Yosida regularized gap function, respectively, and examine the relevant properties of the gap functions. Moreover, two global error bounds which depend implicitly on the regularized gap function and the Moreau–Yosida regularized gap function, accordingly, are obtained. Finally, in order to illustrate the applicability of the theoretical results, we investigate a coupled dynamic system which is formulated by a nonlinear reaction–diffusion equation described by a time-dependent nonsmooth semipermeability problem.     

一种可以反射p波的土层结构

本文将光子晶体的概念应用于土层结构设计，并利用传输矩阵法计算了p波在土层结构中的传播特性。结果表明，这种土层结构可以全部反射特定频率范围内入射的p波，从而可以减少p波对地上建筑的破坏。此外，还考察了土层的物理特性对反射频带的影响。     

Structures and electronic states of halogen-terminated graphene nano-flakes

Halogen-functionalized graphenes are utilized as electronic devices and energy materials. In the present paper, the effects of halogen-termination of graphene edge on the structures and electronic states of graphene flakes have been investigated by means of density functional theory (DFT) method. It was found that the ionization potential (Ip) and electron affinity of graphene (EA) are blue-shifted by the halogen termination, while the excitation energy is red-shifted. The drastic change showed a possibility as electronic devices such as field-effect transistors. The change of electronic states caused by the halogen termination of graphene edge was discussed on the basis of the theoretical results.     

A Novel BODIPY‐Based Low‐Band‐Gap Small‐Molecule Acceptor for Efficient Non‐fullerene Polymer Solar Cells

We report herein an efficient A¹‐C≡C‐A²‐C≡C‐A¹ type small‐molecule 4,4'‐difluoro‐4‐bora‐3a,4a‐diaza‐s‐ indacene (BODIPY) acceptor (A¹=BODIPY and A²=diketopyrrolopyrrole (DPP)) by following the A‐to‐A excited electron delocalization via the BODIPY meso ‐position, the inherent directionality for the excited electron delocalization. The lowest unoccupied molecular orbital (LUMO) delocalizes across over whole the two flanking A¹ and the central A², and the highest occupied molecular orbital (HOMO) localizes dominantly on the ‐C≡C‐DPP‐C≡C‐ segment. The excited electron upon light excitation of the DPP segment delocalizes over both the BODIPY and DPP segments. The acceptor in chloroform shows an unprecedented plateau‐like broad absorption between 550 and 700 nm with a large FWHM value of 195 nm. Upon transition into solid film, the acceptor shows absorption in the whole near ultraviolet‐visible‐near infrared wavelength region (300‐830 nm) with a low band gap of 1.5 eV and a maximum absorptivity of 0.85×10⁵ cm^‐1. Introduction of the ethynyl spacer between the A¹ and A² and the close BODIPY‐to‐DPP LUMO energy levels are crucial for the excited π−electron delocalization across over whole the conjugation backbone. A power conversion efficiency of 6.60% was obtained from the ternary non‐fullerene solar cell with PTB7‐Th:p ‐DTS(FBTTh₂)₂ (0.5 : 0.5) as the donor materials, which is the highest value among the non‐fullerene organic solar cells with BODIPY as the electron acceptor material.     

A unifying theory of exactness of linear penalty functions II: parametric penalty functions

In this article, we develop a general theory of exact parametric penalty functions for constrained optimization problems. The main advantage of the method of parametric penalty functions is the fact that a parametric penalty function can be both smooth and exact unlike the standard (i.e. non-parametric) exact penalty functions that are always nonsmooth. We obtain several necessary and/or sufficient conditions for the exactness of parametric penalty functions, and for the zero duality gap property to hold true for these functions. We also prove some convergence results for the method of parametric penalty functions, and derive necessary and sufficient conditions for a parametric penalty function to not have any stationary points outside the set of feasible points of the constrained optimization problem under consideration. In the second part of the paper, we apply the general theory of exact parametric penalty functions to a class of parametric penalty functions introduced by Huyer and Neumaier, and to smoothing approximations of nonsmooth exact penalty functions. The general approach adopted in this article allowed us to unify and significantly sharpen many existing results on parametric penalty functions.     

预紧扁挤压筒内孔变形和缝隙度Km的影响分析

应用ANSYS有限元分析软件,对受预紧作用的两层扁挤压筒进行了数值模拟。研究了内腔位移分布情况和内孔变形规律,分段对内孔位移做了多项式曲线拟合,并用物理实验加以对比验证。本文还对三层扁挤压筒缝隙度Km对内孔长短轴变形的影响作了分析,拟合出一定条件下内孔位移与Km的多项式插值函数表达式,得出Km的取值范围。为扁挤压筒修模、装配和结构优化提供了依据。     

Inertial manifolds for nonautomous infinite dimensional dynamical systems

In this paper, the long time behavior of nonautonomous infinite dimensional dynamical systems is discussed. Under the spectral gap condition, It is proved that there exist inertial manifolds for a class of nonautonomous evolution equations. Project supported by the National Natural Science Foundation of China     

量子受限效应和对称性效应对硅光子晶体禁带的影响

光子晶体不仅可以用来调控自发辐射, 还可以用来控制光的传输和局域. 采用平面波展开法进行模拟计算, 分析硅背景下的二维正方、三角晶格光子晶体散射基元的形状和空间取向对光子禁带的影响. 计算结果表明: 对称性和量子受限效应之间的竞争是导致光子晶体禁带宽度发生变化的原因.