二维介质柱光子晶体波导吸收边界条件

设计优化了用于截断二维正方格子介质柱光子晶体波导的分布布拉格反射波导的结构.二维时域有限差分数值模拟结果显示，在上述两种波导联接处的反射系数可以在大部分光子晶体波导导波的频谱范围内降到1％以下.将这种分布布拉格反射波导和通常的吸收边界条件相结合可以构成用于光子晶体波导的吸收边界条件，其反射率可以降低到-40dB以下，吸收层的厚度可取为晶格长度的1.3倍. 关键词： 吸收边界条件 光子晶体波导 时域有限差分     

On the multistability of spatial solitons in waveguide and optical lattice

Properties of spatial solitons in channel waveguide and optical lattice are studied with the help of projection operator approach. The nonlinearity is assumed to be of cubic-quintic type. The stability consideration of the fixed point solutions of the ODE’s governing the evolution of soliton parameters indicates to the existence of more than one branch of soliton, giving rise to multistability. Explicit numerical analysis gives more information than the standard Vakhitov–Kolokov criterion. A systematic numerical simulation of the soliton profile gives detailed information about the nature of trapping and structure of the different branches of the pulse. It is observed that even under different launching conditions the solitons do not radiate but get trapped.     

极性晶体中表面磁极化子的温度依赖性

本文讨论电子和体纵光学声子耦合弱,与表面光学声子耦合强时对表面磁极化子的温度特性的影响,用线性组合算符法研究表面磁极化子的振动频率和诱生势的温度依赖性.对AgCl晶体进行了数值计算.结果表明,极化子的振动频率和诱生势随温度的升高而减小.     

开壳层原子光电离截面计算中的单粒子等效势

运用Ｒａｃａｈａｌｇｅｂｒａ方法定义了一种等效单粒子势，使在开壳层原子的光电离截面计算的Ｇｏｌｄｓｔｏｎｅ图中一级图全部消失，计算工作得以简化。整个过程运用了角动量图示法加以说明。     

Self-optimizing Diffusion Quantum Monte Carlo Calculation: the Potential Energy Curve of C_2

11NTRODUCTIONDiffusionquantumMonteCarlo(DMC)isoneofthesimplestofthevariousMonteCarlotechniquesavailabletosolvetheSchrodingerequation,forarecentre-viewofDMC(seeRef[1i).Foravarietyofsmallatomsandmolecules,DMChasbeenshowntobecapableofprovidinganestimateoftheground-state(nonrelativistic)energywithanaccuracycomparabletogoodqualityClcalculations,evenwhenarelativelysimpletrialwavefunctionisemployed.However,todate,thereareseveralobstaclesinaDMCcalculation:(1)BeforetheDMCcomputation,thepar…     

Scaling considerations for modelling the in situ vitrification process

Thermal-electric field interactions occur in many areas of engineering. An example is the in situ vitrification process, a relatively new technology for remediating hazardous wastes. Mathematical and physical modelling of this process requires knowledge of the similarity constraints involving thermal- electric fields. This paper addresses this issue and derives the scaling relationships for modelling the remediation process from fundamental principles. Requirements for maintaining temperature and electric potential field similarity between the model and the prototype are determined as well as requirements for maintaining similarity in off-gas generation rates. A scaling rationale for designing reduced scale experiments is presented, and the results are assessed numerically.     

Analytic continuation of the exponential transform from convex cavities

The analytic continuation of the exponential transform of a domain in Rn is proved under some global geometric assumptions on the boundary. Two approximation schemes of the continued transform (one based on a Taylor series truncation, the other on a global eigenfunction expansion) are also discussed.     

中能重离子碰撞中的同位旋分馏过程

利用同位旋相关的量子分子动力学模型研究了中能重离子碰撞中同位旋分馏过程.研究结果表明自由粒子中质比与碎片中质比的比值即同位旋分馏强度灵敏地依赖于对称势,而对同位旋相关核子–核子碰撞截面的依赖很弱.同位旋分馏对对称势的灵敏主要来自于气相部分,而液相部分对对称势不够灵敏.气相部分灵敏地依赖于对称势是直接造成同位旋分馏强度对对称势灵敏的主要原因.同时还讨论了各种液相部分的取法,其结果表明不同取法对以上结论的影响不大.因此理论结果与实验数据可以直接比较从而提取对称势的知识.并对引发同位旋分馏的动力学的起因进行了分析和讨论.     

A note on the mathematical structure of the optical cubic-quintic Schrödinger equation

The mathematical structure of the optical cubic-quintic Schrödinger equation is investigated in a special way by considering a potential depending upon the modulus of the wave-functions involved. In this context, an associated operator is defined.