一种可用于分析任意介电常数张量的各向异性波导导模的二维时域有限差分模型

为分析具有任意介电常数张量的各向异性波导的导模,本文通过把简化的二维时域有限差分(2-DFDTD)法扩展至任意各向异性介质,提出了一种以D、E和H场为基础的统一的简化2-DFDTD模型.利用该模型,研究了简化的复数2-DFDTD方法与实变数2-DFDTD方法之间的关系.文中还讨论了复变数方法和实变数方法的激励技术.     

氧化硅包敷对铁黄脱水过程的影响

本文采用ＤＴＡ、ＴＧ、ＨＴＸＴＤ和ＴＥＭ研究了ＳｉＯ２包敷ａ－ＦｅＯＯＨ粒子的脱水过程。从ＤＴＡ和ＴＧ曲线算得的动力学参数表明，ＳｉＯ２包敷ａ－ＦｅＯＯＨ粒子的脱水过程近似为一级反应，其活化能大于未处理的ａ－ＦｅＯＯＨ粒子的活化能。     

BaZn2(GeMn)0-2Fe15-6O27六角铁氧体的磁晶各向异性

用标准陶瓷工艺制备了ＢａＺｎ２（ＧｅＭｎ）０－２Ｆｅ１５－６Ｏ２７六角铁氧体．假设Ｇｅ４＋取代了４ｅ和４ｆⅣ中的Ｆｅ３＋,能够很好地解释实验结果．利用分子场理论和Ｈ．Ｂ．Ｃａｌｌｅｎ单离子各向异性模型计算了ＢａＺｎ２（ＧｅＭｎ）０－２Ｆｅ１５－６Ｏ２７次点阵之间的交换参数和各次点阵对磁晶各向异性的贡献,并对实验结果进行了拟合．结果表明,１２ｋ和２ｄ次点阵对磁晶各向异性有较大的贡献 关键词：     

k－ε－PDF两相湍流模型和台阶后方气粒两相流动的模拟

本文提出了两相湍流的ｋ－ε－ＰＤＦ模型。ＰＤＦ模型所得的湍流两相流动的统计平均方程，与雷诺时均方程有相似的形式，但ＰＤＦ模型可精确计算出颗粒相各方程的脉动关联项。本文将该模型用于预报台阶后方湍流两相流动，与ｋ－ε－ｋｐ模型相比，它可以更合理地预报出颗粒湍流的各向异性。     

一种新的实乘子FFT快速算法

本文引入了ＤＦＴ的四种类型（即ＤＦＴ－ｊ，ｊ＝Ⅰ，Ⅱ，Ⅲ，Ⅳ），探讨了四种ＤＦＴ之间的联系以及其固有特性，由此提出了适合于长度Ｎ＝２ｍ所有四种类型ＤＦＴ的一种新的实乘子快速算法．文中导出了用Ｋｒｏｎｅｃｋｅｒ直积与直和形式表示的算法公式；以长度Ｎ＝２３为算例给出了信号流图；分析了算法的运算量，并与传统的基２算法以及现有的其它三种实乘子ＦＦＴ算法进行了比较．结果表明，本文提出的算法所需运算量最少，用实数作乘子，可进行原位计算，结构简单规则，易于实现．     

BaFCl_（x）Br_（1－x）：Sm~（2＋）中_（5）D_2→~（7）F_

本文以ＢａＦＣｌｘＢｒ－１－ｘ：Ｓｍ２＋Ｄ２→７Ｆ０的跃迁几率随ｘ变化为中心对ＢａＦＣｌｘＢｒ－１－ｘ：Ｓｍ２＋体系４ｆ５ｄ带的激发光谱、５Ｄ２→７Ｆ０跃迁的荧光衰减随温度的变化特性、５Ｄ２→７Ｆ０的跃迁几率等进行了研究．从而得出结论：在ＢａＦＣｌｘＢｒ１－ｘ：Ｓｍ２＋中，随Ｂｒ含量的增大，４ｆ５ｄ带与５Ｄ２能级更加接近，使７Ｆ０→Ｄ２的吸收截面增大，从而可能提高在５Ｄ２：能级烧孔的效率．     

NH4Cl作助熔剂合成CaS：Ce的光谱特性及其浓度效应

以ＮＨ４Ｃｌ作助溶剂，碳还原硫酸钙的方法合成了ＣａＳ：Ｃｅ。在紫外光激发下，ＣａＳ：Ｃｅ中存在着Ｃｅ＾３＋的＾２Ｄ－＾２Ｆ５／２（５００ｎｍ）和＾２Ｄ－＾２Ｆ７／２（５５０ｎｍ）跃迁发射，但在蓝色光激发下，只有波峰为５３２ｎｍ半宽度为９２ｎｍ的宽带发射。当Ｃｅ＾３＋的浓度为０．０７５ｍｏｌ％时，＾２Ｄ－＾２Ｆ５／２跃迁发射强度与＾２Ｄ－＾２Ｆ７／２跃迁发射强度相等，而５３２ｎｍ发射猝灭。     

旋流两相流动的DSM—PDF两相湍流模型

本文提出了气相雷诺应力方程模型和颗粒概率密度输运方程模型相结合而构成的ＤＳＭ—ＰＤＦ两相湍流模型,并用该模型和ｋ－ε－Ｋｐ模型模拟了文献中测量的旋流数为０．４７的旋流突扩气粒两相流动．和测量结果的对照表明,两模型都能较好地模拟族流数不高的两相流动平均速度场,但ＤＳＭ—ＰＤＦ模型可以揭示出两相湍流的各向异性,因此有预报强旋两相流动的潜力．     

DSM-LPDF两相湍流模型及旋流两相流动的模拟

本文由流体－颗粒速度的拉氏联合概率密度函数（ＰＤＦ）输运方程出发,用Ｓｉｍｏｎｉｎ建议的Ｌａｎｇｅｖｉｎ模型封闭颗粒所遇到流体瞬时速度的条件期望项,并用Ｍｏｎｔｅ Ｃａｒｌｏ方法直接求解 ＰＤＦ输运方程,将其和求解流体雷诺应力方程模型的有限差分方法结合,建立了雷诺应力－拉氏ＰＤＦ（ＤＳＭ－ＬＰＤＦ,简称ＤＬ）两相湍流模型．用此模型模拟了旋流数为０．４７的突扩旋流气粒两相流动,并与文献中ＰＤＰＡ实验和用类似于单相流动湍流模型封闭方法的时平均统一二阶矩（ＵＳＭ）模型的预报进行了对比．     

类Be离子电子碰撞电离的速率系数计算

本文用Ｓａｍｐｓｏｍ等的“Ｚ－标度类氢模型和库仑玻恩交换近似”方法，修改了Ｓａｍｐｓｏｎ理论中关于屏蔽常数的定义，选用电子机轨道平均半径标准，使用多组态Ｈａｒｔｒｅｅ－Ｆｏｃｋ（ＭＣＨＦ）及多组态Ｄｉｒａｃ－Ｋｏｃｋ（ＭＣＤＦ）方法计算屏蔽常数，并给出了类Ｂｅ离子Ｃ＾２＾＋，Ｎ＾３＾＋，Ｏ＾４＾＋，Ｎｅ＾６＾＋及Ｆｅ＾２＾２＾＋的电离速率系统。从计算结果，可以看到高荷电靶离子的相对论效应。     

斜入射分层线性各向异性等离子体电磁散射时域有限差分方法分析

提出了斜入射分层线性各向异性等离子体电磁散射的时域有限差分(FDTD)方法,通过将二维麦克斯韦方程等价地转换为一维麦克斯韦方程,避免了用二维时域有限差分方法分析该散射问题,极大地提高了计算效率.分析推导了TEz和TMz波斜入射线性分层各向异性等离子体电磁散射的FDTD方法,然后通过该方法计算不同入射角的各向异性等离子板的电磁波反射系数,并与其解析解进行比较,结果表明该方法的准确性和有效性.最后,将该算法应用于计算涂覆分层各向异性等离子体金属板在不同入射角下的反射系数,分析了不同入射角对反射系数的影响.     

平面光波导结构的FDTD分析

将各向异性理想匹配层(APML)吸收边界条件用于平面光波导结构的时域有限差分法(FDTD)分析中,导出了APML媒质中适用于角域和边缘的通用差分方程,并对平行介质带定向耦合器进行了数值模拟和验证,所得数值解与解析解非常一致.该方法可用于任意复杂结构的平面光波导的计算机辅助设计与分析.     

A generalized 2D FDTD model for photonic crystal fibers with frequency dependent media

A generalized model based on the two-dimensional finite-difference time-domain (2D FDTD) method for photonic crystal fibers (PCF) with frequency dependent media is presented. The Maxwell’s curl equations are formulated using flux density and the magnetic field. Auxiliary differential equations are used with complex-conjugate pole-residue pairs which incorporate the material dispersion of the dispersive media. The model is demonstrated to be a unified approach for arbitrary dispersive materials; therefore, it definitely reduces implementation cost when dealing with different frequency-dependent materials.     

Extension of the generalized multipole technique to anisotropic medias

This paper presents an extension of the generalized multipole technique (GMT) for 2D anisotropic scatterers. New expansions similar to the Bessel multipole expansion are derived for arbitrary anisotropic media. Numerical simulations prove the accuracy and the rapid convergence of these expansions. As the results obtained are extremely accurate, this technique is most helpful for the evaluation of reference solutions and for the understanding of the physical interaction of light with arbitrary anisotropic media.     

粒子模拟中激励源的一种等效设置方法

 基于计算电磁学中对强迫激励源消除虚假反射的算法分析，提出了用等效电流和等效磁流在FDTD公式中引入电场激励源和磁场激励源的方法。从粒子模拟方法的基本方程和迭代公式出发，分析了激励源的引入过程，推导出激励源所等效的电流项和磁流项表达式，实现了新的激励源设置方法，并进行了数值验证和结果讨论。研究表明：这类等效模型与标准FDTD公式能紧密结合，引入非常方便；不必专门设置一个附加的散射场区来处理散射场的计算，大大节省了计算时间和计算内存，比常规总场/散射场体系方法的效率高20%以上，对粒子模拟这类耗时的计算较为适用。通过对2维柱坐标系下相对论速调管放大器(RKA)的模拟，证明了此类激励源设置方法的实用性。     

A Feynman-Kac formula for the quantum Heisenberg ferromagnet. I

The Hamiltonian of the (anisotropic) quantum Heisenberg (anti-) ferromagnet on an arbitrary finite lattice is lifted to a Hamiltonian acting on sections of the bundle obtained by twisting a certain line bundle over the classical spin configuration space (which is a Kähler manifold) with the Dolbeault complex. This procedure is extended fromSU(2) to arbitrary compact semi-simple Lie groups and arbitrary irreducible representations. The Bott-Borel-Weil theorem gives a heat kernel representation for the original partition function in an external magnetic field. TheU(1)-gauged local Hamiltonian is the sum of the free, supersymmetric, twisted Dolbeault Laplace operator (multiplied by the inverse of an arbitrary small mass parameter) plus the lifted Hamiltonian.The resulting (Euclidean) Lagrangian is nonlocal and describes bosons which do and fermions which do not propagate through the lattice. All fields couple to the external magnetic field. The Lagrangian contains Yukawa and Luttinger type interactions.     

磁化铁氧体电磁散射的移位算子FDTD分析

将移位算子（shift operator,SO）-时域有限差分（fintie difference time domain,FDTD）方法推广到外磁场沿任意方向时磁化铁氧体的情形.从磁化铁氧体的相对磁导系数张量和各向异性情形下Maxwell旋度方程出发,推导出外磁场沿任意方向情形下磁化铁氧体电磁散射的SO-FDTD迭代公式.应用该方法计算了磁化铁氧体层、磁化铁氧体球及含磁化铁氧体涂层的Von Karman形雷达罩电磁散射,数值计算结果表明了该算法的正确有效性. 关键词： 磁化铁氧体 FDTD 移位算子法     

Effect of RF coil excitation on field inhomogeneity at ultra high fields: a field optimized TEM resonator

In this work, computational methods were utilized to optimize the field produced by the transverse electromagnetic (TEM) resonator in the presence of the human head at 8 Tesla. Optimization was achieved through the use of the classical finite difference time domain (FDTD) method and a TEM resonator loaded with an anatomically detailed human head model with a resolution of 2 mm × 2 mm × 2 mm. The head model was developed from 3D MR images. To account for the electromagnetic interactions between the coil and the tissue, the coil and the head were treated as a single system at all the steps of the model including, numerical tuning and excitation. In addition to 2, 3, 4, 6, and 10-port excitations, an antenna array concept was utilized by driving all the possible ports (24) of a 24-strut TEM resonator. The results show that significant improvement in the circularly polarized component of the transverse magnetic field could be obtained when using multiple ports and variable phase and fixed magnitude, or variable phase and variable magnitude excitations.     

Compact-2D FDTD for waveguides including materials with negative dielectric permittivity, magnetic permeability and refractive index

An efficient compact-2D finite-difference time-domain method is presented for the numerical analysis of guided modes in waveguides that may include negative dielectric permittivity, negative magnetic permeability and negative refractive index materials. Both complex variable and real variable methods are given. The method is demonstrated for the analysis of channel-plasmon-polariton guided modes in triangular groves on a metal surface. The presented method can be used for a range of waveguide problems that were previously unsolvable analytically, due to complex geometries, or numerically, due to computational requirements of conventional three-dimensional finite-difference time-domain methods. A three-dimensional finite-difference time-domain algorithm that also allows analysis in the presence of bound or free electric and equivalent magnetic charges is presented and an example negative refraction demonstrates the method.