分层球形导体中任意位置直流电流元产生电位的解析解

建立了任意层球形导体头模型.从泊松方程出发，利用电磁边界条件求解了分层球形导体中由任意位置直流电流元产生电位的一般解析解，并且给出了一种以矩阵形式表示的快速求解电位表达式中相关系数的方法.以表示头皮、颅骨、脑脊液和脑的四层球导体模型为例，对解析解进行了计算.结果表明，此解在除源点外的全域内收敛，且比仅用球谐函数展开形式的电位收敛快，计算量明显降低.给出了等位线图和流线图，表明低电导率对电位分布和电流流向的影响不可忽视.还给出了球表面电位分布特征，这有利于脑电逆问题的研究以及对脑电位测量结果的解释. 关键词： 电位 电流元 分层球形导体 脑电     

头部分层球模型磁感应成像正问题的解析解

建立适用于磁感应成像正问题研究的头颅四层同心球模型,分别代表大脑、脑脊髓层、颅骨层和头皮层.以矢量磁位为变量,建立球坐标系下的亥姆赫兹方程,作为磁感应成像正问题的控制方程,用分离变量法求解亥姆赫兹方程,得到模型内矢量磁位的分布,进而推导出球内涡流场的分布特性,绘制出其等位线图.分析激励电流频率和幅值对感应电压的影响.仿真结果表明该解析方法可以计算磁感应成像正问题,并可作为生成逆问题灵敏度矩阵的一种快速算法.     

低频振荡电位的能量和相位稳定性与偶极子电流活动相关性的仿真

能量和相位是分析脑节律的重要物理量, 虽有许多研究, 但其与脑组织电特性和脑节律源的关系尚不完全清楚, 弄清这一问题有助于脑电测量及脑功能和疾病的分析. 为此, 借鉴脑电正问题研究方法, 大脑可看作均匀球, 脑组织电特性用导体各向同性和各向异性电导率来表示, 脑节律源用准静态偶极子电流来模拟, 其活动表达为较低频率的正弦振荡, 在改变该活动的振幅和相位时程时, 用球表面剖分网格的振荡电位仿真脑节律, 提取节律的能量和相位, 计算源和节律的窄带相位稳定性. 结果表明: 仿真节律的能量随电导率增大而减小, 受网格位置、电导率各向异性、偶极子电流幅值和偏心位置影响较大; 但仿真节律的相位稳定性只与自身的相位时程有关. 说明能量与相位稳定性电学意义无交集, 同时用来分析脑节律可提供更多神经信息; 能量的电学意义更复杂, 取决于包括测量条件在内的多种因素; 相位稳定性的优势在于它仅与脑节律相位时程直接相关, 可预测的是脑的非线性导致的相位时程越离散, 则相位稳定性越差.     

等离子体天线表面电流分布与辐射特性研究

建立了表面波驱动等离子体天线装置,提出了一种等离子体天线表面电流指数分布模型,并利用该表面电流分布模型计算了天线的辐射方向图.研究结果表明,等离子体密度随轴向距离的增大呈指数衰减趋势.正常工作状态下表面波波矢虚部随等离子体密度的增大而下降,遵循与等离子体密度类似的指数衰减规律,但其实部则基本保持不变.等离子体天线的表面电流呈振幅指数衰减行波模式.利用该表面电流分布模型计算得到的辐射方向图呈现典型的8字形分布,与实验测量结果良好符合.当射频功率减小,等离子体天线辐射方向图宽化.     

具有金纳米小球覆盖的超导纳米线条的Ⅰ～Ⅴ特性

我们利用电磁场仿真软件CST分别对单个金纳米小球,单层纳米球和双层纳米球阵列在可见光波段的光吸收特性进行了仿真,所得结果与参考文献中实验数据一致,证明了方法的正确性.在此基础上对仿真结果进行了定性的分析,给出了影响纳米球等离激元谐振波长和吸收效率的因素.最后,我们将金纳米小球应用到超导单光子探测器中,测量了有金纳米颗粒和无金纳米颗粒时超导纳米线临界电流的变化,观察到金纳米颗粒表面等离激元共振引起的临界电流的大幅度变化,结合仿真,对实验测量结果给出了合理的解释.     

复合结构丝中的电流密度分布和巨磁阻抗效应

提出了由中间为高电导率的非铁磁性金属丝外面包裹一层铁磁材料组成的复合结构丝的电流 密度分布和巨磁阻抗(GMI)效应模型，并对Cu/FeCoNi复合丝进行了数值模拟. 结果表明：在 相同的磁性材料几何尺寸和磁特性时，Cu/FeCoNi复合丝铁磁层内的电流随频率的升高比匀 质FeCoNi铁磁丝内的电流更趋于表面分布，而且开始出现趋肤效应时对应的频率明显降低. 当在比较低的频率下就可以观察到明显的MI变化时，复合结构丝中的电阻和电抗变化主要是 由趋肤效应引起，趋肤效应仍然是引起复合结构材料(包括多层薄膜结构) 关键词： 电流密度 巨磁阻抗效应 趋肤效应     

电导率各向异性金属薄板感应式磁声图像的仿真

为了给金属薄板感应式磁声(MAT-MI)成像算法的研究提供数据源,提出一种电导率各向异性金属薄板表面MAT-MI图像的数值仿真方法。建立含缺陷的电导率各向异性金属薄板仿真模型,并将其置于静磁场中。将通入交变电流的折线线圈置于金属薄板上方,对金属薄板在静磁场和交变磁场共同作用下产生的感应涡流以及声源(即洛伦兹力)进行数值仿真,得到金属薄板表面波位移分布的灰度图像。仿真实验结果表明,根据表面波位移在缺陷处迅速衰减的特性,可从图像中准确地识别并定位金属薄板表面的缺陷。忽略金属材料的电导率各向异性会降低成像质量,进而导致对缺陷的误判。通过提高表面波位移信号的信噪比可改善成像质量。减小提高距离或增大激励电流频率,可提高系统对微小缺陷和不规则缺陷检测的分辨力。      

电流环支承的超导球表面磁场计算

本文基于磁荷模型采用解析方法推证出电流环在超导球表面产生的磁场分布.首先不考虑超导球的抗磁性,由Biot-Savart定律计算出电流环在球面产生的磁场.再根据Meissner态超导体的边界条件,并基于磁荷模型计算出超导球的感应磁场.将电流环产生磁场与超导球的感应磁场叠加得到超导球表面的合磁场.     

宏观电偶极子对聚丙烯铁电驻极体膜电荷储存及其动态特性的影响

利用栅控恒压电晕充电组合反极性电晕补偿充电法，研究了孔洞(单元电畴)内分布的空间电荷型宏观电偶极子的形成，及其增长对聚丙烯孔洞膜电极化期间的电流特性及电导率的影响. 借助等温表面电位衰减测量、开路和短路热刺激放电电流谱分析等，讨论了宏观电偶极子及其密度变化时的聚丙烯孔洞驻极体膜电荷储存稳定性及电荷动态特性. 实验结果说明：由电极化形成的宏观电偶极子的自身电场提高了聚丙烯孔洞驻极体膜的电导率，从而降低了驻极体膜电荷储存的稳定性. 对呈现弱极化强度的孔洞驻极体膜，以孔洞为畴结构基本单元内的宏观电偶极子，其两性空间电荷的大部分仅仅分别沉积在透镜状孔洞上下两壁的两端. 外激发脱阱电荷从脱阱位置的输运路径，主要是绕孔洞两边沿介质层迁移；而极化强度较高的样品，其两性电荷则分别分布在上下两壁的宽广区域内，脱阱电荷的大部分在驻极体电场驱动下从脱阱位置通过孔洞层间的介质层迁移并衰减.     

直流电晕充电下环氧树脂表面电位衰减特性的研究

介质材料表面电荷的积累和衰减行为是制约众多高压直流电力设备研制的关键因素. 薄片状介质试样的表面电荷密度与表面电位近似呈线性关系, 因此常通过表面电位衰减行为研究表面电荷的衰减特性. 基于电晕充电、表面电荷沉积和脱陷、介质体内单极性电荷输运等3个物理过程, 建立表面电位动态响应的物理模型. 通过计算环氧树脂的表面电位衰减行为, 得到栅极电压、相对介电常数和体电导率等对其表面电位衰减特性的影响. 栅极电压越高, 表面电位的衰减速度越快; 环氧树脂材料参数典型值(相对介电常数3.93, 体电导率10^-14 S· m^-1)下, 归一化表面电位的衰减速率随时间变化的曲线可拟合为分段幂函数, 其中, 分段幂函数的特征时间、指数系数与栅极电压分别呈幂函数和线性变化关系. 相对介电常数越大, 表面电位的衰减速度越慢; 环氧树脂相对介电常数典型范围(3–4)内, 表面电位衰减时间常数由1720 s增大到2540 s, 两者呈线性关系. 体电导率越大, 表面电位的衰减速度越快; 环氧树脂体电导率典型范围(10^-15–10^-13 S· m^-1)内, 表面电位衰减时间常数由24760 s 减小到260 s, 两者呈幂函数变化关系.     

Calculation of the electrical conductivity of a thin metal layer in the case of different specular reflectances of its surfaces

The local electrical conductivity of a thin metal layer is calculated and modeled with the different specular reflectances of its internal surfaces taken into account. The dependence of the real and imaginary parts of the conductivity on the dimensionless frequency of electron collisions in the volume of the thin layer and on the dimensionless frequency of the external field is analyzed. The kinetic Boltzmann equation is used in the approximation of the electron relaxation time.     

Determination of the spatial distribution of abnormal EEG and MEG from current dipole in inhomogeneous volume conductor

Summary The electrical conductivity of brain lesions varies with pathological situations such as edema and calcification. The effect of the tissue inhomogeneities of brain lesions on spatial distributions of electrical potentials and magnetic fields over the surface of the head was studied by means of a computer simulation. Paper presented at the ?IV International Workshop on Biomagnetism?, held in Rome, September 14–16, 1982.     

The Effect of Superficial Tissue of the Head on Spatial Sensitivity Profiles for Near Infrared Spectroscopy and Imaging

Near infrared spectroscopy and imaging have been used in measurements of brain activity. The scatter of light in biological tissue which causes ambiguity in the volume of tissue interrogated with near infrared instruments is a serious problem for near infrared spectroscopy and imaging. The heterogeneity of superficial tissue of the head, especially the presence of non-scattering clear cerebrospinal fluid, affects the light propagation in the brain. In this paper the theoretical results of the effect of superficial tissue on the spatial sensitivity profile in the head for near infrared spectroscopy and imaging are reviewed. Simplified homogeneous and heterogeneous models are used to investigate the effect of the non-scattering clear layer on the spatial sensitivity profile in the head. Time resolved spatial sensitivity profiles reveal the effect of this layer on the early and late detected light. Finally, the author presents the spatial sensitivity profiles in the sophisticated adult and neonate head models to discuss the effect of superficial tissue on the near infrared measure of brain activity bydetecting the two heads.     

Theory of magnetooptical effects in thin ferromagnetic films

A systematic theory is derived for the anomalous magnetooptical effects in thin ferromagnetic films for the more general case in which conduction electrons are scattered by both phonons and impurities. The Kohn-Luttinger density-matrix method is used to find the tensor for the complex transverse conductivity, which is linear in the spin-orbit interaction and can be used to find the magnetooptical parameter. The temperature dependences of the real and imaginary parts of the conductivity tensor are found for high temperatures.     

Nucleus-nucleus scattering in the high-energy approximation and optical folding potential

A microscopic complex folding-model potential that reproduces the scattering amplitude of Glauber-Sitenko theory in its optical limit is obtained. The real and imaginary parts of this potential are dependent on energy and are determined by known data on the nuclear-density distributions and on the nucleon-nucleon scattering amplitude. For the real part, use is also made of a folding potential involing effective nucleon-nucleon forces and allowing for the nucleon-exchange term. Three forms of semimicroscopic optical potentials where the contributions of the template potentials—that is, the real and the imaginary folding-model potential—are controlled by adjusting two parameters are constructed on this basis. The efficiency of these microscopic and semimicroscopic potentials is tested by means of a comparison with the experimental differential cross sections for the elastic scattering of heavy ions ¹⁶O on nuclei at an energy of E ～ 100 MeV per nucleon.     

Asymptotic Properties of Solvable $\mathcal{PT}$-Symmetric Potentials

The asymptotic region of potentials has strong impact on their general properties. This problem is especially interesting for PT\mathcal{PT}-symmetric potentials, the real and imaginary components of which allow for a wider variety of asymptotic properties than in the case of purely real potentials. We consider exactly solvable potentials defined on an infinite domain and investigate their scattering and bound states with special attention to the boundary conditions determined by the asymptotic regions. The examples include potentials with asymptotically vanishing and non-vanishing real and imaginary potential components (Scarf II, Rosen-Morse II, Coulomb). We also compare the results with the asymptotic properties of some exactly non-solvable PT\mathcal{PT}-symmetric potentials. These studies might be relevant to the experimental realization of PT\mathcal{PT}-symmetric systems.     

The special features of the frequency dependence of phononless hopping conduction

Within the framework of perturbation theory the imaginary part of the phononless conduction of a lightly doped compensated semiconductor is calculated. It is shown that when the basis of localized atomic-like functions is used, the superlinear frequency dependence of the real part of the conduction corresponds to the approximately linear frequency dependence of the imaginary part of the conductivity. It has been found that at frequencies below the transition (crossover) frequency ??_cr from the linear to quadratic frequency dependence of the real part of conductivity, the dielectric loss tangent depends weakly on the frequency and it is determined by the relationship of ???_cr to the width of the impurity band. It is shown that measurements of the dielectric loss tangent can provide information on the localization radius of impurity states.     

Dynamical conductivity of type-I semiconductor superlattices

We calculated longitudinal and transverse macroscopic as well as microscopic dynamical conductivity for a modulation-doped type-I superlattice. Our computed long wavelength macroscopic conductivity significantly differs from Drude conductivity in the low-frequency regime (microwave and infrared radiations). Macroscopic conductivity shows oscillatory behaviour along the direction of growth of the superlattice. Propagation of transverse electromagnetic waves in a superlattice has been studied for all possible values of frequency and wavevector. It is found that microscopic transverse conductivity exhibits poles along both real and imaginary axes of frequency. Depending on the values of wavevector components, along and perpendicular to the direction of the superlattice, both poles can lie on real or imaginary axes of frequency. We also find that there can be more than one penetration depth for a superlattice and one of them decreases with frequency for frequencies below the microwave regime.     

Pion-nucleus optical potential: The pion-absorption contribution

The real and imaginary parts of pion-nucleus optical potential arising from pion absorption channel have been computed. A two-nucleon model of pion absorption which includesπ andρ rescattering andS-wave interaction has been used. The effects of short-range nucleon-nucleon correlations, Pauli blocking and formfactors have been included. The threshold values of imaginary absorption potential are reasonably close to density-squared terms of phenomenological potentials. The real part ofP-wave potential is attractive and that ofS-wave potential is weakly attractive at lower pion energies and changes sign as pion energy is increased. The calculation shows that the real part of absorption is significantly affected by short-range correlations and Pauli-blocking.