Cardiac magnetic source imaging based on current multipole model

It is widely accepted that the heart current source can be reduced into a current multipole. By adopting three linear inverse methods, the cardiac magnetic imaging is achieved in this article based on the current multipole model expanded to the first order terms. This magnetic imaging is realized in a reconstruction plane in the centre of human heart, where the current dipole array is employed to represent realistic cardiac current distribution. The current multipole as testing source generates magnetic fields in the measuring plane, serving as inputs of cardiac magnetic inverse problem. In the heart-torso model constructed by boundary element method, the current multipole magnetic field distribution is compared with that in the homogeneous infinite space, and also with the single current dipole magnetic field distribution. Then the minimum-norm least-squares (MNLS) method, the optimal weighted pseudoinverse method (OWPIM), and the optimal constrained linear inverse method (OCLIM) are selected as the algorithms for inverse computation based on current multipole model innovatively, and the imaging effects of these three inverse methods are compared. Besides, two reconstructing parameters, residual and mean residual, are also discussed, and their trends under MNLS, OWPIM and OCLIM each as a function of SNR are obtained and compared.     

基于心磁信号的心脏电流偶极子阵列成像及相关性质的研究

超导量子干涉器（SQUID）能探测到微弱的心脏磁场信号. 通过对所得的心磁信号进行分析,可为许多心脏疾病的诊断提供依据. 利用心磁信号,采用极小范数最小二乘法（MNLS）对心脏的电流偶极子阵列进行重建,从而实现了对心脏内部等效电流源的成像. 在使用MNLS进行电流偶极子阵列反演重建的过程中,反演所需的心磁信号,分别由单电流偶极子和电流多极子作为激发源模拟得到,以及由SQUID实际测量得到. 同时,对不同心磁信号反演得到的电流偶极子的分布规律进行了分析. 此外,还给模拟的人体外心磁信号施加了均匀噪声和随机噪声,研究不同信噪比的均匀噪声和随机噪声对电流偶极子阵列重建的影响.     

基于心磁信号的心脏电流偶极子阵列成像及相关性质的研究

超导量子干涉器（SQUID）能探测到微弱的心脏磁场信号. 通过对所得的心磁信号进行分析,可为许多心脏疾病的诊断提供依据. 利用心磁信号,采用极小范数最小二乘法（MNLS）对心脏的电流偶极子阵列进行重建,从而实现了对心脏内部等效电流源的成像. 在使用MNLS进行电流偶极子阵列反演重建的过程中,反演所需的心磁信号,分别由单电流偶极子和电流多极子作为激发源模拟得到,以及由SQUID实际测量得到. 同时,对不同心磁信号反演得到的电流偶极子的分布规律进行了分析. 此外,还给模拟的人体外心磁信号施加了均匀噪声和随机噪声,研究不同信噪比的均匀噪声和随机噪声对电流偶极子阵列重建的影响. 关键词： 心磁信号 超导量子干涉器 电流偶极子阵列重建 极小范数最小二乘法     

Comparison between voltage and current driving methods of a micro-speaker

Since its inception, most audio amplifiers control the loudspeaker in voltage. However previous studies highlighted the importance of the loudspeaker control in current. These studies have been done only with large size loudspeakers (bass or midrange loudspeakers) and this is certainly not transposable for the type of loudspeaker in interest i.e. micro-speaker. First of all, this paper describes a model of loudspeaker (voltage driven and also current driven) represented by a comprehensive set of data based on a minimal number of measurements. Simulation results based on these models are presented using single frequency signals such as multi-frequencies signals to compare the two driven methods. At this level of modelling, simulation results show that, contrary to the woofer applications, current driving of micro-speaker does not affect significantly in terms of harmonic distortions, intermodulation distortions and transient behavior.     

多腔体心脏磁场模型的研究与应用

利用核磁共振图像(MRI)中提取的人体和心脏边界,根据边界元方法(BEM)建立了一个考虑左、右心房和心室的多腔体心脏磁场模型.分析了用该模型得到的36通道心脏磁场数据和特定时刻的磁场图.并在此基础上,研究了完全性右束支传导阻滞(CRBBB)和完全性左束支传导阻滞(CLBBB)病人ST-T段的心脏电活动.结果显示,用移动单电流偶极子模拟的单束支电兴奋传导所产生的磁场图与用超导量子干涉器(SQUID)测量的CRBBB/CLBBB病人数据绘制的心脏复极时的心磁图(MCG)十分相似.结果表明,该多腔体心脏BEM模型可用于CLBBB/CRBBB病人心脏磁场逆问题的研究.此外,文中给出了两个评价指标:测量平面上多腔体与单腔体的心脏磁场强度极大值之比,以及两种模型的36个测量点上磁场强度均方根之比.分析表明,多腔体心脏模型更贴近人体心脏的实际情况.该模型中心脏组织电导率参数的取值,以及等效电流偶极子的位置和个数决定了磁场的强度和分布.     

Persistent spin current in a quantum wire with weak Dresselhaus spin——orbit coupling

The spin current in a parabolically confined semiconductor heterojunction quantum wire with Dresselhaus spin--orbit coupling is theoretically studied by using the perturbation method. The formulae of the elements for linear and angular spin current densities are derived by using the recent definition for spin current based on spin continuity equation. It is found that the spin current in this Dresselhaus spin--orbit coupling quantum wire is antisymmetrical, which is different from that in Rashba model due to the difference in symmetry between these two models. Some numerical examples for the result are also demonstrated and discussed.     

Simplification of Double Folding Model Calculations in Study of Interaction Between Two Deformed Nuclei

The Double Folding （DF） model calculation of the internuclear potential in heavy-ion interactions when the participant nuclei are deformed in their ground states involves a six-dimensional integral. Using the multipole expansion in these calculations, the DF six-dimensional integral reduce to the sum of the products of three single-dimensional integrals. In this paper we have presented a procedure for the calculation of the radius dependent functions in the multipole expansion of the nuclear density and their Fourier transforms. We have also reduced the DF model integrals to the sum of the single dimensional integrals using the obtained relations for the radius dependent functions in the multipole expansion and their Fourier transforms.     

Nondipole parameters of TDCS for electron impact ionization and drag current

A comprehensive study is undertaken of angular distributions of electron knock-out from atomic targets by fast electrons with a small transfer of momentum. The general expressions for the parameters of the triple differential cross-section of impact ionization in the optical limit are derived. The calculated parameters are compared with those of the angular distribution of electrons ejected from an atom in the process of photoionization. In these processes, when the multipole transitions are involved, the one-to-one correspondence between the photoionization and impact ionization parameters disappears. The nondipole transitions lead to the backward/forward asymmetry of the angular distribution of ejected electrons that is absent in the dipole approximation for ionization by both fast electrons and photons. Using the He atom as an example, the character of the asymmetry for these two processes is qualitatively different and the backward/forward asymmetry results in macroscopic directed motion of secondary electrons accompanying the passing of a fast electron beam through gas or plasma. The general formulas for this drag current are derived and applied to gaseous He.     

Elastic neutrino proton scattering and the structure of the neutral current

Optimal constraints on the structure of a general V, A hadronic neutral current are derived from neutrino proton scattering and compared with corresponding results from inclusive neutrino scattering and single pion production by neutrinos. For an arbitrary axial component of the neutral current, restrictions for the vector coupling constants are obtained. It is shown that the most general neutral current which can be related to charged weak and electromagnetic currents accounts for all existing data on neutrino hadron scattering. The neutral current coupling constants are determined for the pure isovector model, the Salam-Weinberg model and the bottom-quark model. All three models lead to practically the same isovector couplings but they differ in the strength of the isoscalar current.     

Simulation study of a magnetocardiogram based on a virtual heart model: effect of a cardiac equivalent source and a volume conductor

In this paper,we present a magnetocardiogram(MCG) simulation study using the boundary element method(BEM) and based on the virtual heart model and the realistic human volume conductor model.The different contributions of cardiac equivalent source models and volume conductor models to the MCG are deeply and comprehensively investigated.The single dipole source model,the multiple dipoles source model and the equivalent double layer(EDL) source model are analysed and compared with the cardiac equivalent source models.Meanwhile,the effect of the volume conductor model on the MCG combined with these cardiac equivalent sources is investigated.The simulation results demonstrate that the cardiac electrophysiological information will be partly missed when only the single dipole source is taken,while the EDL source is a good option for MCG simulation and the effect of the volume conductor is smallest for the EDL source.Therefore,the EDL source is suitable for the study of MCG forward and inverse problems,and more attention should be paid to it in future MCG studies.     

从流密度的Fourier分量出发民出多极矩表达式

从运动电荷产生的流密度入手，通过Ｆｏｕｒｉｅｒ变换引入各级多极矩的表达式。     

A theoretical extraction scheme of transport information based on exclusion models

In order to explore how to extract more transport information from current fluctuation,a theoretical extraction scheme is presented in a single barrier structure based on exclusion models,which include counter-flows model and tunnel model.The first four cumulants of these two exclusion models are computed in a single barrier structure,and their characteristics are obtained.A scheme with the help of the first three cumulants is devised to check a transport process to follow the counter-flows model,the tunnel model or neither of them.Time series generated by Monte Carlo techniques is adopted to validate the abstraction procedure,and the result is reasonable.     

扬声器中涡流的热效应

通过分析和比较两种扬声器涡流电学模型和两种扬声器热模型，提出一种分频段的非线性热模型类比线路，给出了对应的音圈稳态温度公式，并在高频段运用逐点测温的方法研究，论证了扬声器涡流随频率变化的规律及其对扬声器热效应的影响。     

Polarization forces in water deduced from single molecule data

The intermolecular electrostatic and polarization interactions in water are determined using a minimal atomic multipole model constructed with distributed polarizabilities. Hydrogen bonding and other properties of water-water interactions are reproduced by only three multipoles mu(H), mu(O), and theta(O) and two polarizabilities alpha(O) and alpha(H), which characterize a single water molecule and are deduced from single-molecule data.     

Multipole expansion of non-local coupling potentials for cluster transfer and application to 16O(16O, 12C)20Ne

When the transfer of clusters and the symmetrization (antisymmetrization) of scattering wave functions is described by cluster models within the coupled-channel formalism, non-local coupling potentials arise. We suggest a procedure to calculate these potentials by a multipole expansion of all potentials and wave functions which depend on sums of vectors. The expansion coefficients are found by least-squares fit. The method is applied to the ¹⁶O(¹⁶O, ¹²C)²⁰Ne reaction, which is treated in the cluster model with two inert ¹²C- and α-clusters as constituents.     

Local current commutators

The predictive power of current algebra relations is discussed using models for the spectral functions of current commutator matrix elements. The functions constructed fulfill the requirements of covariance, locality and spectrum conditions. Thus, the current algebra constraints can easily be imposed. In these models the formfactors are described by superpositions of poles. For simplicity only spin zero states are taken into account.     

含腔电大尺寸导体目标电磁散射的一体化数值模拟

应用等效原理，通过引入口面上等效磁流将含腔导电目标电磁散射简化为腔内、外两个等效 问题. 腔内问题分段求解并应用级联法获得口面等效导纳矩阵；腔内外的耦合关系应用近似 边界元方法描述并由此获得口面等效磁流；最后，这一具有混合源的腔体内外一体化散射问 题则应用所提出的广义混合场积分方程方法建立电磁模型，并用多层快速多极子方法实现高 效数值求解. 实例计算结果与测试结果具有很好的一致性. 关键词： 含腔目标 电磁散射 混合场积分方程 数值分析     

Analysis of each branch current of serial solar cells by using an equivalent circuit model

In this paper,based on the equivalent single diode circuit model of the solar cell,an equivalent circuit diagram for two serial solar cells is drawn.Its equations of current and voltage are derived from Kirchhoff’s current and voltage law.First,parameters are obtained from the I–V(current–voltage)curves for typical monocrystalline silicon solar cells(125 mm×125 mm).Then,by regarding photo-generated current,shunt resistance,serial resistance of the first solar cell,and resistance load as the variables.The properties of shunt currents(Ish1and Ish2),diode currents(ID1and ID2),and load current(IL)for the whole two serial solar cells are numerically analyzed in these four cases for the first time,and the corresponding physical explanations are made.We find that these parameters have different influences on the internal currents of solar cells.Our results will provide a reference for developing higher efficiency solar cell module and contribute to the better understanding of the reason of efficiency loss of solar cell module.     

Rotating high current arc

A high current arc (1–16 kA) of 5–20 ms duration is investigated, which rotates between two annular electrodes of variable distance (5–16 mm) at elevated pressures (0.1–1 MPa) in SF₆. The are is driven by the magnetic field of two ring-shaped coils in cusp geometry, one on either side of the electrodes. Both experiments and theoretical models concentrate on the investigation of the hot wake. The temperature, velocity, and size of the wake are determined by schlieren photography, streak records, and shock waves. A simple model is developed which yields a quantitative picture. The immediate surroundings of the transversely blown are can be described in terms of sucking in cold gas with associated heating and expansion, whereas the far-field region is governed by turbulent entrainment. The model involves only one empirical parameter: the entrainment coefficient α, which turns out to have a value of about 10⁻³.