Scattering by a homogeneous anisotropic-coated conducting elliptic cylinder

A solution to the two-dimensional scattering properties of a conducting elliptic cylinder coated with a homogeneous anisotropic elliptical shell is obtained. The conducting elliptic cylinder and the shell have the same eccentricity. The transmitted and scattered fields of the anisotropic shell are expressed as Mathieu functions in elliptic coordinates. The unknown coefficients of the scattered and transmitted fields are solved with the aid of the boundary conditions and the Galerkin's method. Only the transverse magnetic (TM) polarization is presented and the transverse electric (TE) polarization can be obtained in the same way. Some numerical results are presented and discussed. As expected the result is in agreement with that available when the coated elliptic cylinder degenerates to a coated circular one.     

Electromagnetic field perturbation by an internal void in a conducting cylinder excited by a wire loop

A thin prolate spheroidal void in an infinite conducting circular cylinder is used to model an internal flaw in a wire rope. The rope is excited by an electric ring current which is a model for a thin solenoid or multi-turn wire loop. The anomalous external fields are computed from the induced electric and magnetic dipole moments of the void. For this type of excitation, the induced axial magnetic dipole moment is the dominant contributor to the scattered field. The results have application to nondestructive testing of wire ropes.     

Scattering of ultrasonic waves by void inclusions

The Local Interaction Simulation Approach (LISA) has been applied to study the propagation of ultrasonic pulses in materials containing void inclusions. First the case of a single scatterer has been considered, with the conclusion that a void must be represented by at least four cells of the discretization lattice. Then the case of ultrasound propagation in a material with both a regular and random distribution of inclusions has been studied. Interesting interference effects have been obtained and it can be concluded that in both cases LISA allows reliable and efficient simulations to be performed.     

均匀椭球粒子对拉盖尔-高斯光束的散射特性研究

基于广义Mie理论, 研究了椭球粒子对在轴入射的拉盖尔-高斯光束的散射特性. 通过局域近似法求解椭球坐标系中的波束因子, 计算得到了波束因子之间满足的普遍关系. 对散射强度随椭球粒子不同尺寸参数和扁圆程度的变化特性进行了数值计算, 并针对不同拓扑荷时的散射强度进行了对比分析. 结果表明: 当椭球粒子尺寸在与入射光波长可比拟的范围内变化时, 散射强度随尺寸参数的增大而增大, 随椭球长短轴之比和拓扑荷的增大而减小. 本文的理论研究能够为拉盖尔-高斯光束在粒径测量、大气激光通信、 大气遥感等领域的应用提供更准确的粒子模型和参考价值. 关键词： 椭球粒子 拉盖尔-高斯光束 波束因子 散射强度     

The ballast resistor; An electro-thermal instability in a conducting wire II; Fluctuations around homogeneous stationary states

The correlation function of temperature fluctuations around homogeneous stationary states of the ballast resistor is evaluated by extending the theory of thermal fluctuations around equilibrium states to non-equilibrium situations. It is found that equal-time temperature fluctuations become correlated over large distances if one approaches the critical point. At the “critical point” of the ballast resistor the correlation length and the amplitude of the temperature fluctuations diverge. Furthermore the theory predicts a critical slowing down for the time-dependent temperature fluctuation correlation function. The electric noise of the system is also analyzed.     

A boundary-value problem for dielectric spherical void in a homogeneous insulator by considering surface conductivity

In this paper, the boundary-value problem satisfying the Dirichlet condition has been solved for the case of a dielectric, spherical void inside a homogeneous insulator by considering surface conductivity. Mathematical equations have been derived to calculate the respective electric fields E_i(t)and E_e(t) inside and outside spherical gas voids that exist within an insulator by considering the surface conductivity γ_s of gas voids having an electric permittivity of ε_i and conductivity γ_i under DC (ωτ⪡1) and AC (ωτ⪢1) conditions. The expression for the dipole moment of a polarized spherical dielectric particle has been obtained in accordance with the determined electric field E_i(t). The derived expressions are then applied to calculate reciprocal interaction force between the spherical particle and metallic electrodes, which is very considerable for the dielectric separation processes in the DC and AC cases.     

基于声发射技术的钢丝绳断丝模式识别

基于大量实验及波形分析,给出钢丝绳断丝事件的声发射（ＡＥ）定量化表征形式．采用类内类间距离和二维图示方法综合选择ＡＥ特征,并根据其分布情况建立起基干Ｆｉｓｈｅｒ准则的分段线性分类器,以实现断丝事件的自动检测．     

Scattering of electromagnetic waves by a perfectly conducting body with a chiral coating

We propose a numerical method for solving problems of electromagnetic scattering in the resonance spectrum of frequencies by a 3D ideally conducting arbitrary-shaped body covered by a homogeneous chiral coating. A program package for calculating the characteristics of the scattered field and checking the accuracy of the obtained solution based on the above method is described briefly. Some results of numerical calculations are given, which are useful for a study of the influence of “chirality” on the scattering properties of absorbing coatings. Siberian Physical-and-Technical Institute at Tomsk State University, Tomsk, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 41, No. 4, pp. 495–506, April, 1998.     

Scattering of electromagnetic waves by a layer of air plasma surrounding a conducting cylinder

In this paper, the total scattering and back-scattering cross-sections (respectively represented by and _b) of an air plasma layer surrounding a conducting cylinder are studied. The plasma layer can be turned ON and OFF to allow for a comparison between the scattering cross-section of the bare cylinder and the plasma covered cylinder. The plasma layer is generated at atmospheric pressure, which results in a very highly collisional case. The scattered fields are calculated using a cylindrical expansion, with coefficients satisfying the appropriate boundary conditions, and which are a function of the refractive index of the air plasma. The results of our study are presented as plots of the total scattering cross-section, , and back-scattering cross-section, _b, versus frequency. The scattering cross-section gives an average characteristic of the scattering process from obstacles. Once the scattering cross-section is known, the actual scattered energy per unit length per second can be calculated by multiplying by the incident energy per unit area per second.     

Transition from homogeneous to inhomogeneous flows in a lattice-gas binary mixture of slender particles

We study the unidirectional flow of a binary mixture of biased-random walkers on a square lattice under a periodic boundary. The lattice-gas mixture consists of two types of slender particles (walkers) which have different biases (drift coefficients). When the density is higher than a critical value, a dynamical transition occurs from the homogeneous flow to the inhomogeneous flow and clogging appears. The inhomogeneous state returns to the homogeneous congested flow with further increasing density. The clogging does not appear in the unidirectional flow of the conventional lattice-gas binary mixture of single-site particles. The jamming (clogging) transition is clarified for various sizes of slender particles.     

Use of an anisotropic absorber for simulating electromagnetic scattering by a perfectly conducting wire

A perfectly matched anisotropic absorber (PMAA) is used as a new type of medium in a formalism previously developed for investigating diffraction from an inhomogeneous isotropic aperture in a thick metallic screen. In this paper we consider that the aperture consists of five homogeneous regions: PMAA, transparent dielectric, perfect conductor, transparent dielectric and PMAA. This configuration could allow us to simulate a conducting cylinder of rectangular section in open space and it sets the basis for further extensions of the method to other geometries. We present near and far field simulations for different geometrical and constitutive parameters of the PMAA regions. The results seem to indicate that this new medium could be used to represent a lateral open space, thus enhancing the modal method and making it suitable to simulate scattering problems of finite objects.     

Dynamic electromagnetic response of a homogeneous conducting cylinder for symmetric excitation

A stranded wire rope is idealized as a homogeneous conducting and permeable cylinder of circular cross section and of infinite length. The rope is excited by a coaxial solenoid or finite-length multi-turn coil that carries an azimuthally directed alternating current. The rope and the enclosing solenoid may have a uniform velocity relative to each other. Using a nonrelativistic analysis, the nature of this dynamic interaction is examined and numerical results are presented for parameter values that are relevant to both static and dynamic conditions in nondestructive testing of such cylindrical conductors. It is shown that for motional velocitiesv larger than about 50 m/s the dynamic interaction with the rope specimen is appreciably modified from that for the static condition (i. e., forv=0).     

Scattering of a plane wave by a nonlinear load array on a perfectly conducting shield covered by a dielectric layer

The problem of plane wave scattering by a nonlinear load array on a perfectly conducting shield covered by a homogeneous dielectric layer is solved by the integral equation method. The influence of the coating parameters on the array reflection coefficients at the fundamental and third harmonics of the incident wave are studied numerically. Taganrog Radiotechnical University, Taganrog, Russia Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 43, No. 6, pp. 545–551, June, 2000.     

Scattering mechanisms of charge carriers in transparent conducting oxide films

Scattering mechanisms of charge carriers in Transparent Conducting Oxide (TCO) films have been analyzed theoretically. For the degenerate polycrystalline TCO films with relatively large crystallite sizes and high carrier concentrations (higher than 5 × 10¹⁸ cm^–3), the depletion layers between crystallites are very thin compared to the crystallite sizes, and the grain boundary scattering on electrical carriers makes a small contribution to limit the mobility of the films. Instead of thermionic emission current, a tunneling current dominates the electron transport over grain boundaries. The Petritz model which is based on thermionic emission and extensively quoted in literature should not be applicable. The main scattering mechanisms for the TCO films are ionized impurity scattering in the low-temperature range and lattice vibration scattering in the high-temperature range. The ionized impurity scattering mobility is independent of temperature and the mobility due to thermal lattice vibration scattering is inversely proportional to the temperature. The results obtained from Hall measurements on our ZnO, ITO, SnO₂ and SnO₂:F films prepared with various methods supports the analysis.     

Numerical study of perfectly conducting wire gratings in the resonance domain

Using the Hamiltonian method that we have recently proposed [1, 2] and which is described in the IEEE transactions on antennas and propagation [3], we give some theoretical data related to perfectly conductor wire gratings. Phase-shift and efficiency are given for several diffraction orders, for four shapes of cross-section, and for both fundamental cases of polarization.     

在均匀磁场中旋转的导体厚球壳上电荷的分布--证明在磁场中转动的导体表面电荷分布无普遍公式

用简单方法求出了在均匀磁场中旋转的导体厚球壳上电荷的分布,证明了在磁场中转动的导体表面电荷分布无普遍公式。     

An electrothermal instability in a conducting wire: Homogeneous and inhomogeneous stationary states for an exactly solvable model

An exactly solvable model of the ballast resistor is considered. Analytic expressions are obtained for the nonuniform stationary temperature distributions and the correspondingI–V characteristics. A bifurcation point for Neumann boundary conditions is found and its analytic properties are discussed. It is found that the infinite wire limit plays a role analogous to the thermodynamic limit in statistical mechanics for equilibrium phase transitions.Dedicated to the memory of our colleague and friend Pierre Résibois.