不等长非均匀有损耗传输线FDTD瞬态分析

以分析等长均匀无损耗多导体传输线的时域有限差分(FDTD)法为基础,在考虑传输线损耗的情况下,对不等长非均匀多导体传输线进行分析。首先,在考虑传输线损耗的情况下给出传输线上各点电压和电流的迭代计算公式;其次,利用该公式对不等长非均匀有损耗传输线模型进行数值计算和理论分析;最后,通过仿真实验,其结果表明所提计算方法是正确和有效的。该方法对不等长非均匀有损耗传输线的研究提供理论计算参考。     

Time-domain analysis of lossy multiconductor transmission lines based on the Lax–Wendroff technique

Taking advantage of the hyperbolic characteristics of the telegrapher equations, this paper applies the Lax–Wendroff technique, usually used in fluid dynamics, to transmission line analysis. A second-order-accurate Lax–Wendroff difference scheme for the telegrapher equations for both uniform and nonuniform transmission lines is derived. Based on this scheme, a new method for analyzing lossy multiconductor transmission lines which do not need to be decoupled is presented by combining with matrix operations. Using numerical experiments, the proposed method is compared with the characteristic method, the fast Fourier transform (FFT) approach, and the Lax–Friedrichs technique. With the presented method, a circuit including lossy multiconductor transmission lines is analyzed and the results are consistent with those of PSPICE. The nonlinear circuit including nonuniform lossy multiconductor transmission lines is also computed and the results are verified by HSPICE. The proposed method can be conveniently applied to either linear or nonlinear circuits which include general transmission lines, and is proved to be efficient.     

New high-frequency circuit model for coupled lossless and lossywaveguide structures

A coupled transmission line model describing the two fundamental modes of any two-conductor (above a ground plane or shielded) dispersive or nondispersive lossless waveguide system is given. The model is based on a power-current formulation of the impedances but does not need an a priori supposition about the power distribution over each transmission line. The analysis is extended to lossy structures and to the multiconductor situation. Impedance calculations for a typical coupled microstrip configuration are used to illustrate the approach     

Physically consistent transmission line models for high-speed interconnects in lossy dielectrics

The development of a physically consistent multiconductor transmission line model for high-speed interconnects in lossy, dispersive dielectrics is presented. Based on this model, a methodology is presented which constructs SPICE-compatible equivalent circuits that take into account dielectric loss and dispersion. Simulations using wideband measurement data of alumina demonstrate the effect of the Debye based permittivity model.     

非零初始状态传输线瞬态分析

本文结合付里叶变换和拉氏变换技术，得出了具有任意非零初始电压、电流分布的多导体传输线的等效时域线性网络模型，传输线可以为有耗丰均匀性，该模型可与常用电路分析软件接口，因而可处理非线性终端负载，给出了一个应用本文模型进行瞬态分析的例子。     

On the modeling of conductor and substrate losses inmulticonductor, multidielectric transmission line systems

Most models used for the analysis of lossy, multiconductor, multidielectric transmission line systems (MCMDTLSs) are noncausal and fail to accurately predict the signal distortion on practical printed circuits. The authors review the method of analysis and assumptions made in these models and present more accurate models. The authors solve for the time-domain response of a single, lossy, perfectly matched conductor above a ground plane and immersed in a perfect dielectric, assuming transverse electromagnetic (TEM) propagation. The authors also solve for the same line, except that the line is assumed to be perfect while the dielectric is lossy. The TEM mode propagates in such lines and no errors result from this assumption. A brief generalization to MCMDTLSs is described to illustrate the theory, and numerical examples are presented     

Multiconductor transmission-line characterization: Representations,approximations, and accuracy

This paper investigates a measurement method that characterizes lossy printed multiconductor transmission lines, its accuracy, the choice of measurement representations, and some simple approximations. We illustrate the method with measurements of a pair of lossy coupled asymmetric microstrip lines     

Electromagnetic wave transmission in a well logging cable-theory

A well logging cable is idealized as a uniform cylindrical structure consisting of N axial dielectric-coated thin wires in a lossy medium, all encased by a metallic sheath. A general modal equation which is specialized to low frequencies where quasi-static conditions prevail is developed. It is pointed out that the line parameters are spatially dispersive, in addition to being frequency dependent. The formulation differs from most multiconductor transmission theories because of the presence of the lossy filler material, which actually allows for a simplification of the working mode equation, which is an N-order polynomial     

Perturbed-TEM analysis of transmission lines with imperfectconductors

A perturbed-transverse electromagnetic (TEM) approach to studying the detailed current distribution and the propagation constant of a multiconductor transmission line system with imperfect conductors is discussed. The perturbed fields are derived assuming that the fields outside the conductors are TEM waves of the corresponding lossless system and those inside the conductors satisfy the transverse magnetic (TM) modal equations. These fields are then inserted into a perturbational formula to obtain the propagation constant of the lossy system. The current distribution and the propagation constant (which clearly illustrates the loss mechanism due to the skin effect and the proximity effect) of a lossy two-wire system are presented as an example     

Calculation of the characteristics of two-wire lines in multiconductor cables

A rigorous method is proposed for calculating the parameters of two-wire lines (twisted pairs) surrounded by a single metal shield and the mutual coupling between these lines. It is shown that coupling between the lines in multiconductor cables results in electromagnetic interference (crosstalk) in communications channels and that inphase currents in the lines are caused by the asymmetry of excitation and loads. The stray voltages induced across the impedances placed at the beginning and the end of an adjacent line are determined at a given power in the main line. The effect produced by the loads placed between the wires and the shield is considered. The proposed method allows generalization of the obtained results to the case of lossy multiconductor cables.     

多芯片组件带网孔接地板多导体互连线结构的电磁特性分析

本文给出一基于准静态场的直线法,来分析多芯片组件（ＭＣＭ）带有网孔接地板的多层多导体互连线结构的分析方法,以此提取等效传输线的特性参数。最后给出几个实例的计算结果。     

Fast transient analysis of incident field coupling to multiconductor transmission lines

Due to the rapid surge in operating frequencies and complexity of modern electronic designs, accurate/fast electromagnetic compatibility/interference analysis is becoming mandatory. This paper presents a closed-form SPICE macromodel for fast transient analysis of lossy multiconductor transmission lines in the presence of incident electromagnetic fields. In the proposed algorithm, the equivalent sources due to incident field coupling have been formulated so as to take an advantage of the recently developed delay extraction based passive transmission line macromodels. Also, a method to incorporate frequency-dependent per-unit-length parameters is presented. The time-domain macromodel is in the form of ordinary differential equations and can be easily included in SPICE like simulators for transient analysis. The proposed algorithm while guaranteeing the stability of the simulation by employing passive transmission line macromodel, provides significant speed-up for the incident field coupling analysis of multiconductor transmission line networks, especially with large delay and low losses.     

Time-domain response of multiconductor transmission lines

Evaluation of the time-domain response of multiconductor transmission lines is of great importance in the analysis of the crosstalk in fast digital circuit interconnections, as well as in the analysis of power lines. Several techniques for the computation of the line response, starting from the known circuit-theory parameters, are presented and evaluated. These methods are: time-stepping solution of the telegrapher equations, modal analysis in the time domain, model analysis in the frequency domain, and a convolution technique which uses line Green's functions. The last method can treat the most general case of lossy transmission lines with nonlinear terminal networks. Numerical and experimental results are presented to illustrate these techniques and to give insight into the crosstalk problems in fast digital circuits.     

Transient field coupling and crosstalk in lossy lines witharbitrary loads

We extend the transient scattering analysis of a lossy multiconductor transmission line to the evaluation of the interference produced by a field illuminating the line. The external interference is described by suitable voltage wave sources that are readily computed in the time domain and do not affect the structure of the transient scattering equations. The proposed formulation fully exploits the advantages of the transient analysis based on the line matched scattering parameters, dealing effectively with low-loss lines and helping the understanding of the interference mechanism through the physical interpretation of the results. The simplicity and efficiency of our approach is evidenced by means of a numerical example of the external interferences on a realistic nonlinearly loaded highly mismatched 3-conductor interconnect     

Admittance calculation of a slot in the shield of a multiconductortransmission line

The admittance calculation for a narrow slot in the conducting shield of a multiconductor transmission line (MTL) is presented. An approximate calculation is given for the admittance seen looking into a slot in the shield of a multiconductor transmission line when a uniform magnetic current is placed over the slot. The calculation presented is approximate in that only the transmission line mode is used in the calculation. All higher-order waveguide modes are neglected. This allows the magnetic current to be replaced by a point voltage source at the slot location. The admittance calculation then corresponds to calculating the driving point admittance of a point voltage source located in the shield of an MTL     

Transmission Modes in a Braided Coaxial Cable and Coupling to a Tunnel Environment

Radio frequency transmission in a semicircular tunnel containing a braided coaxial cable is considered. The general formulation accounts for both the ohmic losses in the tunnel wall and a thin lossy film layer on the outer surface of the dielectric jacket of the cable. Using a quasi-static approximation, it is found that the propagation constants of the low-frequency transmission line modes are obtained through the solution of a cubic equation. However, for the special case when the conductivity thickness product of the Iossy film layer vanishes, this cubic equation reduces to a quadratic. The spatially dispersive form of the braid transfer impedance is also accounted for. It is shown that the quasistatic theory is well justified for frequencies as high as 100 MHz for typical tunnel geometries. Finally, special characteristic impedances are derived for the various modes of the equivalent multiconductor transmission line.     

Experimental Characterization of Multiconductor Transmission Lines in the Frequency Domain

Although a number of papers have been published on the experimental characterization of multiconductor transmission lines, they are limited to the time domain for lossless multiconductor lines in homogeneous media. This paper presents a method for the characterization of multiconductor transmission lines in inhomogeneous media. The experimental technique for the measurement of multiconductor line parameters is presented and the appropriate multiconductor line equations are solved to obtain these parameters. The experimental method involves only the short-and open-circuit impedance measurements for different configurations. The experimental results for a four-conductor line are found to be in good agreement with computed results and a low-frequency lumped model.     

Efficient computation of high-frequency two-dimensional effects inmulticonductor printed interconnects

The spectral domain technique with a Galerkin moment method solution is used to study high-frequency, two-dimensional effects such as dispersion and leakage in multiconductor printed interconnects. A simple asymptotic procedure is used to significantly improve the convergence of oscillatory spectral integrals involving distant expansion and testing functions. Examples are given for leaky waves on two multiconductor printed transmission line geometries     

The Transverse Distribution of Surface Charge Densities on Multiconductor Transmission Lines

This paper is concerned with a problem which occasionally arises in the general area of multiconductor transmission line theory. In the past, the method of moments has been applied [1], [2] for the computation of transverse charge distribution and the capacitive-coefficient matrix for electrostatic systems formed by multiconductor transmission lines, with prescribed voltages on each line. But classically, there has been an interest in the related problem of finding the transverse charge distributions, given the net charge on each line [3], [4]. When the net charges are prescribed, conformalmapping techniques have been successfully employed in determining the charge distributions for certain special cases, e.g., the two-wire problem [5] and a planar grating [6]. The integral-equation formulation presented in this note for the charge distributions is applicable to a general system of parallel conductors, not necessarily in the same plane, as long as their net charges are prescribed. Another important application of this method lies in determining the field-coupling parameters when the multiconductor transmission line is illuminated by an external field.     

Approximate solution for propagation modes on lossy multiconductor transmission lines in inhomogeneous media

The letter gives an approximate solution for wave propagation on a system of lossy multiconductor transmission lines with small losses. The solution leads to a general expression for the attenuation factor matrix. The expression gives a correct result for the cases of two and three conductors and can be used for any number of conductors.