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.     

Modéles de lignes simples et couplées,idéales et à pertes,pour la CAO des circuits gigabits

This paper describes the principles underlying a library of single and coupled lines, ideal or lossy for the cad of interconnections in gigabit logic circuits. The models are based upon the quasi-TEM approximation, they exploit the method of characteristics and direct simulation in the time domain which give good calculation efficiency. The modeling of lossy coupled lines is original and utilizes modal decomposition in the time domain which may be performed in good approximation for coupled lines of equal widths. The models are integrated in the circuit simulator Macpro to perform the cad of circuit microstrip interconnections. Simulations including the response of the instrumentation are compared with the corresponding measurements on typical configurations of lossy coupled lines deposited on a semi-insulated GaAs substrate.     

Transient analysis of lossy parabolic transmission lines withnonlinear loads

The exact analytical expressions of the time-domain step response matrix parameters for the lossy parabolic transmission line are developed, therefore extending the range of problems where Allen's method can be applied for the transient analysis of networks consisting of interconnections of linear distributed elements, lumped linear and/or nonlinear elements, and arbitrary sources. For completeness, similar expressions are derived for the lossless parabolic line. In order to demonstrate the versatility of the techniques presented in this paper, we study the transient response of a lossy parabolic line subjected to the following sets of boundary conditions: 1) a unit step input and a linear load, and 2) a trapezoidal pulse generator and a nonlinear load     

多芯片组件互连瞬态响应的递归卷积法分析

根据ＭＣＭ互连线的特点,用一种简洁高效的技术对耦合有耗传输线去耦。在单根传输线的研究中,利用系统匹配法及递归法,方便有效地求得了特征导纳函数、特征指数函数的麦克荣林展式,然后用指数衰减多项式法求得其对应的时域函数。最后,利用多重极点递归卷积法求得了任意端接负载的时域响应。     

Analysis of pulse propagation on high-speed VLSI chips

A method for the analysis of lossy distributed interconnections on high-speed LSI/VLSI chips is presented. The method is based on a piecewise decomposition technique in which nonlinear branches are replaced by piecewise-linear time-dependent sources. Parameters of the piecewise-linear functions are computed iteratively so that the network's topological and constitutive relations are satisfied. Examples to illustrate the analysis algorithms are presented     

电磁脉冲斜入射时无限长近地细导线表面电流的计算

本文应用时域有限差分（FDTD）方法研究电磁脉冲斜入射下无限长细导线的表面感应电流,并考虑了有耗地面的影响,该问题可以转换为二维问题来计算,从而大大节约计算资源,文中给出了各种情况下的感应电流计算结果。     

Transient analysis of distortion and coupling in lossy coupledmicrostrips

The transient response of lossy coupled microstrips is studied using the spectral-domain approach (SDA) to rigorously compute the dielectric losses. The dielectric loss coefficient is computed using the SDA with a complex dielectric constant, and results are compared with those obtained by the formula advanced by M.V. Schneider (1969) using a finite-difference approximation for the partial derivative. Transient coupling is formulated in the frequency domain by an even/odd mode approach, showing how differences in either the modal loss coefficients or modal propagation constants can be responsible for coupling between lines. Results for pulse distortion on a semiconductor substrate are presented, showing how losses reduce the signal amplitude without significantly distorting the shape     

FDTDSIBC混合方法计算近地导线表面电流

通过在FDTD方法中引进时域表面阻抗界条件来研究瞬态电磁脉冲对有耗地面附近电缆线耦合问题。由频域表面阻抗出发通过拉氏变换得到时域表面阻抗边界条件（SIBC）,并将这种边界条件应用于FDTD方法中来模拟有耗地面的反射。计算结果表明了些方法的有效性。     

FDTD分析探地雷达天线的辐射特性

探地雷达系统一般采用超宽带短脉冲信号,因而其天线系统必须具有较好的宽带性能。只有几种类型的宽带天线能够用于探地雷达系统中,如电阻加载的蝶形天线、TEM喇叭天线及其变形形式。本文将给出一种新型的探地雷达天线,该天线为置于镜像面上且具有离散指数电阻加载的单偶极子。文中将采用FDTD计算和分析该天线在自由空间和有耗媒质上方时的辐射特性。结果表明,通过选择一定的电阻加载形式,可使天线具有较好的辐射波形,从而能够满足实际探地雷达的需要。最后,通过地下目标散射场的理论结果和实验结果说明了本文所采用方法的正确性。     

Plane wave coupling to multiple conductor transmission lines abovea lossy earth

The current induced on an infinite multiple conductor transmission line located above a lossy homogeneous medium due to a transient plane wave is discussed. An exact solution is formulated in the frequency domain using a spatial transform technique. The widely utilized quasi-TEM approximation is derived directly from the exact solution with emphasis on the physical consequences of the assumptions made. Both frequency domain and time domain numerical results are presented for typical transmission structures and documented electromagnetic pulse (EMP) excitations. Comparison of the quasi-TEM approximation to the exact solution is made in order to study the validity of its application in EMP coupling problems. The modeling of the EMP source as an incident plane wave is examined by comparing the induced current due to a dipole source with its steepest-descent contribution     

The finite difference method for S-parameter calculation ofarbitrary three-dimensional structures

Describes the application of the finite-difference method for the determination of scattering parameters of passive, arbitrary three-dimensional, lossy structures. Maxwell's equations are solved in the frequency domain by solution of a boundary value problem. The generalized S-parameters can be computed for any one port or two port structure, while dielectric and conductor losses are taken into account. Higher order mode coupling can be considered and different geometries are allowed at the input and output ports. Verification calculations are given and results are presented for typical structures     

A moment method solution for the shielding properties of three-dimensional objects above a lossy half space

In this paper, a moment method (MM) solution for analyzing the electromagnetic (EM) shielding properties of three-dimensional (3-D) lossy dielectric and magnetic objects over a lossy half space is presented. An MM, based on a volume formulation and a special Green's function in the spectral domain, is developed. Plane waves with TMz and TEz polarizations incident upon 3-D lossy material structures are demonstrated for the shielding effects of those bodies in the presence of a lossy ground. Some of the results are compared with those evaluated by applying the finite difference time domain method, and good agreements are obtained. The MM solution can be used to study the shielding problems for 3-D objects located above a lossy ground.     

Transient current propagation along a wire penetrating a circularaperture in an infinite planar conducting screen

The shielding properties of a wire penetrating an infinite planar screen are considered. Time domain results are presented for the case of a transient current pulse propagating along the wire. These results are obtained by first computing numerical solutions for the problem in the frequency domain and then utilizing the inverse Fourier transform. Two double exponential pulses with differing characteristics are considered. Numerical results for the two pulses are compared to determine the effects of the pulse characteristics on the shielding properties of the geometry. Applications to via structures in high-speed circuits are also briefly discussed. It is observed that even for very small apertures, the effect of the screen on the low-frequency pulse is negligible. As the pulse width decreases, the effect of the screen becomes more prominent. For the high-frequency case, the pulse is significantly affected by the screen. Unlike the low-frequency pulse, the amplitude of the high-frequency pulse is dependent on the aperture size. Even for large apertures, the attenuation becomes significant as the current propagates down the wire. It is shown that as the width of the input pulse decreases, the distortion in the pulse shape becomes more pronounced. This effect is especially important in applications related to high-speed integrated circuits     

PEEC Modeling of Dispersive and Lossy Dielectrics

In this paper a general formulation is presented for the time-domain partial element equivalent circuit method in a general dispersive medium. The formulation is based on Debye and Lorentz models where the resulting model is passive. The incorporation of such models into a partial element equivalent circuit solver is described by both convolution techniques and equivalent circuits. The new circuit models can be applied in the frequency as well as the time domain. Numerical examples are given to validate the proposed formulation and to show that the proposed method is accurately capturing the physics of dispersive and lossy dielectrics.      

Subnanosecond pulse propagation in a Goubau line immersed in a lossy dielectric medium

The distortion and attenuation of a subnanosecond pulse propagating along a Goubau line immersed in a lossy dielectric medium is considered in the letter. The pulse response characteristics of this line have been analysed by using a fast Fourier transform algorithm. The results of this investigation have important implications in the design of high-resolution guided-wave radar systems.     

Transient Analysis of the Electromagnetic Field for a Wave Absorber in Three-Dimensional Space

In recent years, large-scale structures such as tall buildings, large bridges, and towers cause severe reflection and diffraction in the propagation of electromagnetic waves. The most effective means for improvement of these characteristics is coating an electromagnetic wave absorber on the surfaces of structures. At the present time, determination of the performance of a coating and the estimation of its effects are carried out on a practical basis. Beforehand, however, theoretical clarification of absorbing characteristics is necessary for better design of a structure. This analysis demands the unified treatment involving both characteristics of absorber materials and the shapes in three-dimensional space of structures to which they are applied. Also, the analysis of propagation characteristics of a pulse wave in the time domain will be important. In this paper, we report the fundamental treatment of absorbing characteristics, including boundary conditions of the structure. The method of time-domain analysis in three-dimensional space and time is used. This method is formulated by Bergeron's method and based upon the equivalent circuit of both Maxwell's equation and characteristics of the medium. As an example, the performance of a very thin coating of absorber with magnetic loss is presented. The variations of field distribution for changes of magnetic-loss term including permeability and the frequency of incident wave, are shown. The absorbing characteristics for a pulse wave in the time domain are also given as a parameter of incidence angle.     

Application of asymptotic waveform evaluation for analysis of skineffect in lossy interconnects

Asymptotic waveform evaluation (AWE) is a technique for time-domain analysis of electrical interconnects. AWE is a computationally efficient method that asymptotically approximates the response of a large system with a lower-order transfer function. Asymptotic waveform evaluation is used to analyze lossy interconnects including the skin effect. The internal impedance of the interconnect conductors varies as a function of the square root of the frequency. First, an overview of AWE is presented. The AWE formulation for modeling frequency dependent loss in the conductors is derived using two different series expansions of the system response at both s=0 and s≠0 in the Laplace domain. The expansions for s≠0 are determined using a transfer function formulated for inclusion of the frequency-dependent internal impedance. The network response is computed by extracting the dominant poles and residues using the Pade approximation. The proposed method is evaluated using time-domain examples of lossy multiconductor transmission lines     

Comparison of fast photodetector response measurements by opticalheterodyne and pulse response techniques

Characterization of high-speed photodetectors by optical heterodyne and pulse response techniques is reported, and the results are compared. Scalar deconvolution was used to obtain photodetector response from the pulse response measurements with effects of the measurement apparatus removed. Linearity of the detector response is verified, validating comparison in the frequency domain using a Fourier transform of the pulse response data. The comparison is limited to the magnitude of the transfer function in the frequency domain, since the optical heterodyne technique does not give phase information. Both sets of results are corrected for the effects of their respective measurement systems. After these corrections, close agreement between results obtained by using the two techniques was found     

An efficient implementation of surface impedance boundaryconditions for the finite-difference time-domain method

An efficient way to implement the surface impedance boundary conditions (SIBC) for the finite-difference time-domain (FDTD) method is presented in this paper. Surface impedance boundary conditions are first formulated for a lossy dielectric half-space in the frequency domain. The impedance function of a lossy medium is approximated with a series of first-order rational functions. Then, the resulting time-domain convolution integrals are computed using recursive formulas which are obtained by assuming that the fields are piecewise linear in time. Thus, the recursive formulas derived here are second-order accurate. Unlike a previously published method [7] which requires preprocessing to compute the exponential approximation prior to the FDTD simulation, the preprocessing time is eliminated by performing a rational approximation on the normalized frequency-domain impedance. This approximation is independent of material properties, and the results are tabulated for reference. The implementation of the SIBC for a PEC-backed lossy dielectric shell is also introduced