This paper presents a wideband modeling methodology for on-chip coplanar single and coupled transmission lines over the conductive silicon substrate. Cost effective, semi analytical models have been developed, being purely based on explicit expressions. Silicon substrate induced loss and dispersion effects are considered, as well as the skin and proximity effects, while accounting for thick met...

Abstract—An efficient numerical solution is presented for computing per-unit-length impedance of metallic rectangular transmission lines backed by semi-infinite lossy substrate. We formulate the problem into the set of integral equations, the kernel of which is analytically expressed in terms of special functions in the quasi-static regime. The method of moments is applied to find the current d...

A new impedance boundary condition method for calculating the series impedance of lossy quasi-TEM transmission lines is presented. Previous techniques using a more standard impedance boundary condition are typically limited to high frequency where the impedance boundary conditions can be easily approximated due to its localized characteristics in that limit. The new impedance boundary condition...

A method is proposed for analysis of arbitrarily loaded lossy and dispersive nonuniform single or coupled transmission lines. In this method, all the per-unit-length parameters or matrices of the single or coupled lines and also the voltages and currents along the length of them are expanded in Taylor’s series. The solutions of voltages and currents are obtained after finding unknown coefficien...

A method is proposed for analysis of arbitrarily loaded lossy and dispersive nonuniform single or coupled transmission lines. In this method, the transmission lines are subdivided to several uniform sections, at first. Then the voltage and current distributions are obtained using second order step-by-step numerical integration (second order finite difference method). The accuracy of the method ...

Abst ract We describe an eecient algorithm for the time-domain simulation of elements described by causal impulse responses. The computational bottleneck in the simulation of such elements is the need to compute convolutions at each time point. Hence, direct approaches for the simulation of such elements require time O(N 2), where N is the length of the simulation. We apply ideas from approxima...

As studied by Jaulent in 1982, the inverse problem of lossy electric transmission lines is closely related to the inverse scattering of Zakharov-Shabat equations with two potential functions. Focusing on the numerical solution of this inverse scattering problem, we develop a fast one-shot algorithm based on the Gelfand-LevitanMarchenko equations and on some differential equations derived from t...

A review is presented of the electrical characteristics of highdensity, high-performance interconnections used in digital and communication applications. These interconnections behave as lossy transmission lines for the frequency range of interest. A brief theoretical explanation of the key properties of lossy, coupled transmission lines is given. A new short-pulse propagation technique used fo...

A software shell is being developed for assisting in VLSI package design. Called Packaging Design Support Environment, the shell integrates tools for modeling and simulation of electrical characteristics of VLSI packages. Parameter extractors tools calculate inductance and capacitance for multiconductor, multi-dielectric, two-dimensional structures with lossy dielectrics. The simulation tools c...

In this study an efficient approach is presented for the transient simulation of lossy, frequency-dependent multiconductor transmission lines. The method is based on the approximation of the modal scattering parameters of the system. Rational function approximation and recursive convolution are used to generate the time-domain stamps of the multiconductor system