Sk. Das et Wt. Smith, APPLICATION OF ASYMPTOTIC WAVE-FORM EVALUATION FOR ANALYSIS OF SKIN-EFFECT IN LOSSY INTERCONNECTS, IEEE transactions on electromagnetic compatibility, 39(2), 1997, pp. 138-146
Asymptotic waveform evaluation (AWE) is a recently developed technique
for time-domain analysis of electrical interconnects, AWE is a comput
ationally efficient method that asymptotically. approximates the respo
nse of a large system with a lower-order transfer function. In this pa
per, asymptotic waveform evaluation is used to analyze lossy interconn
ects including the skin effect. The internal impedance of the intercon
nect conductors varies as a function of the square root of the frequen
cy. First, an overview of AWE is presented, The AWE formulation for mo
deling frequency dependent loss in the conductors is derived using two
different series expansions of the system response at both s=0 and s
not equal 0 in the Laplace domain. The expansions for s not equal 0 ar
e determined using a transfer function formulated for inclusion of the
frequency-dependent internal impedance. The network response is compu
ted by extracting the dominant pales and residues using the Pade appro
ximation. The proposed method is evaluated using time-domain examples
of lossy multiconductor transmission lines.