The asymptotic behavior of conformal modules of quadrilaterals with applications to the estimation of resistance values

Abstract

We consider the conformal mapping of "strip-like" domains and derive a number of asymptotic results for computing the conformal modules of an associated class of quadrilaterals. These results are then used for the following two purposes: (a) to estimate the error of certain engineering formulas for measuring resistance values of integrated circuit networks

and (b) to compute the modules of complicated quadrilaterals of the type that occur frequently in engineering applications.