Cálculo de impedancia característica de líneas de cinta usando compresión espacial, diferencias finitas y algoritmos genéticos

Abstract

In this paper we computed the characteristic impedance of homogeneous Striplines with finite or infinite dielectric substrate, using the Finite Differences Method (FDM) and Spatial Compression (CE), with transformation functions found through Genetics Algorithms (GAs). The CE consist on the transformation of any plane transmission line domain with very different dimensions, in a rectangle in which the images of the dimensions maintain proportions that make easier the FDM application in an efficient way, without supposing that the dielectric substrate is infinite. The coefficients of the transformation were found using GAs. We obtained Characteristic Impedance values for lines with different relations of dimensions and for finite or infinite dielectric substrates. The results were compared with results found in the literature, obtaining good agreement.