2D generalized transmission-line equations for a microstrip cross

摘要

In this paper, a rigorous analysis for a microstrip cross is presented by using 2D generalized transmission-line equations. The 2D generalized transmission-line equation is developed from the 1D generalized transmission-line equation in [1], which was derived from circuit theory, while the equation coefficients are determined from full-wave numerical solutions. Although 1D generalized transmission-line equation can well model many microstrip structures, such as discontinuities and low-pass filters, it is confined to be used for those structures which can be regarded as 1D finite-length nonuniform transmission-line. For a microstrip cross, the novel 2D generalized transmission-line equation whose coefficients are determined by dynamic numerical methods can have broadband frequency characteristics. For the investigated microstrip cross, the S parameters for a frequency band from 4 GHz to 24 GHz can be calculated by using only one group of the 2D generalized equation at frequency of 14 GHz.