Spectral domain approach of microstrip open-end and gap discontinuities using new pulses with strongly decaying spectrum

Abstract

This paper develops a solution to the problem of a rectangular microstrip open-end and gap discontinuities. In this solution the integral equation is formulated in the spectral domain for the microstrip open-end and gap discontinuities on an infinite dielectric substrate. The integral equation is solved by the Galerkin's method. The choice of the basis functions is important in achieving a highly efficient numerical solution. Therefore, in this work we propose two new classes of pulses with strongly decaying spectrum that were recently introduced as piecewise basis functions for the spectral domain approach : the Raised Cosine Pulse and the Cubic Pulse, respectively referred RC(x) C(x).