Fast cavity-mode algorithm for analysis of radiation of power bus

It is very complicated to analyze the power-bus structure of the printed board circuit (PCB). Cavity-mode method is an effective way to analyze the power-bus structure of the printed board circuit, however, the algorithm is hard to converge. Therefore, the total computing time of the algorithm to analyze the power-bus of PCB is long. And the method is not applied to compute the radiation field of the structure. Based on the method, a fast cavity-mode algorithm was presented for analyzing the radiation emission problem of the power-bus structures in PCB design. In this method, the double series summation cavity-mode expression which is used to get the far-field characteristic of a parallel plane structures is simplified for using a Cauchy contour integration. The working condition of the method was deduced in our work. The convergence of the fast algorithm was obtained either. It is shown that this fast method is more efficient than the convention cavity-mode method for the small computation time, the high convergence and the same accuracy. Simple examples were analyzed to validate the proposed formulation.