A Rigorous and Efficient Analysis of 3-D Printed Circuits: Vertical Conductors Arbitrarily Distributed in Multilayer Environment

The combination of the method of moments and the discrete complex image method is extended to multilayered printed circuits with vertical conductors crossing more than one layer and/or located in different layers. Some realistic printed circuits with multilayered vertical strips are analyzed, and results are compared either to those presented in the literature or to those obtained from the commercial software em by SONNET Software, North Syracuse, NY. In addition, it is demonstrated that this extension has facilitated the use of a recently developed algorithm, which was specifically developed for the efficient handling of multiple vertical conductors, for the analysis of structures with multiple vertical strips running in multilayer environment.