Abstract
In this paper, we present a unit-cell-based domain decomposition method (UC-DDM) for rapid and accurate simulation of predicting the parallel plate noise (PPN) suppression of a truncated electromagnetic bandgap (EBG) structure in high-speed printed circuit boards (PCBs). The proposed UC-DDM divides the analysis domain of the truncated EBG structure into UCs as sub-domains. Solving a sub-domain is based on a novel UC model, yielding an analytical expression for the impedance parameter (Z-parameter) of the UC. The novel UC model is derived using a spatial decomposition technique, which results in the modal decomposition of quasi-transverse electromagnetic (TEM) and transverse magnetic (TM) modes. In addition, we analytically derive a impedance-parameter recombination method (ZRM) to obtain the analytical solution of a finite EBG array from the sub-domain results. The proposed UC-DDM is verified through comparison with full-wave simulation results for various EBG arrays. Comparison between the UC-DDM and a full-wave simulation of a truncated EBG structure reveals that a substantial improvement in computation time with high accuracy is achieved. It is demonstrated that the simulation time of the proposed method is only 0.1% of that of a full-wave simulation without accuracy degradation.
Highlights
Parallel plate noise (PPN) is a critical design consideration for high-speed printed circuit boards (PCBs)
The dimensions of the design parameters used were the values typically chosen in the conventional PCB process, where FR-4 and copper were used as the dielectric material and metal layer, respectively
The configuration of the port location in test vehicles (TVs) A is given in Figure 9, which is frequently employed for PPN suppression in high-speed
Summary
Parallel plate noise (PPN) is a critical design consideration for high-speed printed circuit boards (PCBs). The characteristics of PPN suppression in EBG structures are mainly predicted by dispersion analysis based on the Floquet theory [19,20], or scattering parameters (S-parameters) obtained by electromagnetic (EM) simulations. The dispersion analysis is not sufficient for the practical design of a truncated EBG structure suppressing PPN in high-speed PCBs. The other method is a full-wave EM simulation based on the finite element method (FEM), method of moment (MoM), and finite difference method (FDTD). We propose an efficient simulation method to predict the PPN suppression of a truncated EBG structure, improved on by the perforated plane technique in high-speed PCBs. The proposed method presents an analytical model of the EBG UC, and an impedance-parameter recombination method (ZRM) to obtain the S-parameters of a truncated PP-EBG structure containing a M-by-N (M × N) array.
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