An efficient 2D/3D hybrid DGTD transient analysis for arbitrarily shaped anti-pads in power-ground plate-pair

An efficient hybrid 3D and 2D discontinuous Garlerkin time-domain (DGTD) methods is proposed for signal/power integrity analysis of multiple arbitrarily shaped anti-pads in power-ground. The entire structure is decomposed into anti-pad-domain (3D) and plate-domain (2D). Complicated fields exist around anti-pad, yet, in plate domain, only zeroth-order parallel-plate mode exists. Therefore, triangular prism element (3D) could be simplified as triangle element (2D), which has fewer unknowns. The accuracy of the hybrid method has been validated by comparison with commercial software. Its flexibility, and enhancement of efficiency, are also demonstrated.