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The DC mode is a fundamental mode that comprises the solution of Maxwell's equations in a physical problem. We present a rigorous divide-and-conquer algorithm to extract the DC mode efficiently from an arbitrary 3-D problem where both dielectrics and conductors can be arbitrarily shaped, inhomogeneous, lossy, and dispersive. Numerical experiments have demonstrated the validity of the proposed algorithm.
The “optimal” speedup of an explicit and unconditionally stable time-domain method is the ratio of the time step required by accuracy to the time step required by stability, without sacrificing accuracy. In this work, by significantly accelerating the explicit time-marching based revealing of the stable modes for any given time step, we demonstrate that it is feasible to achieve a more than “optimal”...
In this work, the authors developed a fast electromagnetics-based nonlinear-linear co-simulation algorithm based on a recently developed time-domain orthogonal finite-element reduction-recovery method (OrFE-RR). In this method, the linear part and the nonlinear part are naturally decoupled due to the diagonal matrix in the single surface system. Meanwhile, as the devices are usually not connected...
A fast electromagnetic simulator is developed to co-simulate the linear network and nonlinear circuits in an integrated circuit system. In this simulator, the physical layout of a large-scale linear network is rigorously reduced to a single surface or a few surfaces where the nonlinear circuits are located. The reduction is done analytically, and, hence, the computational overhead is minimal. The...
The scaling of supply voltages and the increased level of integration have conspired to make the analysis and design of microelectronic systems increasingly challenging. The impact of dynamic noise due to signal switching, die-package coupling, power management techniques, substrate coupling, etc., can been seen at all levels of a power delivery network, from chip to package to mother board to the...
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