ELECTROMAGNETIC MODELING WITH A NEW 3D ALTERNATING-DIRECTION-IMPLICIT (ADI) MAXWELL EQUATION SOLVER

Abstract

We introduce a time-domain method to simulate the digital signal propagation along on-chip interconnects, aperture radiation, and indoor-communication by solving the Maxwell equation with the Alternating-Direction-Implicit (ADI) method. With this method, we are able to resolve the large scale (i.e. electromagnetic wave propagation) and fine scale (i.e. metal skin depth, substrate current, coating material) structure in the same simulation, and the simulation time step is not limited by the Courant condition. The simulations allow us to calculate in detail parasitic current flow inside the substrate; propagation losses, skin-depth and dispersion of digital signals on non-ideal interconnects; detailed surface current and standing wave pattern in aperture radiation problem; signal power map and propagation delay in complicated in-door communication scenarios