Continuum (Analog) Analysis for Power Integrity
June 2010: Power Integrity (PI) analysis has traditionally been conducted using lumped, discrete elements and circuits, which lead to exponential simulation complexity, approximate models, and often, inaccurate results. In continuum-models based analysis, a chip power grid and distribution network is modeled as a continuous surface, employing distributed models for circuits and capacitance. This not only eliminates the exploding computational complexity for PI analysis in nanoscale chips, it facilitates physical, true-electromagnetic simulations for chips, packages, and 3D assemblies. Continuum-models based analysis is “analog” in the sense that a layer to be analyzed is treated as a spatial potential or voltage continuum, similar to analog signals being time-continuous in nature, as opposed to analyzing discrete elements and their interactions.