AUTOMATIC-GENERATION OF ACCURATE CIRCUIT MODELS OF 3-D INTERCONNECT

In order to optimize high-speed systems, designers need tools that aut omatically generate reduced-order SPICE compatible models from geometr ic descriptions of interconnect and packaging, In this paper, we consi der structures small compared to a wavelength, and use a discretized i ntegral formulation combined with an Arnoldi-based model-order reducti on strategy to compute efficiently accurate reduced-order models from three-dimensional (3-D) structures. Several issues are addressed inclu ding: 1) formulation to insure passivity in the reduced-order models; 2) efficient reduction using preconditioned inner-loop iterative metho ds; 3) expansion about multiple s-domain points, Results are presented on several industrial examples to demonstrate the capabilities and sp eed of these new methods.