Modeling of Electromagnetic Fields in High Speed Electronic Interconnects Using a Least Squares FD-TD Algorithm

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A new Finite-Surface Time-Domain (FS-TD) numerical method is presented which is a generalization of the classical Finite-Difference Time-Domain (FD-TD) method of Yee. The method is divergence/charge preserving on arbitrary grids. It reverts to the standard FD-TD scheme on orthogonal meshes. The method is based on a dual mesh formalism which makes use of a staggered (in space as well as time) data storage scheme. The method conserves charge by making use of an appropriate least squares reconstruction scheme in order to recover vector fields from the dot products of the field with cell (either primary or secondary) area normal vectors. Numerical results demonstrating the accuracy and the eÆcacy of the new method are presented.

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Journal: TechConnect Briefs
Volume: 1, Technical Proceedings of the 2001 International Conference on Modeling and Simulation of Microsystems
Published: March 19, 2001
Pages: 602 - 605
Industry sector: Sensors, MEMS, Electronics
Topics: Modeling & Simulation of Microsystems
ISBN: 0-9708275-0-4