A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
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DAC '98 Proceedings of the 35th annual Design Automation Conference
Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design
Analysis of full-wave conductor system impedance over substrate using novel integration techniques
Proceedings of the 42nd annual Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Operator splittings for the numerical solution of the maxwell's equations
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
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The finite-difference time-domain (FDTD) method of solving the full-wave Maxwell's equations has been recently extended to provide accurate and numerically stable operation for time steps exceeding the Courant limit. The elimination of an upper bound on the size of the time step was achieved using an alternating-implicit direction (ADI) time-stepping scheme. This greatly increases the computational efficiency of the FDTD method for classes of problems where the cell size of the three-dimensional space lattice is constrained to be much smaller than the shortest wavelength in the source spectrum. One such class of problems is the analysis of high-speed VLSI interconnects where full-wave methods are often needed for the accurate analysis of parasitic electromagnetic wave phenomena. In this paper, we present an enhanced FDTD-ADI formulation which permits the modeling of realistic lossy materials such as semiconductor substrates and metal conductors as well as artificial lossy materials needed for perfectly matched layer (PML) absorbing boundary conditions. Simulations using our generalized FDTD-ADI formulation are presented to demonstrate the accuracy and extent to which the computational burden is reduced by the ADI scheme.