Efficient modeling of power planes in computer packages using the finite difference time domain method

Recent advancements in electronic packaging, that have led to the development of high speed devices with increasingly high interconnect densities, have precipitated the need to incorporate high frequency effects in the modeling of these structures. The Finite Difference Time Domain (FDTD) method is not only well-suited for handling the complex geometries involved, but is also useful for generating the desired frequency response with a single simulation. In this paper, we describe several techniques for improving the computational efficiency of the conventional FDTD algorithm as applied to the problem of modeling complex power plane geometries. We also show how the time domain response can be processed to extract equivalent circuits that are valid in the high frequency regimes up to several GHz, and are suitable for use in circuit simulators. >

[1]  J. M. Jong,et al.  Equivalent circuit modeling of interconnects from time domain measurements , 1992 .

[2]  B. Beker,et al.  Detailed FD-TD analysis of electromagnetic fields penetrating narrow slots and lapped joints in thick conducting screens , 1988 .

[3]  J. Litva,et al.  Some considerations for using the finite difference time domain technique to analyze microwave integrated circuits , 1993, IEEE Microwave and Guided Wave Letters.

[4]  Albert E. Ruehli,et al.  Three-dimensional interconnect analysis using partial element equivalent circuits , 1992 .

[5]  Raj Mittra,et al.  Time-domain electromagnetic analysis of interconnects in a computer chip package , 1992 .

[6]  Y. Hua,et al.  Generalized pencil-of-function method for extracting poles of an EM system from its transient response , 1989 .

[7]  Y. E. Yang,et al.  Modeling and analysis of vias in multilayered integrated circuits , 1993 .

[8]  Raj Mittra,et al.  A combination of FD-TD and Prony's methods for analyzing microwave integrated circuits , 1991 .

[9]  G. Mur.  Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations , 1981, IEEE Transactions on Electromagnetic Compatibility.

[10]  Raj Mittra,et al.  Equivalent circuits for multiconductor microstrip bend discontinuities , 1993 .

[11]  Raj Mittra,et al.  FDTD signal extrapolation using the forward-backward autoregressive (AR) model , 1994, IEEE Microwave and Guided Wave Letters.

[12]  Raj Mittra,et al.  A general purpose Maxwell solver for the extraction of equivalent circuits of electronic package components for circuit simulation , 1992 .

[13]  R. Holland.  Finite-Difference Solution of Maxwell's Equations in Generalized Nonorthogonal Coordinates , 1983, IEEE Transactions on Nuclear Science.