Synthesis of time-domain models for interconnects having 3-D structure based on FDTD method

This work describes an efficient method to simulate transient responses of multilayer and multiconductor interconnects having three-dimensional structure. First, the impulse responses between any pair of terminals of lines are obtained by the finite-difference time-domain (FDTD) method, Next, the frequency responses are obtained by the Fourier transform of these transient waveforms. The time-domain models are synthesized from the frequency responses by using the least-square approximation and the complex frequency-hopping technique. Finally, with this model, the transient responses are rapidly simulated by the conventional circuit simulators. In conclusion, the validity of this method is verified by comparison with the time-consuming FDTD simulation.

[1]  Fung-Yuel Chang.  The generalized method of characteristics for waveform relaxation analysis of lossy coupled transmission lines , 1989 .

[2]  M. Celik,et al.  Efficient transient simulation of lossy packaging interconnects using moment-matching techniques , 1996 .

[3]  C. Durney,et al.  Extending the two-dimensional FDTD method to hybrid electromagnetic systems with active and passive lumped elements , 1992 .

[4]  Hideki Asai,et al.  Relaxation-Based Transient Analysis of Lossy Coupled Transmission Lines Circuits Using Delay Evaluation Technique , 1997 .

[5]  Michel S. Nakhla,et al.  Delay and crosstalk simulation of high-speed VLSI interconnects with nonlinear terminations , 1993, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[6]  D. M. Sheen,et al.  Application of the three-dimensional finite-difference time-domain method to the analysis of planar microstrip circuits , 1990 .

[7]  Wojciech Gwarek,et al.  Analysis of arbitrarily shaped two-dimensional microwave circuits by finite-difference time-domain method , 1988 .

[8]  Michel S. Nakhla,et al.  Analysis of interconnect networks using complex frequency hopping (CFH) , 1995, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[9]  Hideki Asai,et al.  Acceleration Techniques for Waveform Relaxation Approaches to Coupled Lossy Transmission Lines Circuit Analysis Using GMC and GLDW Techniques (Special Section on Nonlinear Theory and its Applications) , 1996 .

[10]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .