N-port network for the electromagnetic modeling of mems switches

✍ Scribed by E. Perret; H. Aubert; R. Plana

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 145 KB
• Volume: 45
• Category: Article
• ISSN: 0895-2477
• DOI: 10.1002/mop.20718

✦ Synopsis

with Battle-Lemarie scaling functions, 6 th -and 10 th -order centered differences are very close to the accuracy limit. It agrees with the theoretical evaluation.

Therefore, the 6 th -order accurate method can sufficiently eliminate the numerical-dispersion error of the ADI-FDTD method, which is caused by approximating the spatial derivatives using the finite-difference method.

6. Conclusions

In this paper, we have developed a high-order ADI-FDTD method by approximating the spatial derivatives of the ADI-FDTD method with Battle-Lemarie scaling functions and high-order centered differences. It has been proved that the method is unconditionally stable. The numerical dispersion of the high-order ADI-FDTD method with different schemes and the accuracy limit of the ADI-FDTD method for a given time-step size have been derived. It was found that the numerical dispersion is improved. In addition, it was observed that the numerical-dispersion error is very close to the accuracy limit at any mesh density when the 6 th -order centered difference is applied.