An accurate analysis of numerical dispersion for 3-D ADI-FDTD with artificial anisotropy

✍ Scribed by Kumar Vaibhav Srivastava; Vishwa V. Mishra; Animesh Biswas

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 226 KB
• Volume: 49
• Category: Article
• ISSN: 0895-2477
• DOI: 10.1002/mop.22961

✦ Synopsis

Abstract

In this article, an accurate numerical dispersion relationship is developed for 3‐D alternating direction implicit finite difference time domain (ADI FDTD) with artificial anisotropy. The numerical dispersion relation with accurate mathematical model helps to calculate the anisotropic parameters, which are used to control the error of the numerical phase velocity. Numerical example shows that the proposed method helps to reduce the numerical dispersion significantly. The effects of anisotropic parameters on the numerical dispersion with different mesh resolution, courant number, and cell dimension ratio, are shown for three‐dimensional anisotropic ADI‐FDTD. A comparison has been made for anisotropic ADI FTDD and conventional ADI FDTD in terms of accuracy and CPU time for the calculation of resonant frequencies of rectangular cavity. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 3109–3112, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22961