One-Step Leapfrog ADI-FDTD Method Including Lumped Elements and Its Stability Analysis

Author

Wang, Xiang-Hua ; Yin, Wen-Yan ; Chen, Zhizhang ; Yang, Shun-Chuan

Author_Institution

Centre for Opt. & Electromagn. Res. (COER), Zhejiang Univ., Hangzhou, China

Volume

11

fYear

2012

fDate

7/4/1905 12:00:00 AM

Firstpage

1406

Lastpage

1409

Abstract

A one-step leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method including lumped elements is presented. The method is originated from the conventional ADI-FDTD method, but without mid-time-step computations. Its unconditional stability is analytically proven by combining the von Neumann method with the Jury criterion. In addition, its unconditional stability and high computational efficiency are verified through numerical experiments.

Keywords

finite difference time-domain analysis; stability; computational efficiency; jury criterion; leapfrog ADI-FDTD method; leapfrog alternating direction implicit finite difference time domain method; lumped elements; unconditional stability analysis; von Neumann method; Capacitors; Finite difference methods; Numerical stability; Polynomials; Stability criteria; Time domain analysis; Alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method; leapfrog; lumped element; one-step; unconditional stability;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2012.2229456

Filename

6359751