## Abstract We introduce a new, alternative form of the 3‐D alternating direction implicit finite‐difference time‐domain (ADI‐FDTD) algorithm that has a number of attractive properties for electromagnetic simulation. We obtain a leapfrog form of the time‐advance equations, where the E and H fields
A novel numerical dispersion formulation of the 2D ADI-FDTD method
✍ Scribed by Qing-Xin Chu; Lin-Nian Wang; Zhi-Hui Chen
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 152 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1096-4290
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✦ Synopsis
A novel dispersion formulation of the 2D alternating-direction implicit (ADI) finite-difference time-domain (FDTD) method is presented. The formulation is based on an increasing process analysis of the monochromatic wave in free space. A numerical experiment scheme is designed to verify the accuracy of the proposed formulation. The results obtained from the proposed formulation are in a good agreement with those from the numerical experiments, and the proposed formulation is more accurate than those reported in the literature. V
📜 SIMILAR VOLUMES
## Abstract The relationship of the numerical dispersion relation presented in different mathematical expressions (that are independently derived in 1, 2) for the three‐dimensional alternating direction implicit finite‐difference time‐domain (3D ADI‐FDTD) method is investigated. It is found that, u
## Abstract It is well known that the numerical dispersion relations of all kinds of finite‐difference time‐domain (FDTD) methods, including the conventional FDTD and alternating‐direction implicit (ADI) FDTD methods, are derived from the assumption of plane wave. In the past, however, disregarding
## Abstract We propose a new adaptive alternating‐direction implicit finite‐difference time‐domain (ADI‐FDTD) to reduce the anisotropy in the numerical phase velocities. The proposed form has two anisotropic parameters on the first order terms of the time step and one parameter on the second order
## Abstract The numerical dispersion of a proposed new FDTD scheme is often evaluated and compared with that of well‐established FDTD methods. Because there may be a theoretical deficiency in the dispersion analysis, numerical experimentation is often used to validate the dispersion relation. This