## Abstract A perfectly matched layer (PML) is constructed for two‐dimensional (2D) unconditionally stable (US) FDTD method based on an approximate Crank‐Nicolson scheme. This novel PML preserves unconditional stability of the 2D US‐FDTD method and has very good absorbing performance. Numerical res
The unconditionally stable Crank Nicolson FDTD method for three-dimensional Maxwell's equations
✍ Scribed by Y. Yang; R. S. Chen; Edward K. N. Yung
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 156 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
In this paper, an accurate and computationally implicit 3D finite-difference time-domain (FDTD) method based on the unconditionally stable Crank-Nicolson scheme (3D CN-FDTD) is presented. The source excitation in 3D CN-FDTD is described and the numerical simulation of the 3D CN-FDTD method is demonstrated through numerical examples. The results of this method, the ADI-FDTD method, and traditional FDTD schemes are compared. A good agreement is obtained for the 3D CN-FDTD method with time steps greatly more than the Courant-Friedrich-Levy (CFL) limit and the traditional Yee FDTD method.
📜 SIMILAR VOLUMES
## Abstract In this article, the iterative alternating‐direction‐implicit finite‐difference time‐domain (ADI‐FDTD) method is used to simulate the resonator in electromagnetic field. This method is exactly the same as the original Crank–Nicolson (CN) method, while recognizing the ADI‐FDTD method as
An unconditionally stable precise integration time-domain method is extended to 3-D circular cylindrical coordinates to solve Maxwell's equations. In contrast with the cylindrical finite-difference time-domain method, not only can it remove the stability condition restraint, but also make the numeri