We consider a model explicit fourth-order staggered finite-difference method for the hyperbolic Maxwell's equations. Appropriate fourth-order accurate extrapolation and one-sided difference operators are derived in order to complete the scheme near metal boundaries and dielectric interfaces. An eige
An Explicit Fourth-Order Orthogonal Curvilinear Staggered-Grid FDTD Method for Maxwell's Equations
✍ Scribed by Zhongqiang Xie; Chi-Hou Chan; Bo Zhang
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 247 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
The explicit fourth-order staggered finite-difference time-domain scheme, previously proposed for a Cartesian grid, is extended to Maxwell's equations in an orthogonal curvilinear coordinate system and applied to electromagnetic wave problems. A simple technique is also presented for generating orthogonal curvilinear grids that conform to the material boundaries and interfaces of the problem. Numerical experiments are presented to illustrate the efficiency and accuracy of the method.
📜 SIMILAR VOLUMES
## Abstract This article presents an explicit fourth‐order accurate Finite Difference Time Domain (FDTD) method, in which the fourth‐order accurate staggered Adams‐Bashforth time integrator is used for temporal discretization and the fourth‐order accurate Taylor Central Finite Difference scheme for