The study of an electromagnetic scattering model for two adjacent trunks above a rough surface ground plane
✍ Scribed by Wang Xiande; Luo Xianyun; Zhang Zhongzhi; Fu Junmei
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 353 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-2477
No coin nor oath required. For personal study only.
✦ Synopsis
The method we have described here is successful in removing all singularities from the FDTD approximations of Maxwell's equation on spherical grids. In our procedure, the total computational space is divided into three regions: the singularity zone in which a Cartesian grid is used, the buffer zone in which both spherical and Cartesian grids are used, and the spherical grid zone. Using the standard spherical FDTD w x algorithm 1 , we solve for the fields at spherical grid points in the spherical zone and buffer zone. In the buffer zone, we interpolate from the spherical grid points to determine field values at near-neighbor rectangular points. Working then in Cartesian coordinates, field solutions are then obtained for the singularity points by solving the second-order wave equation with known boundary conditions. Finally, field values can then be transformed from Cartesian coordinates to the spherical grid, and the solution is complete.
The model is an important extension of the FDTD spheriw x cal algorithm 1 , allowing for a complete field solution of the entire computational space including the poles and origin. Further, the described solution technique may be extended to other curvilinear coordinates.