平面波在三维完全匹配层中的传播特性
PROPAGATION CHARACTERS OF PLANE WAVE IN THE PERFECTLY MATCHED LAYER
-
摘要: 完全匹配层(PML)良好的吸波特性已成功地用于FDTD问题。Katz给出了三维问题分量场所满足的12个微分方程,但未对波在PML中的传播特性进行讨论。本文基于Katz的微分方程组,推导出了平面波解、波数及其阻抗。Abstract: The Perfectly Matched Layer(PML)is very effective in absorbing propagating wave, so that it has been successfully applied in FDTD research. Katz(1994) derived 12 differential equations in three-dimensional PML, but there is no conclusion for the propagation characters of plane wave in PML such as wave expression ,wave number and wave impedance. These characters are investigated in this paper.
-
Lindman E L. wee-space boundary conditions for the time dependent wave equation. J.Comput.[2]Phys., 1975,18(1): 66-78.[3]Engquist B, Majda A. Absorbing boundary conditions for the numerical simulation of waves[J].Math.Comp.1977, 31(139):629-651[4][3][5]Berenger J P. Perfectly matched layer for the absorption of electromagnetic wave[J].J. Comput. Phys.1994, 114(2):185-220[6]Katz D S, et al. Validation and extension to three dimension of the Berenger PML absorbing boundary condition for FD-TD meshes. IEEE Microwave and Guided Wave Lett., 1994, 4(8):[7]8-270.[8]Andrew W V, et al. IEEE Microwave and Guided Wave Lett., 1995, 5(6): 192-194.[9]Moor T G, et al. Theory and application of radiation boundary operators. IEEE Trans. on AP, 1988, AP-36(12): 1797-1812.[10]Mur G. Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic field equations. IEEE Trans. on EMC, 1981, EMC-23(4): 377-382. -
计量
- 文章访问数: 2024
- HTML全文浏览量: 102
- PDF下载量: 362
- 被引次数: 0
下载:
