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一种新时域交替隐式差分算法在散射问题中的应用

闫玉波 李清亮 吴振森

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一种新时域交替隐式差分算法在散射问题中的应用

闫玉波, 李清亮, 吴振森

A new ADI-FDTD analysis in electromagnetic scattering

Yan Yu-Bo, Li Qing-Liang, Wu Zhen-Sen
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  • 提出一种新时域交替隐式有限差分(ADI-FDTD)算法格式. 传统ADI-FDTD算法的 场量步进方程涉及周围若干网格的较多场量,导致两个区域的步进方程处理较困难:一个是 邻近完全匹配层(PML)和散射场交界区,另一个是邻近连接边界区. 特别是后者,考虑入射 波影响需对场量所在区域判断,根据不同情况对原有方程进行修正,一维和二维散射问题 相对简单,可三维问题修正式有数十种之多而几乎无法完成. 本方法基于分裂场形式的ADI- FDTD技术,使得散射场区和PML吸收层区的表达形式完全一致,从而忽略两者差别.另
    This paper proposes a new set of alternative direction implicit finite_di fference time_domain (ADI_FDTD) equations. In conventional ADI_FDTD, the update equation is related to several field components in cells nearby, which will lead to some difficulties in two regions:1) around the boundary region between the p erfectly ma tched layer (PML) and the scattering field; 2) around the adjacent bounda ry. Especially, in the region around the adjacent boundary, owing to the inciden t wave, we shou ld make a judgment about the situation of every component and modify the update equation. It is potential to make a solution to one_dimensional or two_dimension al problem. However, in three_dimensional (3D) analysis, one equation concerns w ith el even components and there exist several tens of cases to be modified. This makes the scheme very tedious and impossible to realize. This paper adopts the spli t field difference formation in the whole computation regime to analyse the sca ttering problem. Because the equations in the scattering field region have the same expr essi ons as those in PML absorber except for some coefficients, the boundary in the r egion mentioned above can be ignored. Due to simplicity of the split field equation, the new ADI_FDTD formula in 3D problem has only five compon ents to be cons idered and four modifications at the adjacent boundary to be made. Finally, we utilize this new method to compute some electromagnetic scattering numerical examples, and the results are in excellent agreement with those ob tained w ith other algorithm and the measured data. Moreover, the new method have 6-7 tim es higher efficiency in terms of the CPU time.
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出版历程
  • 收稿日期:  2004-04-22
  • 修回日期:  2004-06-08
  • 刊出日期:  2004-06-05

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