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On the modeling of conducting media with the unconditionally stable ADI-FDTD method

机译:用无条件稳定的ADI-FDTD方法建模导电介质

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The Courant-Friedrich-Levy stability condition has prevented the conventional finite-difference time-domain (FDTD) method from being effectively applied to conductive materials because of the fine mesh required for the conducting regions. In this paper, the recently developed unconditionally stable alternating-direction-implicit (ADI) FDTD is employed because of its capability in handling a fine mesh with a relatively large time step. The results show that the unconditionally alternating-direction-implicit-finite-difference time-domain (ADI-FDTD) method can be used as an effective universal tool in modeling a medium regardless of its conductivity. In addition, the unsplit perfectly matched layer combined with the ADI-FDTD method is implemented in the cylindrical coordinates and is proven to be very effective even with the cylindrical structures that contain open conducting media.
机译:Courant-Friedrich-Levy稳定性条件由于导电区域所需的细密网格,使得传统的有限差分时域(FDTD)方法无法有效地应用于导电材料。在本文中,采用了最近开发的无条件稳定的交替方向隐式(FDTD)FDTD,因为它能够以较大的时间步长处理精细的网格。结果表明,无条件交替方向隐式有限差分时域(ADI-FDTD)方法可以用作建模介质的有效通用工具,而与介质的电导率无关。此外,在圆柱坐标系中实现了与ADI-FDTD方法相结合的未分割的完美匹配层,并被证明即使在包含开放导电介质的圆柱结构中也非常有效。

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