嵌入式薄片模型在时域有限差分算法中的应用

将一等效薄片模型嵌入到时域有限差分算法（FDTD）中, 以快速而有效地解决复合材料薄片在电磁计算中的多尺度问题。在该嵌入式薄片模型中, 薄片不需要被剖分网格, 而是被嵌入到相邻的网格间, 从而可以使用相对较大的网格剖分周围物体, 进而可节省大量的计算资源。在这一模型中, 薄片被等效为一段传输线, 并用其频域的导纳矩阵代替。使用数字滤波器理论以及逆Z变换可将频域的导纳矩阵转换到时域, 并将其嵌入到时域有限差分算法中。该嵌入式薄片模型被用来计算一单层碳纤维复合材料薄片的反射以及透射性能, 并与其解析解进行对比, 从而验证该模型的准确性、收敛性以及高效性。该模型被用来计算三种具有不同电参数的单层碳纤维复合材料薄片的屏蔽性能, 以研究各电参数对其屏蔽性能的影响。

Abstract

A thin film model is embedded into the finite difference time domain (FDTD) method to solve the multi-scale problem effectively in the existence of thin carbon fiber composite (CFC) panels in the computational electromagnetics. In this model, the thin film works as a section of transmission line and can be replaced by its admittance matrix in the frequency domain. The digital filter theory and inverse Z transform are used to transform the frequency domain admittance matrix into its time domain form, which could be incorporated into the FDTD method. The embedded model has the advantages of saving computational resources due to the fact that it does not discretize the thin film and relatively large mesh size can be used in the surroundings. In this paper, the embedded model is used to analyze the reflection and transmission performance of a single-layered CFC panel. The results are compared with those from analytical solutions, which validates its accuracy, convergence and effectiveness. In the end, the embedded model is applied to analyze the effects of the electrical parameters of the CFC panel on its shielding performance.

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孟雪松, 鲍献丰, 刘德赟, 周海京. 嵌入式薄片模型在时域有限差分算法中的应用[J]. 强激光与粒子束, 2017, 29(12): 123203. Meng Xuesong, Bao Xianfeng, Liu Deyun, Zhou Haijing. Embedded thin film model in finite difference time domain method[J]. High Power Laser and Particle Beams, 2017, 29(12): 123203.

嵌入式薄片模型在时域有限差分算法中的应用

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