Simulation of Electromagnetic Wave Propagation in 3D Integrated Module Based on 3D ADI-FDTD Algorithm

2021 22nd International Conference on Electronic Packaging Technology (ICEPT) Pub Date : 2021-09-14 DOI:10.1109/ICEPT52650.2021.9567963

Yinhui Han, M. Miao, Jin Li

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Abstract

In order to solve the problem of electromagnetic propagation in three-dimensional (3-D) heterogenous integrated modules. This paper presents an alternating direction implicit finite-difference time-domain (ADI-FDTD) method. This method can be well applied to 3-D electromagnetic problems. The excitation source suitable for this method is given in this paper. In order to effectively analyze electromagnetic problems at infinity, the ADI-FDTD algorithm combines the uniaxial PML(UPML) and the Mur first order absorbing boundary condition; the former is used for wave propagation in direction z, and the latter used for other boundaries. Finally, a demo is given to compare the results calculated by ADI-FDTD with that calculated by conventional FDTD algorithm. Numerical results show that the ADI-FDTD is not constrained by conditional stability, the calculation time can be greatly shortened and the calculation efficiency of FDTD is increased. The introduction of absorption boundary condition makes the numerical simulation more accurate and the calculation more efficient.

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基于三维ADI-FDTD算法的电磁波在三维集成模块中的传播仿真

为了解决电磁在三维异质集成模块中的传播问题。提出了一种交替方向隐式时域有限差分(ADI-FDTD)方法。该方法可以很好地应用于三维电磁问题。本文给出了适用于该方法的激励源。为了有效地分析无穷远处的电磁问题，ADI-FDTD算法结合了单轴PML(UPML)和Mur一阶吸收边界条件;前者用于z方向的波传播，后者用于其他边界。最后，通过实例比较了ADI-FDTD算法与传统FDTD算法的计算结果。数值结果表明，ADI-FDTD不受条件稳定性的约束，大大缩短了计算时间，提高了FDTD的计算效率。吸收边界条件的引入使数值模拟更加精确，计算效率更高。

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2021 22nd International Conference on Electronic Packaging Technology (ICEPT)

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