In this paper, the conformal finite-difference time-domain (CFDTD) technique and the concept of effective dielectric constant are applied to symplectic multi-resolution time-domain (SMRTD) algorithm based on Daubechies scaling functions, resulting in a conformal SMRTD (C-SMRTD) method. Moreover, anovel implementation of perfect matched layer with auxiliary differential equation (ADE-PML) is presented for the SMRTD method. Numerical results of the radar cross section (RCS) of a dielectric sphere verify the effectiveness of the C-SMRTD method, which shows good agreement with the results derived by analytical methods. It is also shown that the accuracy of the C-SMRTD method has been significantly improved compared with the MRTD method with step approximation, and the proposed method has an advantage over CFDTD at saving the CPU time and memory. Furthermore, a vault-top tunnel model is established with the proposed method, and the characteristic of the field cross-section distribution of the electromagnetic pulse (EMP) propagation in the tunnel model is also presented and discussed.

中文翻译：

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ADE-PML的保形辛多分辨率时域方法

本文将共形有限差分时域（CFDTD）技术和有效介电常数的概念应用于基于Daubechies缩放函数的辛多分辨率时域（SMRTD）算法，从而形成了共形SMRTD（C -SMRTD）方法。此外，针对SMRTD方法，提出了带有辅助微分方程（ADE-PML）的完美匹配层的另一种实现方法。电介质球的雷达横截面（RCS）的数值结果证明了C-SMRTD方法的有效性，这与分析方法得出的结果显示出很好的一致性。还表明，与采用步阶逼近的MRTD方法相比，C-SMRTD方法的准确性有了显着提高，并且所提出的方法在节省CPU时间和内存方面优于CFDTD。