发表机构
Ghent University（根特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种基于量化张量列的三维FDTD框架，使内存和计算复杂度随系统规模对数增长，在保持高精度的同时大幅降低资源消耗，适用于大型多尺度电磁散射仿真。
AI 中文摘要
本文提出了一种新颖的三维时域有限差分（FDTD）框架，该框架规避了传统FDTD方法昂贵的体积缩放问题。通过将电磁场表示为低秩量化张量列（QTT），内存需求随系统规模呈对数增长。此外，构成FDTD方案的多种数值运算可以在此格式下高效实现，其计算成本同样表现出对数复杂度。通过引入单轴完美匹配层（PML），实现了开放空间中的系统仿真。一个验证实例表明，与传统全网格（FG）FDTD方法相比，该方法在显著降低所需计算资源的同时实现了优异的精度。内存节省达数个数量级，凸显了该框架在仿真大型多尺度电磁系统方面的潜力。
英文摘要
In this letter, a novel 3-D Finite-Difference Time-Domain (FDTD) framework is proposed that circumvents the costly volumetric scaling of conventional FDTD methods. By representing the electromagnetic fields as low-rank Quantized Tensor Trains (QTT), the memory requirements scale logarithmically with system size. Moreover, the various numerical operations that constitute the FDTD scheme can be efficiently implemented in this format, with their computational cost also exhibiting a logarithmic complexity. The simulation of systems in open space is enabled by the inclusion of a uniaxial PML. A validation example demonstrates that the method achieves excellent accuracy compared to the traditional full-grid (FG) FDTD method, while significantly reducing the required computational resources. Memory savings of several orders of magnitude are obtained, highlighting the potential of the proposed framework for the simulation of large multiscale electromagnetic systems.
CommentsSubmitted to IEEE Antennas and Wireless Propagation Letters for possible publication
