首页|期刊导航|无线电工程|基于BiGRU的FDTD高效精确场预测算法

基于BiGRU的FDTD高效精确场预测算法OA

Efficient and Accurate Field Prediction Algorithm for FDTD Based on BiGRU

中文摘要英文摘要

时域有限差分(Finite-Difference Time-Domain,FDTD)法作为计算电磁学中的重要方法之一,可以处理不同形状、材料和边界条件下的电磁场问题.然而其计算成本及库朗-弗里德里希斯-莱维(Courant-Friedrichs-Lewy,CFL)条件的约束限制了模拟速度.在此基础上,提出了基于双向门控循环单元(Bidirectional Gated Recurrent Unit,BiGRU)的方法预测电磁场的动态演化.该模型通过训练预测相邻时间步长间的场量增量,显著提升了数值稳定性与学习效率.基于含正弦波源与吸收边界条件的二维TMz波的FDTD模拟数据训练后,模型成功实现了多步场演化推演.关键创新在于采用高度精简化的场分量集作为输入,大幅降低模型复杂度.实验结果表明,基于BiGRU的预测模型能精确复现FDTD解,在 60 个推演步长内相对最大误差低于-30 dB,为利用神经网络加速电磁仿真提供了新的应用范式.

The Finite-Difference Time-Domain(FDTD)method is an important technique in computational electromagnetics and can handle electromagnetic problems involving different shapes,materials,and boundary conditions.However,its computational cost and the constraints imposed by the Courant-Friedrichs-Lewy(CFL)condition limit simulation speed.A method based on a Bidirectional Gated Recurrent Unit(BiGRU)is proposed to predict the dynamic evolution of electromagnetic fields.By training the model to predict field increments between adjacent time steps,numerical stability and learning efficiency are significantly enhanced.A key innovation lies in adopting a highly simplified set of field components as input,which substantially reduces model complexity.After training on 2D TMz FDTD simulation data incorporating sinusoidal wave sources and absorbing boundary conditions,the model successfully achieved multi-step field evolution prediction.Experimental results show that the BiGRU-based prediction model can accurately reproduce FDTD solutions,with relative field errors below-30 dB over 60 prediction steps,offering a new strategy for leveraging neural networks to accelerate electromagnetic simulations.

黄凯悦;吕聚良;张继瑞;何实;李腾

东南大学 毫米波全国重点实验室,江苏 南京 211189东南大学 毫米波全国重点实验室,江苏 南京 211189东南大学 毫米波全国重点实验室,江苏 南京 211189东南大学 毫米波全国重点实验室,江苏 南京 211189东南大学 毫米波全国重点实验室,江苏 南京 211189

信息技术与安全科学

时域有限差分稳定性条件双向门控循环单元

FDTDstability conditionsBiGRU

《无线电工程》 2026 (5)

790-796,7

国家自然科学基金(62001102) National Natural Science Foundation of China(62001102)

10.3969/j.issn.1003-3106.2026.05.004

评论