摘要
针对仿真目标中含有不规则形状贴片的情况,为实现更加高效、精确的计算,提出了一种基于辅助微分方程(auxiliary differential equation,ADE)的弱条件稳定时域有限差分(finite-difference time-domain,FDTD)法。从麦克斯韦方程组时域旋度方程出发,推导了基于ADE的弱条件稳定FDTD法中引入共形技术的迭代公式并加以编程实现,同时验证了所提出方法的精度和稳定性,并将其应用于宽带极化转换器的仿真。结果表明:稳定性条件和内存占用量基本不受影响,在9.9~16.6 GHz频段内,极化转换率大于90%的相对带宽可达到48.4%;相比色散介质中的弱条件稳定方法和共形方法,该方法明显提高了计算的精确度和效率,满足实际工程仿真需求。本文方法作为一种弱条件稳定方法,适合仿真单个方向具有精细结构的对象。
For the case that the simulation target contains irregularly shaped patches,a weakly conditional stabilized finite-difference time-domain(FDTD)method based on auxiliary differential equations(ADE)is proposed in order to achieve more efficient and accurate calculations.Starting from the time-domain Maxwell’s curl equations,the iterative formula for introducing the conformal technique in the weakly conditional stable FDTD method based on the ADE is derived and programmatically implemented,and the accuracy and stability of the proposed method has been verified.This method is applied to the simulation of a wideband polarization converter.The obtained results show that the stability conditions and memory occupation are unaffected,the polarization conversion rate is greater than 90%in the frequency band from 9.9 GHz to 16.6 GHz,and the relative bandwidth can reach 48.4%;compared with the weak conditional stabilization method and the conformal method in dispersive media,the proposed method improves the accuracy and computational efficiency of the calculations and meets the needs of practical engineering simulation.In addition,as a weak conditional stabilization method,it is suitable for simulating objects with fine structures in a single direction.
作者
武岳
马朝轶
邢浩然
范超
王蒙军
郑宏兴
WU Yue;MA Chaoyi;XING Haoran;FAN Chao;WANG Mengjun;ZHENG Hongxing(School of Electronics and Information Engineering,Hebei University of Technology,Tianjin 300401 China)
出处
《电波科学学报》
北大核心
2025年第3期448-456,共9页
Chinese Journal of Radio Science
基金
国家自然科学基金(62071166)
石家庄市驻冀高校产学研合作项目(241130447A)。
关键词
时域有限差分(FDTD)法
辅助微分方程(ADE)
弱条件稳定
共形技术
极化转换表面
finite-difference time-domain(FDTD)method
auxiliary differential equations(ADE)
weakly conditional stabilization
conformal techniques
polarization transition surfaces
