共形单场弱条件稳定时域有限差分法及其应用

      Conformal single field weakly conditionally stable finite difference time domain method and its application

      • 摘要: 针对仿真目标含有任意倾斜放置的二维金属贴片情况,为了实现更加高效、精确的计算,提出了一种共形单场弱条件稳定时域有限差分(finite-difference time-domain, FDTD)法。从FDTD方法基本迭代方程出发,推导了单场弱条件稳定FDTD方法中引入共形技术的迭代公式且加以编程实现,验证了所提出方法的精度和稳定性,并将其应用于双频矩形介质谐振器天线和小型化超宽带双平面类八木多输入多输出天线的仿真。仿真结果表明:稳定性条件和内存占用量不受影响,5~15 GHz频段内的相对误差低于–50 dB;多线程计算效率最高是传统显式共形FDTD方法的19倍,相比共形一步蛙跃方法提高了19.57%。本方法在传统方法的基础上明显提高了多线程计算效率,同时计算精度和稳定性满足实际工程仿真需求,作为一种弱条件稳定方法,适合仿真两个维度具有微细结构的对象。

         

        Abstract: To simulate objects with two-dimensional metal patch that is tilted in arbitrary directions accurately with higher efficiency, conformal single field(SF) weakly conditionally stable(WCS) finite-difference time-domain(FDTD) method is proposed here. Starting from the basic FDTD updating equations, updating equations combining the SF-WCS FDTD method with the conformal modeling technique were derived and implemented with computer code, whose accuracy and stability is also validated, it is further applied to the simulation of dual band rectangular dielectric resonator antenna and miniaturized UWB biplanar Yagi-like multiple-input multiple-output (MIMO) antenna. Numerical examples demonstrate that the stability condition and memory consumption is not affected, the relative error in 5-15 GHz is below -50 dB, at the meantime, its multi-thread computational efficiency is as high as 19 times that of the traditional explicit FDTD method, and is at most 19.57% higher than the conformal one step leapfrog WCS FDTD method. The proposed method features significantly higher multithread computational efficiency compared with traditional methods, and its accuracy and stability satisfies practical engineering requirements, meanwhile, as a WCS method, it is suitable for the simulation of objects with fine details in two directions.

         

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