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

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.