An Accurate 3-D CFS-PML Based Crank-Nicolson FDTD Method and Its Applications in Low-Frequency Subsurface Sensing

作者：Feng, Naixing; Zhang, Yuxian; Sun, Qingtao; Zhu, Jinfeng; Joines, William T.; Liu, Qing Huo^*

来源：IEEE Transactions on Antennas and Propagation, 2018, 66(6): 2967-2975.

DOI：10.1109/TAP.2018.2816788

• Airborne transient electromagnetics (ATEMs)
• complex-frequency-shifted perfectly matched layer (CFS-PML)
• Crank-Nicolson cycle-sweep-uniform finite-difference time-domain (CNCSU-FDTD)
• low-frequency sensing problems

An unsplit-field and accurate Crank-Nicolson cyclesweep-uniform finite-difference time-domain (CNCSU-FDTD) method based on the complex-frequency-shifted perfectly matched layer (CFS-PML) is proposed. It is applied to 3-D lowfrequency subsurface electromagnetic sensing problems. The presented CNCSU-FDTD takes advantage of both CFS-PML and unconditionally stable CN method so that it can attenuate evanescent waves, eliminate late-time reflections, and overcome the stability limits of the FDTD method. The time step intervals in CNCSU-FDTD can be 1000 times larger than that in the regular FDTD for the low-frequency sensing centered at 25 Hz while remaining accurate. Several 3-D numerical examples in the airborne transient electromagnetics system have been demonstrated to validate the proposed method. The CFS-PML-based CNCSU-FDTD method not only attains good accuracy but also saves several dozen times of CPU time as compared with the regular FDTD method.

• 出版日期2018-6
• 单位厦门大学