Publications [#283606] of Qing H. Liu

Papers Published

1. He, JQ; Liu, QH, Systematic study of three PML absorbing boundary conditions through a unified formulation in cylindrical coordinates, Annual Review of Progress in Applied Computational Electromagnetics, vol. 2 (January, 1998), pp. 631-638
   (last updated on 2023/08/08)

   Abstract:
   By using a unified formulation, we compare three perfectly matched layer (PML) absorbing boundary conditions (ABC) in two-dimensional polar coordinates. An improved scheme is proposed to save the number of unknown field variables and computation time. Two-dimensional polar FDTD algorithms are developed to compare the effectiveness and efficiency of these methods. Excellent agreement is found between numerical results and analytical solutions. The formulation is then extended to conductive media in full three-dimensional cylindrical coordinates. We have developed a 3-D nonuniform grid FDTD algorithm using one of these formulations, the quasi-PML formulation, in cylindrical coordinates. Applications of the 3-D program are demonstrated for borehole radar probing.