Three-Dimensional Spherical-Shaped UPML for FDTD with Cubic Lattices

Authors

  • Lu Wang School of Electronics and Information Engineering Hebei University of Technology, Tianjin, TJ 22, China
  • Mengjun Wang School of Electronics and Information Engineering Hebei University of Technology, Tianjin, TJ 22, China
  • Kanglong Zhang 1 School of Electronics and Information Engineering Hebei University of Technology, Tianjin, TJ 22, China
  • Wenjie Cui 1 School of Electronics and Information Engineering Hebei University of Technology, Tianjin, TJ 22, China
  • Hongxing Zheng School of Electronics and Information Engineering Hebei University of Technology, Tianjin, TJ 22, China
  • Erping Li University of Illinois at Urbana-Champaign Institute Zhejiang University, Haining, ZJ 573, China

Keywords:

FDTD, Cartesian coordinate system, spherical boundary truncation, three-dimension, UPML

Abstract

Spherical-shaped uniaxial perfectly matched layer (SS-UPML), an absorbing boundary for threedimensional (3-D) finite-difference time-domain (FDTD) method with cubic cells, is proposed and applied to different objects. This boundary is used for truncating the computational domain to absorb outgoing electromagnetic waves, which has the advantages of higher efficiency and accuracy, compared with the conventional UPML. Update equations are transformed by coordinate rotation to better fit the Cartesian system. Different numerical experiments are implemented to verify the stability and practicability of the proposed boundary in 3-D case. Obtained results illustrate that about a half grid and computational time can be saved after SS-UPML is used, which is the foundation of a wider range of applications.

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Published

2019-03-01

How to Cite

[1]
Lu Wang, Mengjun Wang, Kanglong Zhang, Wenjie Cui, Hongxing Zheng, and Erping Li, “Three-Dimensional Spherical-Shaped UPML for FDTD with Cubic Lattices”, ACES Journal, vol. 34, no. 03, pp. 475–482, Mar. 2019.

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