Efficient Z-Transform Implementation of the D-B CFS-PML for Truncating Multi-Term Dispersive FDTD Domains

Authors

  • Naixing Feng Institute of Electromagnetics and Acoustics Xiamen University, Xiamen 361005, P. R. China
  • Yongqing Yue Institute of Electromagnetics and Acoustics Xiamen University, Xiamen 361005, P. R. China
  • Chunhui Zhu Institute of Electromagnetics and Acoustics Xiamen University, Xiamen 361005, P. R. China
  • Qing Huo Liu Department of Electrical and Computer Engineering Duke University, Durham, NC 27708, USA
  • Liangtian Wan Department of Information and Communication Engineering Harbin Engineering University, Harbin 150001, P. R. China

Keywords:

D-B constitutive relations, Finite-Difference Time-Domain (FDTD), multi-term Lorentz, Perfectly Matched Layer (PML) and Z-transform

Abstract

Efficient Z-transform implementation of the Complex Frequency-Shifted Perfectly Matched Layer (CFS-PML) using the D-B formulations are proposed to truncate open region multi-term dispersive Finite-Difference Time-Domain (FDTD) lattices. These formulations are independent of material properties of the FDTD domains and hence can be used for modeling general media because of the D-B constitutive relations. A Three-Dimensional (3-D) simulation of the two-term Lorentz dispersive FDTD domain has been carried out to demonstrate the validity of the proposed formulations. Furthermore, in order to show the validity of the proposed algorithm, the second 3D inhomogeneous problem has also been used for validating the proposed formulations. It is clearly shown that the new formulations with the CFS-PML scheme are efficient in attenuating evanescent waves and reducing late-time reflections.

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References

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Published

2021-09-03

How to Cite

[1]
N. . Feng, Y. . Yue, C. . Zhu, Q. H. . Liu, and L. . Wan, “Efficient Z-Transform Implementation of the D-B CFS-PML for Truncating Multi-Term Dispersive FDTD Domains”, ACES Journal, vol. 29, no. 03, pp. 190–196, Sep. 2021.

Issue

2014: Vol 29 Iss 3

Section

General Submission