UPML-ABC and TF/SF boundary for unconditionally stable AH-FDTD method in conductive medium

Author

Zheng-Yu Huang ; Li-hua Shi ; Yinghui Zhou ; Bin Chen

Author_Institution

Nat. Key Lab. on Electromagn. Environ. Effects & Electro-Opt. Eng., PLA Univ. of Sci. & Technol., Nanjing, China

Volume

51

Issue

21

fYear

2015

Firstpage

1654

Lastpage

1656

Abstract

For analysing the scattering problem in conductive medium with the new unconditionally stable associated Hermite (AH) finite-difference time-domain (FDTD) method, the formulation of uniaxial anisotropic perfectly matched layer absorbing boundary condition (UPML-ABC) and the total-field/scattered-field (TF/SF) implementation scheme are deduced. By virtue of AH differential transformation matrix and the eigenvalue transformation, frequency-dependent parameters of the lossy medium can be well treated in AH-UPML, without using any additional auxiliary variables. Numerical verification for the scattering of buried conductor in lossy half-space is performed. Compared with Mur´s ABC, UPML increases the absorbing performance by more than 80 dB in AH-FDTD analysis.

Keywords

absorbing media; eigenvalues and eigenfunctions; electromagnetic wave absorption; electromagnetic wave scattering; finite difference time-domain analysis; AH differential transformation matrix; TF-SF boundary; UPML-ABC boundary; absorbing boundary condition; associated Hermite finite-difference time-domain method; buried conductor; conductive medium; eigenvalue transformation; frequency dependent parameters; lossy half-space; lossy medium; scattering problem; total-field-scattered-field implementation; unconditionally stable AH-FDTD method; uniaxial anisotropic perfectly matched layer;

fLanguage

English

Journal_Title

Electronics Letters

Publisher

iet

ISSN

0013-5194

Type

jour

DOI

10.1049/el.2015.2488

Filename

7300533