Title :
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
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;
Journal_Title :
Electronics Letters
DOI :
10.1049/el.2015.2488