Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method

Author

Gedney, Stephen D. ; Liu, Gang ; Roden, J. ; Zhu, Aiming

Author_Institution

Dept. of Electr. Eng., Kentucky Univ., Lexington, KY, USA

Volume

49

Issue

11

fYear

2001

fDate

11/1/2001 12:00:00 AM

Firstpage

1554

Lastpage

1559

Abstract

A perfectly matched layer (PML) medium with complex frequency shifted (CFS) constitutive parameters is introduced for the three-dimensional alternating direction implicit (ADI) formulation of the finite-difference time-domain (FDTD) method. The absorbing boundary is implemented using the convolutional PML (CPML) approach. It is demonstrated that the resulting ADI-CPML scheme is unconditionally stable. The effectiveness of the absorbing medium as a function of the time step is also demonstrated. The proposed method has the advantage that it allows the application of the ADI method to low-frequency analysis

Keywords

absorbing media; electromagnetic wave absorption; finite difference time-domain analysis; 3D alternating direction implicit formulation; CFS; CPML; PML medium; absorbing boundary; absorbing medium; complex frequency shifted constitutive parameters; convolutional PML; finite-difference time-domain; low-frequency analysis; perfectly matched layer media; time step; unconditionally stable ADI-FDTD method; Differential equations; Finite difference methods; Frequency; Linear systems; Maxwell equations; Perfectly matched layers; Sampling methods; Stability; Steady-state; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.964091

Filename

964091