Reduction of Unphysical Wave Reflection Arising From Space-Time Finite Integration Method

Author

Matsuo, Takuya ; Mifune, Takeshi

Author_Institution

Grad. Sch. of Eng., Kyoto Univ., Kyoto, Japan

Volume

50

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

177

Lastpage

180

Abstract

Several 3-D and 4-D space-time grids are compared for electromagnetic wave computations using the space-time finite integration (FI) method. To suppress unphysical wave reflections without incurring numerical instability, the constitutive relation is corrected while retaining the symmetric of impedance matrix. Eigenvalue analysis confirms the stability of the 3-D space-time FI schemes, where an asymmetric impedance matrix could cause late instability. A 4-D space-time FI scheme is also improved by symmetric corrections.

Keywords

eigenvalues and eigenfunctions; electromagnetic wave reflection; impedance matrix; integration; 3D space-time finite integration method; 3D space-time grids; 4D space-time finite Integration method; 4D space-time grids; asymmetric impedance matrix; constitutive relation; eigenvalue analysis; electromagnetic wave computation; symmetric correction; symmetric impedance matrix; unphysical wave reflection; Eigenvalues and eigenfunctions; Electromagnetics; Finite difference methods; Impedance; Numerical stability; Stability analysis; Symmetric matrices; Computational electromagnetics; finite difference methods; numerical stability; time-domain analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2282162

Filename

6748963