DocumentCode
50308
Title
Geometrical Formulation of 3-D Space-Time Finite Integration Method
Author
Kawahara, Jun ; Mifune, Takeshi ; Matsuo, Takuya
Author_Institution
Grad. Sch. of Eng., Kyoto Univ., Kyoto, Japan
Volume
49
Issue
5
fYear
2013
fDate
May-13
Firstpage
1693
Lastpage
1696
Abstract
A geometrical formulation of a space-time finite-integration (FI) method is studied for application in electromagnetic-wave propagation calculations. Based on the Hodge duality and Lorentzian metric, a modified relation is derived between the incidence matrices of space-time primal and dual grids. A systematic method to construct the Maxwell grid equations on the space-time primal and dual grids is developed. The geometrical formulation is implemented on a simple space-time grid, which is proven equivalent to an explicit time-marching scheme of the space-time FI method.
Keywords
electromagnetic wave propagation; integration; 3D space-time finite integration method; Hodge duality; Lorentzian metric; Maxwell grid equations; dual grids; electromagnetic-wave propagation; geometrical formulation; incidence matrices; space-time FI method; space-time grid; space-time primal; time-marching scheme; Finite integration (FI) method; Hodge duality; graph theory; space-time grid;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.2013.2243424
Filename
6514526
Link To Document