A comparison between a spline-based method and a high-order FDTD scheme for the Maxwell equations

Author

Homsup, N.

Author_Institution

Dept. of Electr. Eng., Kasetsart Univ., Bangkok, Thailand

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

56

Lastpage

59

Abstract

In this paper, two high-order FDTD schemes are developed to solve the Maxwell´s equations with a bounded domain. The first scheme is the extension of the standard Yee algorithms which rely on the approximation of a partial derivative by the central-difference approximation. The second scheme is based on a spline function. This scheme uses the mesh stencil as used in the standard Yee cells and it is relatively easy to modify an existing code based on the Yee algorithm. Both schemes can be adapted for an unbounded space problem such as a scatter in an unbounded space.

Keywords

Maxwell equations; electromagnetic wave propagation; electromagnetic wave scattering; finite difference time-domain analysis; splines (mathematics); Maxwell equations; Yee algorithm; bounded domain; central-difference approximation; high-order FDTD scheme; mesh stencil; partial derivative; scatter; spline function; spline-based method; standard Yee algorithms; unbounded space problem; Approximation algorithms; Code standards; Difference equations; Finite difference methods; Integral equations; Interpolation; Maxwell equations; Scattering; Spline; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Electromagnetics and Its Applications, 1999. Proceedings. (ICCEA '99) 1999 International Conference on

Print_ISBN

0-7803-5802-3

Type

conf

DOI

10.1109/ICCEA.1999.825066

Filename

825066