A fourth-order accurate FDTD scheme with long-time stability

Author

Hwang, Kyu-Pyung

Author_Institution

Intel Corp., Chandler, AZ, USA

Volume

15

Issue

4

fYear

2005

fDate

4/1/2005 12:00:00 AM

Firstpage

271

Lastpage

273

Abstract

This letter presents a new finite-difference time-domain (FDTD) scheme with fourth-order accuracy in time and space. A combination of staggered backward differentiation time integrator and high-order spatial discretization is used to derive fourth-order accurate FDTD equations. The fourth-order accuracy of the proposed FDTD method is verified by monitoring L₂ norm errors in a two-dimensional partially-filled cavity. Furthermore, the computational cost study shows that the proposed fourth-order scheme is much more efficient than Yee´s second-order FDTD scheme in solving the inhomogeneous cavity problem.

Keywords

Maxwell equations; computational electromagnetics; convergence of numerical methods; finite difference time-domain analysis; 2D partially filled cavity; L₂ norm errors; backward differentiation time integrator; convergence of numerical methods; finite-difference time-domain scheme; fourth-order accuracy; high-order spatial discretization; inhomogeneous cavity problem; second-order FDTD scheme; Computational efficiency; Dielectric materials; Differential equations; Finite difference methods; Maxwell equations; Permittivity; Polarization; Stability; Tellurium; Time domain analysis; Backward differentiation method; convergence of numerical methods; finite-difference time-domain (FDTD) methods;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2005.845741

Filename

1416951