A fourth-order accurate staggered FD-TD scheme for Maxwell equations

Author

Xie, Z. ; Zhang, B. ; Chan, C.H.

Author_Institution

Sch. of Math. & Inf. Sci., Coventry Univ., UK

Volume

3

fYear

2000

fDate

16-21 July 2000

Firstpage

1518

Abstract

A new efficient fourth-order staggered FDTD scheme has been developed and applied to electromagnetic wave problems. It is fourth-order accurate in both space and time, conditionally stable, and highly efficient with respect to Yee´s scheme. Moreover, it is very easily implemented and adapted to perfectly matched layers. Numerical examples are presented to illustrate the efficiency of the method. The main disadvantage is that the scheme requires additional memory with respect to the Yee scheme. Fortunately, this can be offset by using fewer grid points in the computational domain.

Keywords

Maxwell equations; electromagnetic wave propagation; finite difference time-domain analysis; numerical stability; Maxwell equations; Yee´s scheme; conditionally stable scheme; efficiency; electromagnetic wave problems; fourth-order staggered FDTD scheme; numerical examples; perfectly matched layers; Difference equations; Finite difference methods; Magnetic domains; Maxwell equations; Perfectly matched layers; Permeability; Permittivity; Polarization; Taylor series; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2000. IEEE

Conference_Location

Salt Lake City, UT, USA

Print_ISBN

0-7803-6369-8

Type

conf

DOI

10.1109/APS.2000.874501

Filename

874501