A three-dimensional fourth-order finite-difference time-domain scheme using a symplectic integrator propagator

Author

Hirono, Takuo ; Lui, Wayne ; Seki, Shunji ; Yoshikuni, Yuzo

Author_Institution

NTT Photonics Lab., Kanagawa, Japan

Volume

49

Issue

9

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

1640

Lastpage

1648

Abstract

A new explicit fourth-order finite-difference time-domain (FDTD) scheme for three-dimensional electromagnetic field simulation is proposed in this paper. A symplectic integrator propagator, which is also known as a decomposition of the exponential operator or a general propagation technique, is directly applied to Maxwell´s equations in the scheme. The scheme is nondissipative and saves memory. The Courant stability limit of the scheme is 30% larger than that of the standard FDTD method. The perfectly matched layer absorbing boundary condition is applicable to the scheme. A specific eigenmode of a waveguide is successfully excited in the scheme. Stable and accurate performance is demonstrated by numerical examples

Keywords

Maxwell equations; electromagnetic field theory; finite difference time-domain analysis; 3D EM field simulation; 3D fourth-order FDTD scheme; Courant stability limit; Maxwell equations; PML ABC; absorbing boundary condition; electromagnetic field simulation; exponential operator; finite-difference time-domain scheme; perfectly matched layer; symplectic integrator propagator; three-dimensional EM field simulation; three-dimensional FDTD scheme; Boundary conditions; Electromagnetic fields; Electromagnetic propagation; Electromagnetic propagation in absorbing media; Electromagnetic waveguides; Finite difference methods; Maxwell equations; Perfectly matched layers; Stability; Time domain analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.942578

Filename

942578