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Progress In Electromagnetics Research, PIER 58, 101–114, 2006
IMPLEMENTATION OF MUR’S ABSORBING
BOUNDARIES WITH PERIODIC STRUCTURES TO
SPEED UP THE DESIGN PROCESS USING
FINITE-DIFFERENCE TIME-DOMAIN METHOD
G. Zheng, A. A. Kishk, A. W. Gli on, and A. B. Yakovlev
Department of Electrical Engineering
Center for Applied Electromagnetic Systems Research (CAESR)
University of Mississippi
University, MS 38677, USA
Abstract—The finite-difference time-domain (FDTD) method is used
to obtain numerical solutions of infinite periodic structures without
resorting to the complex frequency-domain analysis, which is required
in traditional frequency-domain techniques. The field transformation
method is successfully used to model periodic structures with oblique
incident waves/scan angles. Maxwell’s equations are transformed
so that only a single period of the infinite periodic structure is
modeled in FDTD by using periodic boundary conditions (PBCs).
When modeling periodic structures with the transformed fields, the
standard Mur second-order absorbing boundary condition cannot be
used directly to absorb the outgoing waves. This paper presents a new
implementation of Mur’s second-order absorbing boundary condition
(ABC) with the transformed fields in the FDTD method. For designs
that require multi-parametric studies, Mur’s ABCs are efficient and
sufficient boundary conditions. If more accurate results are needed, the
perfectly matched layer (PML) ABC can be used with the parameters
obtained from the Mur solution.
1. INTRODUCTION
The finite-difference time-domain (FDTD) method has been widely
used for the analysis of electromagnetic scattering, radiation, and
propagation problems since it was first introduced by Yee [1]. The
FDTD method is simple and accurate without resorting to the
somewhat more complex traditional frequency-domain techniques,
such as Method of Moments
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