Title :
Dispersive Periodic Boundary Conditions for Finite-Difference Time-Domain Method
Author :
ElMahgoub, Khaled ; Elsherbeni, Atef Z. ; Fan Yang
Author_Institution :
Dept. of Electr. Eng., Univ. of Mississippi, Oxford, MS, USA
fDate :
4/1/2012 12:00:00 AM
Abstract :
A dispersive periodic boundary condition (DPBC) is developed for the finite-difference time-domain method to analyze periodic structures with dispersive media on the boundaries of a unit cell. The formulation is based on the auxiliary differential equation (ADE) method with a two-term Debye model and the constant horizontal wavenumber approach. The developed formulation is easy to implement and is efficient in both memory usage and computational time. The validity of this formulation is verified through several numerical examples such as infinite dispersive slab and sandwiched composite frequency selective surface (FSS) structure.
Keywords :
computational electromagnetics; differential equations; dispersive media; electromagnetic wave scattering; finite difference time-domain analysis; periodic structures; auxiliary differential equation; computational time; constant horizontal wavenumber approach; dispersive media; dispersive periodic boundary conditions; finite difference time-domain method; infinite dispersive slab; memory usage; periodic structures; sandwiched composite frequency selective surface; two-term Debye model; unit cell boundary; Dispersion; Equations; Finite difference methods; Mathematical model; Media; Periodic structures; Time domain analysis; Auxiliary differential equation; Debye model; dispersive media; finite-difference time-domain (FDTD); periodic boundary conditions (PBC);
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2012.2186243
