Time-domain analysis of periodic structures at oblique incidence: orthogonal and nonorthogonal FDTD implementations

A novel implementation of periodic boundary conditions incorporated into the finite-difference time-domain (FDTD) technique in both orthogonal and nonorthogonal grids is presented in this paper. The method applied is a field-splitting approach to the discretization of the Floquet-transformed Maxwell equations. As a result, the computational burden is reduced and the stability criterion is relaxed. The results of the two methods are compared to experimental data.

[1]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[2]  Jin Au Kong,et al.  A Finite-Difference Time-Domain Analysis of Wave Scattering from Periodic Surfaces: Oblique Incidence Case , 1993 .

[3]  Stephen D. Gedney,et al.  An Anisotropic PML Absorbing Media for the FDTD Simulation of Fields in Lossy and Dispersive Media , 1996 .

[4]  Leung Tsang,et al.  Electromagnetic scattering of waves by random rough surface: A finite-difference time-domain approach , 1991 .

[5]  Raj Mittra,et al.  Modeling three-dimensional discontinuities in waveguides using nonorthogonal FDTD algorithm , 1992 .

[6]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[7]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[8]  U. Navsariwala,et al.  An unconditionally stable finite element time-domain solution of the vector wave equation , 1995 .

[9]  R. Atkins,et al.  A finite difference-time domain approach for frequency selective surfaces at oblique incidence , 1996, IEEE Antennas and Propagation Society International Symposium. 1996 Digest.

[10]  James G. Maloney,et al.  Antenna design with the use of photonic band‐gap materials as all‐dielectric planar reflectors , 1996 .

[11]  Stephen D. Gedney,et al.  EFFICIENT IMPLEMENTATION OF THE UNIAXIAL-BASED PML MEDIA IN THREE-DIMENSIONAL NONORTHOGONAL COORDINATES WITH THE USE OF THE FDTD TECHNIQUE , 1997 .