Summary
International Symposium on Antennas and Propagation
2006
Session Number:1C2b
Session:
Number:1C2b-3
Comparison of Nonorthogonal FDTD and Yee’s Algorithm in Modelling Photonic Bandgap Structures
W Song, Y Hao, C G Parini,
pp.1-4
Publication Date:2006/11/2
Online ISSN:2188-5079
Summary:
Finite-Difference Time-Domain (FDTD) method has been widely used to study Photonic Bandgap (PBG) structures. However, staircasing approximation employed by Yee’s scheme for curved structures is noted to cause numerical errors when the wavelengths of interest are relative small with regard to the grid size. Consequently a high spatial resolution is required in the conventional Yee’s FDTD scheme. Nonorthogonal FDTD (NFDTD) method uses a conformal grid to discretize curved structures and hence requires less computer memory in the simulation. The tradeoff is the late time instability inherent in the NFDTD method. In this paper, the Yee’s algorithm and NFDTD are compared in modelling the photonic bandgap structures in terms of mesh sizes, numerical accuracy and the requirements on spatial resolution.