Application of the Modal CFS-PML-FDTD to the Analysis of Magnetic Photonic Crystal Waveguides

We develop a modal finite-difference time-domain (FDTD) method with a complex-frequency-shifted (CFS) perfectly matched layer (PML) to analyze magnetic photonic crystal (MPhC) waveguides. MPhCs are periodic structures with unit cell composed of two misaligned anisotropic dielectric layers and one ferromagnetic layer. Numerical results show that the proposed modal FDTD can reduce both memory and CPU costs by one order of magnitude or more compared to the conventional FDTD.

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

[2]  A. Cangellaris,et al.  Numerical stability and numerical dispersion of a compact 2-D/FDTD method used for the dispersion analysis of waveguides , 1993, IEEE Microwave and Guided Wave Letters.

[3]  A FDTD-based modal PML , 2006, IEEE Microwave and Wireless Components Letters.

[4]  W. Chew,et al.  Complex space approach to perfectly matched layers: a review and some new developments , 2000 .

[5]  Raj Mittra,et al.  Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers , 1996 .

[6]  Weng Cho Chew,et al.  Finite-difference computation of transient electromagnetic waves for cylindrical geometries in complex media , 2000, IEEE Trans. Geosci. Remote. Sens..

[7]  R. Lee,et al.  Chirping unit cell length to increase frozen-mode bandwidth in nonreciprocal MPCs , 2006, IEEE Transactions on Microwave Theory and Techniques.

[8]  K. Sertel,et al.  Miniature Antennas and Arrays Embedded Within Magnetic Photonic Crystals , 2006, IEEE Antennas and Wireless Propagation Letters.

[10]  Fernando L. Teixeira,et al.  Transient analysis of spectrally asymmetric magnetic photonic crystals with ferromagnetic losses , 2006 .

[11]  A. Figotin,et al.  Nonreciprocal magnetic photonic crystals. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  R. Lee,et al.  Frozen Modes in Parallel-Plate Waveguides Loaded With Magnetic Photonic Crystals , 2007, IEEE Transactions on Microwave Theory and Techniques.

[14]  Stephen D. Gedney,et al.  Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary media , 2000 .

[15]  Hyeongdong Kim,et al.  AN EFFICIENT FORMULATION OF A 1-D MODAL PML FOR WAVEGUIDE STRUCTURES , 1999 .

[16]  F. Moglie,et al.  A new termination condition for the application of FDTD techniques to discontinuity problems in close homogeneous waveguide , 1992, IEEE Microwave and Guided Wave Letters.