Periodic FDTD modeling of 3D photonic crystals

In this paper application of FDTD method supplemented with periodic boundary conditions to the analysis of three-dimensional photonic crystals is presented. For that purpose, a model of body-centered cubic dielectric lattice is introduced and investigated. Complex-looped FDTD algorithm is applied for the computation of a photonic bandgap diagram in the first irreducible Brillouin zone revealing dispersive properties of the lattice.

[1]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[2]  Wei Hong,et al.  Finite-difference frequency-domain algorithm for modeling guided-wave properties of substrate integrated waveguide , 2003 .

[3]  Baojun Li,et al.  Terahertz photonic crystal switch in silicon based on self-imaging principle. , 2006, Optics express.

[4]  Jianming Jin,et al.  Analysis of periodic structures via a time-domain finite-element formulation with a Floquet ABC , 2006, IEEE Transactions on Antennas and Propagation.

[5]  Sailing He,et al.  Proposal for an Ultracompact Polarization-Beam Splitter Based on a Photonic-Crystal-Assisted Multimode Interference Coupler , 2007, IEEE Photonics Technology Letters.

[6]  J. Joannopoulos,et al.  High Transmission through Sharp Bends in Photonic Crystal Waveguides. , 1996, Physical review letters.

[7]  Shanhui Fan,et al.  3D Metallo-Dielectric Photonic Crystals with Strong Capacitive Coupling between Metallic Islands , 1998 .

[8]  M. Celuch-Marcysiak,et al.  Spatially looped algorithms for time-domain analysis of periodic structures , 1995 .

[9]  W.-P. Huang,et al.  Design and optimization of photonic crystal fibers for broad-band dispersion compensation , 2003, IEEE Photonics Technology Letters.

[10]  Steven G. Johnson,et al.  Molding the flow of light , 2001, Comput. Sci. Eng..

[11]  Steven G. Johnson,et al.  Photonic Crystals: Molding the Flow of Light , 1995 .

[12]  S. Shi,et al.  Three-dimensional photonic crystal flat lens by full 3D negative refraction. , 2005, Optics express.

[13]  Steven G. Johnson,et al.  Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis. , 2001, Optics express.

[14]  Steven G. Johnson,et al.  All-angle negative refraction in a three-dimensionally periodic photonic crystal , 2002 .

[15]  Eli Yablonovitch,et al.  Radiation properties of a planar antenna on a photonic-crystal substrate , 1993 .