Negative refraction of complex lattices of dielectric cylinders

Abstract Some photonic crystals (PCs) consisting of complex lattices of dielectric cylinders can have an effective refraction index ( n eff ) of −1. Subwavelength imaging by a slab of a honeycomb PC of dielectric cylinders with n eff = − 1 is investigated and an open resonator with a quality factor higher than 3000 is designed with the same PC. Air–PC interfaces with low reflection are also used for the slab lens and open resonator.

[1]  Wei-Hua Guo,et al.  Computation of resonant frequencies and quality factors of cavities by FDTD technique and Pade approximation , 2001 .

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

[3]  Sailing He,et al.  Open cavity formed by a photonic crystal with negative effective index of refraction. , 2005, Optics letters.

[4]  R. Shelby,et al.  Experimental Verification of a Negative Index of Refraction , 2001, Science.

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

[6]  V. Veselago The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .

[7]  Kai-Ming Ho,et al.  Light propagation in semi-infinite photonic crystals and related waveguide structures , 2003 .

[8]  K. Kempa,et al.  Negative refraction and subwavelength lensing in a polaritonic crystal , 2005 .

[9]  V. Gopalan,et al.  Symmetrical analysis of complex two-dimensional hexagonal photonic crystals , 2003 .

[10]  Xiangdong Zhang Xiangdong Zhang Image resolution depending on slab thickness and object distance in a two-dimensional photonic-crystal-based superlens , 2004 .

[11]  Zhiyuan Li,et al.  Photonic band structures solved by a plane-wave-based transfer-matrix method. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Willie J Padilla,et al.  Composite medium with simultaneously negative permeability and permittivity , 2000, Physical review letters.

[13]  Coupling between plane waves and Bloch waves in photonic crystals with negative refraction , 2005 .

[14]  Amadeu Griol,et al.  Experimental and theoretical analysis of the self-focusing of light by a photonic crystal lens , 2004 .

[15]  Kurt Hingerl,et al.  All-angle left-handed negative refraction in Kagomé and honeycomb lattice photonic crystals , 2006 .

[16]  Ekmel Ozbay,et al.  Negative refraction and superlens behavior in a two-dimensional photonic crystal , 2005 .

[17]  N. Engheta,et al.  An idea for thin subwavelength cavity resonators using metamaterials with negative permittivity and permeability , 2002, IEEE Antennas and Wireless Propagation Letters.

[18]  Sakoda Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices. , 1995, Physical review. B, Condensed matter.

[19]  Sailing He,et al.  Negative refraction of left-handed behavior in porous alumina with infiltrated silver at an optical wavelength , 2005 .

[20]  Sailing He,et al.  Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction , 2004 .

[21]  Masaya Notomi,et al.  Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap , 2000 .

[22]  Jouanin,et al.  Photonic band gaps in a two-dimensional graphite structure. , 1995, Physical review. B, Condensed matter.

[23]  Shuangchun Wen,et al.  Absolute left-handed behaviors in a triangular elliptical-rod photonic crystal. , 2005, Optics express.

[24]  D. Felbacq,et al.  Scattering by a random set of parallel cylinders , 1994 .

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

[26]  Steven G. Johnson,et al.  Subwavelength imaging in photonic crystals , 2003 .

[27]  Ekmel Ozbay,et al.  Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens , 2004 .

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

[29]  Xiwen Wang,et al.  Unrestricted superlensing in a triangular two dimensional photonic crystal. , 2004, Optics express.