Abstract
In this paper, negative refraction in the two-dimensional (2D) hexagonal lattices annular photonic crystal (APC) was theoretically studied. The annular photonic crystal was obtained by introduced circular-air-hole in the core of the Si-rod. The properties of the designed APC, such as photonic band structure, equal-frequency contours (EFCs) and the electric field distribution are analyzed by using Plane Wave Expansion (PWE) method and Finite-Difference Time-Domain (FDTD) method. Numerical simulations show that negative refraction and super-lens imaging can be realized in the designed annular photonic crystal for the normalized frequency from 0.2983(2πc/a) to 0.347(2πc/a). And it was also found that the resolution decreases linearly with the increasing of the inner radius.
Highlights
In 1968, Veselago first pointed out that the negative refraction phenomenon could be observed in the left-handed-materials (LHMs) which have the negative dielectric permittivity and negative magnetic permeability [1], Since LHMs have attracted a lot of attention
It was known that the negative refraction can be realized in photonic crystal (PhC) [3]-[5]
In 2002, Luo et al studied the negative refraction of the cubic photonic crystal and simulated the image of a point source by using Finite-difference time-domain (FDTD) method [6]
Summary
In 1968, Veselago first pointed out that the negative refraction phenomenon could be observed in the left-handed-materials (LHMs) which have the negative dielectric permittivity and negative magnetic permeability [1], Since LHMs have attracted a lot of attention. Theoretical and experimental results indicate that negative refraction phenomenon can be realized in the first band near the Brillouin zone center. This can be well explained by analyzing the equal-frequency contours (EFCs) of the first band structure. In 2002, Luo et al studied the negative refraction of the cubic photonic crystal and simulated the image of a point source by using Finite-difference time-domain (FDTD) method [6]. A two-dimensional (2D) hexagonal lattices annular photonic crystal (APC) was proposed. Negative refraction and subwavelength imaging of a point source are respectively demonstrated in the designed two-dimensional hexagonal lattices annular photonic crystal (APC) by the Finite-Difference TimeDomain (FDTD) method. It was found that the resolution decreases linearly with the increasing of the inner radius
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