Imaging property of two-dimensional quasiperiodic photonic crystals

¹ College of Precision Instrument and Opto-electronics Engineering, Tianjin University, Key Laboratory of Opto-electronics Information and Technical Science, Ministry of Education, Tianjin 300072, P.R. China
² Department of Physics, Beijing Normal University, Beijing 100875, P.R. China
³ Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, P.R. China

Corresponding author: renkun@tju.edu.cn

Received: 2 February 2008
Revised: 26 March 2008
Accepted: 10 April 2008
Published online: 4 June 2008

Abstract

In this paper, we investigate the propagation of electromagnetic wave in 12-fold symmetric quasiperiod structure employing finite difference time domain (FDTD) method. The quasiperiodic photonic crystal (QPC) consists of a dodecahedral lattice of air holes embedded in a dielectric background. Simulation on wave propagation through a wedge-shaped structure shows that negative refraction can occur at the interface between air and the quasicrystal sample. We further design QPC slab for performance of a high-quality flat lens. Simulation results reveal that non-near-field imaging can be achieved through the QPC slab. TM and TE modes are discussed and both the two modes exhibit the focusing effect. Since the air-hole type QPCs are more easily fabricated and integrated than the dielectric-rod type QPCs, our results might be important to the applications.