Near-infrared Subwavelength Imaging and Focusing Analysis of a Square Lattice Photonic Crystal Made from Partitioned Cylinders

다국어 초록 (Multilingual Abstract)

We study the focusing properties of a two-dimensional square-lattice photonic crystal (PC) comprising silica and germanium partitioned cylinders in air background. The finite difference time domain (FDTD)method with periodic boundary condition is utilized to calculate the dispersion band diagram and the FDTD method incorporating the perfectly matched layer boundary condition is employed to simulate the image formation. In contrast to the common square PCs in which the negative refraction effect occurs in the first photonic band without negative phase propagation, in our suggested model system, the frequency with negative refraction exists in the second band and in near-infrared region. In this case, the wave propagates with a negative phase velocity and the evanescent waves can be supported. We also discuss the dependency of the image resolution and its location on surface termination, source location, and slab thickness.
According to the simulation results, spatial resolution of the proposed PC lens is below the radiation wavelength.

참고문헌 (Reference)

1 X. Wang, "Unrestricted superlensing in a triangular two dimensional photonic crystal" 12 : 2919-2924, 2004

2 K. M. Lin, "Uncoupled modes and all-angle negative refraction in walled honeycomb photonic crystals" 25 : C75-, 2008

3 M. Notomy, "Theory of light propagation in strongly modulated photonic crystals: refraction-like behavior in the vicinity of the photonic band gap" 62 : 10696-10705, 2000

4 V. G. Veselago, "The electromagnetic of substances with simultaneously negative value of ε and μ" 10 : 509-514, 1968

5 C. Luo, "Subwavelength imaging in photonic crystals" 68 : 045115-, 2003

6 G. Dolling, "Simultaneous negative phase and group velocity of light in a metamaterial" 312 : 892-894, 2006

7 Y. Cui, "Silicon-Based Thermo-Optically Tunable Photonic Crystal Lens" IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC 22 (22): 21-23, 2010

8 P. V. Parimi, "Photonic crystals: imaging by flat lens using negative refraction" 426 : 404-, 2003

9 Z. Tang, "Optical properties of a square-lattice photonic crystal within the partial band gap" 24 : 379-384, 2007

10 V. M. Shalaev, "Optical negative index metamaterials" 1 : 41-48, 2007

11 F. Xia, "Negative refraction subwavelength imaging in a hexagonal two-dimensional annular photonic crystal" 113 : 013109-, 2013

12 J. B. Pendry, "Negative refraction makes a perfect lens" 85 : 3966-3969, 2000

13 A. K. Iyer, "Mechanisms of subdiffraction free-space imaging using a transmission-line metamaterial superlens: an experimental verification" 92 : 131105-, 2008

14 Y. Cui, "Mechanically Tunable Negative-Index Photonic Crystal Lens" IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC 2 (2): 1003-1012, 2010

15 S. Xiao, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction" 85 : 4269-4271, 2004

16 M. Hofman, "Image reconstruction using a photonic crystal based flat lens operating at 1.55 μm" 49 : 5806-5813, 2010

17 H. W. Wang, "Focusing analysis of a complex photonic crystal slab with negative refraction" 405 : 4157-4162, 2010

18 A. Sukhovich, "Experimental and theoretical evidence for subwavelength imaging in photonic crystals" 102 : 154301-, 2009

19 Z. Y. Li, "Evaluation of lensing in photonic crystal slabs exhibiting negative refraction" 68 : 245110-, 2003

20 이종민, "Design of Ultra-wide Band-pass Filter Based on Metamaterials Applicable to Microwave Photonics" 한국광학회 16 (16): 288-291, 2012

21 Kyoung-Youm Kim, "Complete Tunneling of Light via Local Barrier Modes in A Composite Barrier with Metamaterials" 한국광학회 12 (12): 314-318, 2008

22 J. M. Algarin, "Analysis of the resolution of split-ring metamaterial lenses with application in parallel magnetic resonance imaging" 98 : 014105-, 2011

23 Y. J. Huang, "Alternative approach to all-angle negative refraction in two-dimensional photonic crystals" 76 : 013824-, 2007

24 J. Li, "All-angle negative refraction imaging effect with complex two-dimensional hexagonal photonic crystals" 102 : 073538-, 2007

25 M. Zedler, "A 3-D isotropic left-handed metamaterial based on the rotated transmission-line matrix scheme" 55 : 2930-2941, 2007