摘要We give an analysis of the frequency distribution trends in the four lowest bands of two-dimensional square lattices formed by holographic lithography (HL) and in the lattices of the same kind but with regular dielectric columns with increasing filling ratios, and then present a comparative study on the left-handed properties in these two kinds of structures using plane wave expansion method and finite-difference time-domain (FDTD) simulations. The results show that the left-handed properties are more likely to exist in structures with large high-epsilon filling ratios or in a connected lattice.
Abstract：We give an analysis of the frequency distribution trends in the four lowest bands of two-dimensional square lattices formed by holographic lithography (HL) and in the lattices of the same kind but with regular dielectric columns with increasing filling ratios, and then present a comparative study on the left-handed properties in these two kinds of structures using plane wave expansion method and finite-difference time-domain (FDTD) simulations. The results show that the left-handed properties are more likely to exist in structures with large high-epsilon filling ratios or in a connected lattice.
[1] Veselago V G 1967 Uspekhi Fiz. Nauk. 92 517 [2] Shelby R A, Smith D R and Schultz S 2001 Science 292 77 [3] Pendry J B, Holden A J, Robbin\textsc{s D J and Stewart W J 1999 IEEE Trans. Microwave Theor. Technol. 47 2075. [4] Li J et al 2003 Phys. Rev. Lett. 90 083901 [5] Chen L et al 2004 Phys. Rev. Lett. 92 107404 [6] Notomi M 2000 Phys. Rev. B 62 10696 [7] Luo C et al 2003 Phys. Rev. B 68 045115 [8] Cubukcu E et al 2003 Phys. Rev. Lett. 91 207401 [9] Foteinopoulou S et al 2003 Phys. Rev. Lett. 90 107402 [10] Pendry J B 2000 Phys. Rev. Lett. 85 3966 [11] Moussa R et al 2005 Phys. Rev. B 71 085106 [12] Guven K et al 2004 Phys. Rev. B 70 205125 [13] Mart\'{\inez A et al 2004 Phys. Rev. B 69 165119 [14] Foteinopoulou1 S and Soukoulis C M 2005 Phys. Rev. B 72 165112 [15] Gaji\'c R, Meisels R, Kuchar F and Hingerl K 2005 Opt. Express 13 8596 [16] Ao X Y and He S L 2004 Opt. Lett. 29 2542 [17] Lai N D, Liang W P, Lin H L and Hsu C C 2005 Opt. Express 13 5331 [18] Robert C G and Alexei I 2004 Opt. Express 12 990 [19] Campbell M et al 2000 Nature 404 53 [20] Cai L Z et al 2006 J. Opt. Soc. Am. B 23 1708 [21] Ho K M, Chan C T and Soukoulis C M 1990 Phys. Rev. Lett. 65 3152 [22] Gedney S D 1996 IEEE Trans. Antennas Propagat. 44 1630 [23] Shen X X et al 2007 Opt. Express 15 8003
2008, Vol. 25 
