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Polarization-independent negative refraction effect in SiO2-GaAs annular photonic crystals
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10.1063/1.3677988
/content/aip/journal/jap/111/2/10.1063/1.3677988
http://aip.metastore.ingenta.com/content/aip/journal/jap/111/2/10.1063/1.3677988
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Schematic diagram of the triangular-lattice APC in X-Y plane. Dielectric cylinders (refractive index n 2) with radius r 2 are centered in air holes (n 1 = 1), with radius r 1 based on dielectric background (refractive index n 0). a is the lattice constant defined as the distance between the centers of two adjacent cylinders or air holes.

Image of FIG. 2.
FIG. 2.

(Color online) On condition that neff   = −1, the normalized frequency for TE polarization (ω TE), TM polarization (ω TM), and the frequency difference Δω vs air-holes radius r 1 in normal triangular-lattice air-holes PCs when r 2 = 0 and n 0 = 1.52. The inset shows the enlarged view of scanned curve for Δω.

Image of FIG. 3.
FIG. 3.

(Color online) The EFSs [(a)-(c)] and corresponding FDTD simulation of electric-field distribution [(d)-(f)] for normal triangular-lattice air-holes PCs with different values of r 1 when r 2 = 0 and n 0 = 1.52. In each FDTD simulation, a Gaussian point source with width of 0.5a is placed 0.5a away from the PC, which has a dimension of . In Fig. 3(b), for a given incident wave along direction , and represent the corresponding refractive direction for TE mode and TM mode, respectively.

Image of FIG. 4.
FIG. 4.

(Color online) The band structures of triangular-lattice air-holes PCs with different parameters. Points “A” and “B” correspond to the peak of TE-2 band and TM-2 band, respectively.

Image of FIG. 5.
FIG. 5.

(Color online) The band structures of triangular-lattice APCs with different values of r 2 when n 0 = 1.52, n 2 = 3.4, and r 1 = 0.40a. Points “A” and “B” correspond to the peak of TE-2 band and TM-2 band, respectively.

Image of FIG. 6.
FIG. 6.

(Color online) (a) On condition that neff  = −1, the common frequency ω com, frequency difference Δω, and radius r 2 vs radius r 1 in APCs when n 0 = 1.52 and n 2 = 3.4. The inset shows the enlarged view of scanned curve for Δω. (b) Systematic comparisons of the quarter EFS for different values of r 1 and r 2 in APCs. The negative refraction effect is absent for TE mode when r 1 is 0.42a. Such “disturbance” behavior is in agreement with that found in Fig. 6(a).

Image of FIG. 7.
FIG. 7.

(Color online) The band structures of triangular-lattice APCs with different values of r 1 and r 2 when n 0 = 1.52 and n 2 = 3.4. Points “A” and “B” correspond to the peak of TE-2 band and TM-2 band, respectively. Point “C” corresponds to the edge of TE-2 band.

Image of FIG. 8.
FIG. 8.

(Color online) The EFSs [(a)-(c)] and corresponding FDTD simulation of electric-field distribution [(d)-(f)] for APCs with different values of r 1 and r 2 when n 0 = 1.52 and n 2 = 3.4. In Fig. 8(a), for a given incident wave along direction , and represent the corresponding refractive direction for TE mode and TM mode, respectively. represents the maximum incident angle for negative refraction of TM mode, and it is about 32°, 37°, and 43° for Figs. 8(a)–8(c), respectively. (Right side of Fig. 8(f)): The cross-section distribution of normalized intensity for images in Fig. 8(f).

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/content/aip/journal/jap/111/2/10.1063/1.3677988
2012-01-23
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Polarization-independent negative refraction effect in SiO2-GaAs annular photonic crystals
http://aip.metastore.ingenta.com/content/aip/journal/jap/111/2/10.1063/1.3677988
10.1063/1.3677988
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