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Band gap optimization of finite photonic structures using apodization method
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10.1063/1.2359226
/content/aip/journal/jap/100/8/10.1063/1.2359226
http://aip.metastore.ingenta.com/content/aip/journal/jap/100/8/10.1063/1.2359226
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) (a) Finite crystal with uniform cylinders. (b) Rectangular window function with respect to the radius of the cylinders in and coordinates. (c) Photonic band diagram (normalized real frequency vs the background wave vector ) and density of states vs normalized real frequency.

Image of FIG. 2.
FIG. 2.

(Color online) Comparison of the group refractive index vs real frequency between the finite structure and the corresponding infinite ideal one (a) in the direction, (b) in the direction, (c) in the direction, and (d) the imaginary part of the group refractive index vs real frequency in the three directions.

Image of FIG. 3.
FIG. 3.

(Color online) (a) Two kinds of window functions with respect to the radii of the cylinders, [(b) and (c)] The band gap edges are changed with the parameters variation for the chirped window function (b) and the apodized function (c). (d) Photonic band diagram and density of states vs normalized real frequency.

Image of FIG. 4.
FIG. 4.

(Color online) Comparison of the group index vs real frequency between the Hamming and chirp windows (a) in the direction, (b) in the direction, and (c) in the direction.

Image of FIG. 5.
FIG. 5.

(Color online) (a) The band gap edges are changed with the parameter variation in the apodization window function with respect to the refractive index. (b) Photonic band diagram and density of states vs normalized real frequency.

Image of FIG. 6.
FIG. 6.

(Color online) The band gap edges are changed with the parameter of a Gaussian function with respect to the distance between two adjacent cylinders.

Image of FIG. 7.
FIG. 7.

(Color online) (a) The band gap edges are changed with the parameter variation in the combining apodization of the radius and distance. (b) Photonic band diagram and density of states vs normalized real frequency.

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/content/aip/journal/jap/100/8/10.1063/1.2359226
2006-10-18
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Band gap optimization of finite photonic structures using apodization method
http://aip.metastore.ingenta.com/content/aip/journal/jap/100/8/10.1063/1.2359226
10.1063/1.2359226
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