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Efficient beaming from photonic crystal waveguides via self-collimation effect
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View: Figures


Image of FIG. 1.
FIG. 1.

(Color online) (a) Schematic sketch of a photonic crystal (PC-1) W1 waveguide cascaded with another photonic crystal (PC-2). PC-1 is formed by dielectric cylinders according to square lattice in vacuum. The RI and radius of the cylinder are and , respectively, with the lattice constant of PC-1. PC-2 is the same with PC-1 except for , i.e, and . (b) Dispersion relation of W1 waveguide, and is a typical guiding frequency of W1. (c) EFS of PC-2 at the frequencies of .

Image of FIG. 2.
FIG. 2.

(Color online) Field pattern of at the frequency of for different structures of PC-1 and PC-2. The small circles show the structure of PC-1 and PC-2. (a) Direct emission of W1 waveguide. (b) Direct emission of W1 waveguide with four cylinders at the exit surface removed [shown in Fig. 1(a) by the four gray solid circles]. (c) PC-2 is added to the transmission surface of PC-1 with , , and .

Image of FIG. 3.
FIG. 3.

(Color online) Transmission coefficients of at different values of and . (a) (circle marked line), (triangle marked line), (asterisk marked line), (square marked line), and are unchanged. (b) (triangle marked line), (asterisk marked line), (square marked line), (circle marked line) and are unchanged.

Image of FIG. 4.
FIG. 4.

(Color online) (a) Normalized transmission coefficients for different values of , while and are determined. (b) Field map of at the case of ( and ) and the frequency of . (c) Time-averaged profiles along direction at the center of the second and third layers of PC-2 [as shown in (b) by the dashed vertical line].


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Efficient beaming from photonic crystal waveguides via self-collimation effect