Geodesic
Coupled dielectric waveguides with photonic crystal properties
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1931-1937

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A system of planar waveguides coupled through a periodic set of small windows is considered. It is shown that the weak periodic coupling of the waveguides leads to an additional eigenvalue band separated by a gap from the threshold of a continuous spectrum branch. Thus, the system has photonic crystal properties, which can be used to construct optical fiber devices. This system can also play the role of a SCISSOR device for reducing the group velocity of light, in optical delay lines, etc. 
@article{ZVMMF_2010_50_11_a6,
     author = {I. Yu. Popov and A. I. Trifanov and E. S. Trifanova},
     title = {Coupled dielectric waveguides with photonic crystal properties},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1931--1937},
     publisher = {mathdoc},
     volume = {50},
     number = {11},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a6/}
}
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I. Yu. Popov; A. I. Trifanov; E. S. Trifanova. Coupled dielectric waveguides with photonic crystal properties. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1931-1937. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a6/