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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 11, Pages 1931–1937 (Mi zvmmf4962)

This article is cited in 9 papers

Coupled dielectric waveguides with photonic crystal properties

I. Yu. Popov, A. I. Trifanov, E. S. Trifanova

National Research University of Information Technologies, Mechanics, and Optics, Kronverkskii pr. 49, St. Petersburg, 197101 Russia

Abstract: 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.

Key words: system of planar waveguides, spectrum of the Helmholtz equation, continuous spectrum branches, optical fiber devices, variational method.

UDC: 519.634

Received: 06.02.2010
Revised: 25.05.2010


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:11, 1830–1836

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