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Phys. Rev. E 69, 055602(R) (2004) [4 pages]

Controlling light by light in a one-dimensional resonant photonic crystal

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B. I. Mantsyzov1, I. V. Mel’nikov2, and J. Stewart Aitchison2
1Department of Physics, M. V. Lomonosov Moscow State University, Vorobijevy Gory, Moscow 119899, Russian Federation
2The E. S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, 10 King’s College Road, Toronto, Ontario, Canada M5S 3G4

Received 14 October 2003; published 20 May 2004

We consider the interaction and stability of gap solitons in a one-dimensional, resonant, photonic crystal with a defect state produced by a linear localized mode, or by an incoherent pump. Soliton propagation is investigated using both an analytical treatment and the direct numerical integration of the two-wave Maxwell-Bloch equations. Our results demonstrate that the soliton can be trapped, reflected from, or tunnel through the defect state.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.055602
DOI:
10.1103/PhysRevE.69.055602
PACS:
42.70.Qs, 42.55.Tv, 42.50.Gy, 02.30.Jr