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Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/792

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contributor.authorChow, K W-
contributor.authorMerhasin, Ilya M-
contributor.authorMalamod, Borris A-
contributor.authorNakeeran, K-
contributor.authorSenthilnathan, K-
contributor.authorWai, P K A-
identifier.citationPhysical Review E, Vol 77, Iss 2,en
descriptionCopyright for the published version belongs to APSen
description.abstractWe construct two families of exact periodic solutions to the standard model of fiber Bragg grating FBG with Kerr nonlinearity. The solutions are named “sn” and “cn” waves, according to the elliptic functions used in their analytical representation. The sn wave exists only inside the FBG’s spectral bandgap, while waves of the cn type may only exist at negative frequencies 0, both inside and outside the bandgap. In the long-wave limit, the sn and cn families recover, respectively, the ordinary gap solitons, and unstable antidark and dark solitons. Stability of the periodic solutions is checked by direct numerical simulations and, in the case of the sn family, also through the calculation of instability growth rates for small perturbations. Although, rigorously speaking, all periodic solutions are unstable, a subfamily of practically stable sn waves, with a sufficiently large spatial period and 0, is identified. However, the sn waves with 0, as well as all cn solutions, are strongly unstable.en
format.extent229209 bytes-
publisherThe American Physical Societyen
titlePeriodic waves in fiber Bragg gratingsen
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