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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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| Title: | Periodic waves in fiber Bragg gratings |
| Authors: | Chow, K W
Merhasin, Ilya M
Malamod, Borris A
Nakeeran, K
Senthilnathan, K
Wai, P K A |
| Issue Date: | 2008 |
| Publisher: | The American Physical Society |
| Citation: | Physical Review E, Vol 77, Iss 2, |
| Abstract: | We 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,... |
| Description: | Copyright for the published version belongs to APS |
| URI: | http://dx.doi.org/10.1103/PhysRevE.77.026602
http://hdl.handle.net/2080/792 |
| Appears in Collections: | Journal Articles
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| PRE_2008.pdf | | 223Kb | Adobe PDF | View/Open |
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