Periodic waves in fiber Bragg gratings

Details Periodic waves in fiber Bragg gratings Periodic waves in fiber Bragg gratings

Feb 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008phrve..77b6602c&link_type=abstract

Physical Review E, vol. 77, Issue 2, id. 026602

Mathematics

Logic

5

Solitons, Tunneling, Josephson Effect, Bose-Einstein Condensates In Periodic Potentials, Solitons, Vortices, And Topological Excitations, Dynamic Properties Of Condensates, Collective And Hydrodynamic Excitations, Superfluid Flow, Optical Solitons, Nonlinear Guided Waves

Scientific paper

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 (ω<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 ω>0 , is identified. However, the sn waves with ω<0 , as well as all cn solutions, are strongly unstable.

Affiliated with

Also associated with

No associations

Rating

Periodic waves in fiber Bragg gratings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Periodic waves in fiber Bragg gratings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic waves in fiber Bragg gratings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1529117