Gap solitons under competing local and nonlocal nonlinearities

Details Gap solitons under competing local and nonlocal nonlinearities Gap solitons under competing local and nonlocal nonlinearities

2011-05-09

arxiv.org/abs/1105.1565v1

Physics

Optics

8 pages, 9 figures; to be appeared in Phys. Rev. A

Scientific paper

We analyze the existence, bifurcations, and shape transformations of one-dimensional gap solitons (GSs) in the first finite bandgap induced by a periodic potential built into materials with local self-focusing and nonlocal self-defocusing nonlinearities. Originally stable on-site GS modes become unstable near the upper edge of the bandgap with the introduction of the nonlocal self-defocusing nonlinearity with a small nonlocality radius. Unstable off-site GSs bifurcate into a new branch featuring single-humped, double-humped, and flat-top modes due to the competition between local and nonlocal nonlinearities. The mechanism underlying the complex bifurcation pattern and cutoff effects (termination of some bifurcation branches) is illustrated in terms of the shape transformation under the action of the varying degree of the nonlocality. The results of this work suggest a possibility of optical-signal processing by means of the competing nonlocal and local nonlinearities.

Affiliated with

Also associated with

No associations

Rating

Gap solitons under competing local and nonlocal nonlinearities 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 Gap solitons under competing local and nonlocal nonlinearities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gap solitons under competing local and nonlocal nonlinearities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333170