Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/4374
| Title: | Solitons in Bragg gratings with saturable nonlinearities | Authors: | Merhasin, IM Malomed, BA Senthilnathan, K Nakkeeran, K Wai, PKA Chow, KW |
Issue Date: | 1-Jul-2007 | Source: | Journal of the Optical Society of America B : optical physics, 1 July 2007, v. 24, no. 7, p. 1458-1468 | Abstract: | We introduce two different systems of coupled-mode equations to describe the interaction of two waves coupled by the Bragg reflection in the presence of saturable nonlinearity. The basic model assumes the ordinary linear coupling between the modes. It may be realized as a photorefractive waveguide, with a Bragg lattice permanently written in its cladding. We demonstrate the presence of a cutoff point in the system’s bandgap, with gap solitons existing only on one side of it. Close to this point, the soliton’s norm diverges with power −3/2. The soliton family between the cutoff point and the edge of the bandgap is stable. In this model, stationary bound states of two in-phase solitons are found too, but they are unstable, transforming themselves into breathers. Another model assumes a photoinduced longitudinal bulk grating, with the corresponding intermode coupling subject to saturation along with the nonlinearity. In that model, another cutoff point is found, with the soliton’s norm diverging near it with power −2. Solitons are stable in this model too (while it does not give rise to two-soliton bound states). Collisions between moving solitons are always quasi-elastic, in either model. | Keywords: | Cladding (coating) Control nonlinearities Energy gap Mathematical models Photorefractive materials Reflection Solitons |
Publisher: | Optical Society of America | Journal: | Journal of the Optical Society of America B : optical physics | ISSN: | 0740-3224 | EISSN: | 1520-8540 | DOI: | 10.1364/JOSAB.24.001458 | Rights: | © 2007 Optical Society of America. This paper was published in Journal of the Optical Society of America B and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-7-1458. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law. |
| Appears in Collections: | Journal/Magazine Article |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Merhasin_Solitons_Bragg_gratings.pdf | 842.67 kB | Adobe PDF | View/Open |
Access
View full-text via PolyU eLinks 
Page views
138
Last Week
1
1
Last month
Citations as of May 28, 2023
Downloads
171
Citations as of May 28, 2023
SCOPUSTM
Citations
13
Last Week
0
0
Last month
0
0
Citations as of Jun 1, 2023
WEB OF SCIENCETM
Citations
12
Last Week
0
0
Last month
0
0
Citations as of Jun 1, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.