Nonlinear guided waves and spatial solitons in a periodic layered medium
| dc.creator | Sukhorukov, Andrey A. | |
| dc.creator | Kivshar, Yuri S. | |
| dc.date | 2001-05-31 | |
| dc.date.accessioned | 2026-07-07T12:58:40Z | |
| dc.date.available | 2026-07-07T12:58:40Z | |
| dc.description | We overview the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by a sequence of linear and nonlinear layers. First, we consider a single layer with a cubic nonlinear response (a nonlinear waveguide) embedded into a periodic layered linear medium, and describe nonlinear localized modes (guided waves and Bragg-like localized gap modes) and their stability. Then, we study modulational instability as well as the existence and stability of discrete spatial solitons in a periodic array of identical nonlinear layers, a one-dimensional nonlinear photonic crystal. Both similarities and differences with the models described by the discrete nonlinear Schrodinger equation (derived in the tight-binding approximation) and coupled-mode theory (valid for the shallow periodic modulations) are emphasized. | |
| dc.description | 10 pages, 14 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0105073 | |
| dc.identifier | http://arxiv.org/abs/nlin/0105073 | |
| dc.identifier | J. Opt. Soc. Am. B 19, 772-781 (2002) | |
| dc.identifier | doi:10.1364/JOSAB.19.000772 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225320 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.subject | Condensed Matter | |
| dc.subject | Optics | |
| dc.title | Nonlinear guided waves and spatial solitons in a periodic layered medium | |
| dc.type | text |