1. On homoclinic snaking in optical systems
- Author
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William J. Firth, Lorenzo Columbo, and Tommaso Maggipinto
- Subjects
Physics ,LOCALIZED STRUCTURES ,Applied Mathematics ,DYNAMICAL PROPERTIES ,General Physics and Astronomy ,Pattern formation ,Statistical and Nonlinear Physics ,MODULATIONAL INSTABILITIES ,Bifurcation diagram ,Nonlinear system ,Modulational instability ,Classical mechanics ,Quantum mechanics ,Homoclinic orbit ,BULK SEMICONDUCTOR MICROCAVITIES ,Nonlinear Sciences::Pattern Formation and Solitons ,CAVITY SOLITONS ,Mathematical Physics ,Bifurcation - Abstract
The existence of localized structures, including so-called cavity solitons, in driven optical systems is discussed. In theory, they should exist only below the threshold of a subcritical modulational instability, but in experiment they often appear spontaneously on parameter variation. The addition of a nonlocal nonlinearity may resolve this discrepancy by tilting the 'snaking' bifurcation diagram characteristic of such problems. (c) 2007 American Institute of Physics.
- Published
- 2007