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Swift-Hohenberg equation with third-order dispersion for optical fiber resonators
- Publication Year :
- 2019
- Publisher :
- American Physical Society, 2019.
-
Abstract
- We investigate the dynamics of a ring cavity made of photonic crystal fiber and driven by a coherent beam working near to the resonant frequency of the cavity. By means of a multiple-scale reduction of the Lugiato-Lefever equation with high-order dispersion, we show that the dynamics of this optical device, when operating close to the critical point associated with bistability, is captured by a real order parameter equation in the form of a generalized Swift-Hohenberg equation. A Swift-Hohenberg equation has been derived for several areas of nonlinear science such as chemistry, biology, ecology, optics, and laser physics. However, the peculiarity of the obtained generalized Swift-Hohenberg equation for photonic crystal fiber resonators is that it possesses a third-order dispersion. Based on a weakly nonlinear analysis in the vicinity of the modulational instability threshold, we characterize the motion of dissipative structures by estimating their propagation speed. Finally, we numerically investigate the formation of moving temporal localized structures often called cavity solitons.
- Subjects :
- Physics
Optical fiber
Bistability
SUPERCONTINUUM GENERATION
MODULATIONAL INSTABILITIES
LOCALIZED STRUCTURES
TRANSVERSE PATTERNS
SOLITONS
DYNAMICS
Physics::Optics
01 natural sciences
010305 fluids & plasmas
law.invention
Swift–Hohenberg equation
Nonlinear system
Modulational instability
Resonator
Dissipative Solitons
law
Quantum electrodynamics
0103 physical sciences
Dissipative system
Nonlinear Cavity
010306 general physics
Swift-Hohenberg equation
Photonic-crystal fiber
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....b906567c4c833c919222544d3f40eeed