Noise induced creation and annihilation of solitons in dispersion managed fiber oscillators

T. Teamir, F. Ilday
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Abstract

Optical solitons and their interaction with other solitons or with dispersive wave shed by solitons under perturbation constitute a versatile experimental and theoretical platform for studying the nature of complex dynamics occurring in laser cavities [1-3] in addition to common physical principles in terms with a range of other nonlinear, non-equilibrium, coupled systems outside of optics. A soliton is energy localization of dissipative structures of electric field which evolves from noise in laser cavities. It is stationary solution of nonlinear Schrödinger equation that balances the effects of chromatic dispersion with nonlinearity during propagation in a medium. Strong pumping in soliton regime drives a laser system in to a multi pulsing self-organized system. Such a system in fiber medium is ubiquitous and always attracts research interest. Multi-soliton pulses or soliton bunches generated from different systems through a long range interaction due to acoustic waves generated from electrostriction and its perturbation induced refractive index change of the medium by a propagating pulse on the next pulse in the neighborhood. A short range interaction can occur as a result of pulses overlapping, acoustoptic interaction or it can occur when dispersive waves at the tail of pulses interact with a back ground field or with solitons near to its.
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色散管理光纤振荡器中孤子的噪声诱导产生和湮灭
光学孤子及其与其他孤子的相互作用或与扰动下孤子散射的色散波的相互作用构成了一个通用的实验和理论平台,用于研究激光腔中发生的复杂动力学的性质[1-3],以及与光学以外的一系列其他非线性、非平衡、耦合系统相关的常见物理原理。孤子是由激光腔内噪声演化而来的电场耗散结构的能量局域化。在介质中传播过程中,平衡色散与非线性影响的是非线性Schrödinger方程的平稳解。孤子区强抽运驱动激光系统进入多脉冲自组织系统。这种系统在光纤介质中普遍存在,一直是人们研究的热点。由电致伸缩产生的声波及其扰动引起介质折射率的变化,通过一个传播脉冲在邻域内的下一个脉冲上传播而产生的多孤子脉冲或孤子束,在不同系统中产生的多孤子脉冲或孤子束。短距离相互作用可以发生在脉冲重叠、声学相互作用的结果中,也可以发生在脉冲尾部的色散波与背景场或与其附近的孤子相互作用时。
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