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Real-time dynamics of soliton collision in a bound-state soliton fiber laser
摘要： We experimentally investigated the soliton collisions between soliton molecules and deuterogenic solitons spontaneously generated on the continuous wave (cw) noise background in an ultrafast erbium-doped fiber laser mode locked with MoS2 saturable absorber (SA). The dynamics of the soliton collisions were observed using the time-stretch dispersion Fourier transform technique. The noise-induced deuterogenic solitons first undergo spectral broadening and wavelength shifting, then collide successively with a soliton molecule and eventually vanish. Within the simple collision framework, the spectral-temporal dynamics of soliton collision would help to unveil the self-stabilization mechanism of the soliton molecules in consideration of dispersive wave shedding. This nonlinear dynamics is similar to the soliton rain, except that complex condensed soliton phase is substituted with a soliton molecule.
关键词： time-stretch dispersive Fourier transform.,soliton molecule,molybdenum disulfide,soliton collision
更新于2025-09-12 10:27:22
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[IEEE 2019 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC) - Munich, Germany (2019.6.23-2019.6.27)] 2019 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC) - Generation of Rogue-Like Pulses via Stimulated Soliton Collision in Dispersion Oscillating Optical Fiber
摘要： In the case of optical supercontinuum generation, rogue waves can appear as rare solitons, possessing anomalously large peak intensity [1]. To stimulate the generation of high-intensity pulses, the use of the modulation of the fiber dispersion is proposed. The propagation of optical soliton in a fiber with variable dispersion is described by nonlinear Schr?dinger equation [2] ????/???? + ??(??(cid:2870)/2)[1 + 0.2sin(2????/??(cid:3040))](??(cid:2870)??/????(cid:2870)) = ??????(??)|??(??, ??)|(cid:2870), where ??(??, ??) is the electric field amplitude, z is the propagation distance, t is the local time, ??(cid:2870) is the group- velocity dispersion parameter, zm is the modulation period, ?? is the nonlinear coefficient, ??(??) = (1 ? ??(cid:3019))??(??) + ??(cid:3019)?(cid:3019)(??) is the nonlinear response function, which includes both instantaneous Kerr nonlinearity and stimulated Raman scattering, ??(cid:3019) = 0.18 [3]. The initial field was assumed as superposition of two in-phase fundamental solitons ??(0, ??) = ??(cid:2868)sech(??/??(cid:2868) ? ??/2) + ??(cid:2868)sech(??/??(cid:2868) + ??/2), where ??(cid:2868) = 1.13 ps is the initial pulse width, ?? = 6 is the initial pulse separation. In a fiber without dispersion modulation (zm=∞) the collision of two in- phase solitons is suppressed due to effect of stimulated Raman scattering. Dispersion modulation with zm=0.85 km induces fusion of the solitons into high-intensity pulse at z=5 km (fig.1a). The peak power (fig.1a, top) is two times higher than the same for unperturbed case (zm=∞). The high-intensity pulse propagates up to z=10 km before fission onto two solitons propagating with different group velocities. The eigenvalue analysis of the soliton propagation in the fig.1b is shown. Each of the discrete eigenvalue λ of Zakharov-Shabat spectral problem is associated with fundamental soliton [3]. The real part Re(λ) and imaginary part Im(λ) give the soliton frequency shift and soliton energy correspondingly. Initial field ??(0, ??) has two imaginary eigenvalues λ1= i0.502 and λ2= i0.497. At the initial state of propagation (z<5 km) these eigenvalues are changed synchronously (fig.1b). The high intensity pulse (5 km<z<10 km) is formed by two-soliton breather. Nonlinear interference between these solitons gives high-intensity oscillations (fig.1a, top). In the process of the soliton fusion the energy of the first soliton increases while the energy of the second is suppressed. At z=7.5 km we have Im(λ1)=0.6 (curve 1, fig.1b) and Im(λ2)=0.04 (curve 2, fig.1b). Due to stimulated Raman scattering, the solitons acquire different group velocities, which are defined by Re(λ) (fig.1b, bottom). As a result, the breather splits into two separate solitons (z>10 km). The dispersion oscillation fibers rearranges eigenvalues in the complex plane [Re(λ), Im(λ)]. This phenomenon can be used for all-optical encoding in fiber-optics eigenvalue communication links.
关键词： stimulated Raman scattering,soliton collision,nonlinear Schr?dinger equation,rogue waves,dispersion oscillating optical fiber
更新于2025-09-12 10:27:22