Experimental observation of FPU recurrence in a fiber ring laser

Zhao, Bin; Tang, Ding; Tam, Hwa Yaw

doi:10.1364/oe.11.003304

Cited by 12 publications

(7 citation statements)

References 9 publications

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“…If the background noise of a certain frequency fulfills the lasing condition, it could also start to lase and form a CW component in the soliton spectrum. We note that coexistence of solitons with CW is a generic effect of the soliton fiber lasers, and the phenomenon was reported by several authors [36,37]. Linear waves are intrinsically unstable in the cavity due to the modulation instability.…”

Section: Mechanism Of the Multiple Soliton Generation And Soliton Enesupporting

confidence: 71%

Mechanism of multisoliton formation and soliton energy quantization in passively mode-locked fiber lasers

et al. 2005

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We report results of numerical simulations on the multiple soliton generation and soliton energy quantization in a soliton fiber ring laser passively mode-locked by using the nonlinear polarization rotation technique. We found numerically that the formation of multiple solitons in the laser is caused by a peak power limiting effect of the laser cavity.It is also the same effect that suppresses the soliton pulse collapse, an intrinsic feature of solitons propagating in the gain media, and makes the solitons stable in the laser.Furthermore, we show that the soliton energy quantization observed in the lasers is a natural consequence of the gain competition between the multiple solitons. Enlightened by the numerical result we speculate that the multi-soliton formation and soliton energy quantization observed in other types of soliton fiber lasers could have similar mechanism.

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Section: Mechanism Of the Multiple Soliton Generation And Soliton Enesupporting

confidence: 71%

Mechanism of multisoliton formation and soliton energy quantization in passively mode-locked fiber lasers

et al. 2005

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“…Indeed, it has been recently predicted and experimentally observed that third-order dispersion induced losses into Cherenkov radiation may lead to irreversible energy dissipation of the pump field, which ultimately breaks the FPU recurrence [27,28]. As a matter of fact, experiments carried out so far in nonlinear fiber optics have not been able to demonstrate FPU recurrence beyond a single spatial period [15][16][17][18][19]. In addition, recent studies regarding noise-induced MI have highlighted the complex dynamics associated with the onset stage of noise amplification [29,30] and their intriguing links with the mechanisms underlying rogue waves formation in optical fiber [4,31].…”

Section: Introductionmentioning

confidence: 99%

“…In fact, the NLSE model predicts a fully reversible or spatially periodic power exchange among the pump, the initial modulation sidebands and all their harmonics. This process can be described in terms of exact solutions of the NLSE [9][10][11][12], and it has been experimentally observed in deep water waves [13,14], nonlinear optical fibers [15][16][17][18][19][20], nematic liquid crystals [21], magnetic film strip-based active feedback rings [22], and bimodal electrical transmission lines [23]. Useful physical insight into the qualitative dynamics of FPU recurrence, such as for example the presence of separatrix solutions, or the dependence of the FPU recurrence period upon the input relative phase between the pump and the initial modulation sidebands, may be obtained by using a three-wave truncation which leads to a fully integrable, one-dimensional equivalent particle model [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Instability and noise-induced thermalization of Fermi–Pasta–Ulam recurrence in the nonlinear Schrödinger equation

Wabnitz

Wetzel

2014

Physics Letters A

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We investigate the spontaneous growth of noise that accompanies the nonlinear evolution of seeded modulation instability into Fermi-Pasta-Ulam recurrence. Results from the Floquet linear stability analysis of periodic solutions of the three-wave truncation are compared with full numerical solutions of the nonlinear Schrödinger equation. The predicted initial stage of noise growth is in a good agreement with simulations, and is expected to provide further insight into the subsequent dynamics of the field evolution after recurrence breakup.

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“…If the background noise of a certain frequency fulfills the lasing condition, it could also start to lase and form a CW component in the soliton spectrum. We note that coexistence of solitons with CW is a generic effect of the soliton fiber lasers, and the phenomenon was reported by several authors [89,90]. It turns out that the multiple soliton formation in the laser is in fact caused by the peak power clamping effect of the cavity.…”

Section: Numerical Simulations and Resultssupporting

confidence: 70%

Soliton dynamics in passively mode-locked fiber lasers

Zhao¹

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Generation of ultrashort optical pulses is a rapidly evolving field including many scientific fundamental researches and various applications. Due to its compact structure, convenient collimation, flexible design, and improving pulse intensity of the generated pulses, fiber lasers have attracted more and more attention as a simple inexpensive ultrashort pulse source. Although the fiber lasers have been intensively studied, many features of the lasers are still unrevealed. In this thesis, a comprehensive experimental and theoretical investigation on the femtosecond soliton fiber lasers has been done. The primary emphasis is the nonlinear dynamics of the fiber lasers. Since even shorter pulse width and higher peak intensity are the ultimate objective of the ultrafast laser development, nonlinear dynamics related to the mutual interaction between the cavity components and the formed pulses of strong peak power is unavoidable. A thorough understanding of these dynamics has been indispensable for possible applications and fundamental researches. First of all, a passively mode-locked Erbium-doped fiber laser (PMEFL) with dispersionmanaged cavity exploiting the nonlinear polarization rotation technique was set up. The laser is operated in the negative net cavity dispersion regime. Various soliton operations of the laser were extensively investigated. Self-started mode locking was obtained in the laser simply by increasing the pump power provided the polarization state of the light was appropriately set. Upon mode locking, stable soliton operations of the laser could be achieved. Comparing with the solitons generated in the non-dispersion-managed fiber lasers, the solitons formed in the laser could have narrower pulse width and higher pulse

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Experimental observation of FPU recurrence in a fiber ring laser

Cited by 12 publications

References 9 publications

Mechanism of multisoliton formation and soliton energy quantization in passively mode-locked fiber lasers

Mechanism of multisoliton formation and soliton energy quantization in passively mode-locked fiber lasers

Instability and noise-induced thermalization of Fermi–Pasta–Ulam recurrence in the nonlinear Schrödinger equation

Soliton dynamics in passively mode-locked fiber lasers

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