Instabilities in a dissipative soliton-similariton laser using a scalar iterative map

Meng, Fanchao; Lapre, Coraline; Billet, Cyril; Genty, Goëry; Dudley, John M.

doi:10.1364/ol.386110

Cited by 29 publications

(13 citation statements)

References 32 publications

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“…In contrast, with the inclusion of the nonlinearity, we were able to recover wave breaking and modulation instability, and found a sharp boundary of stability. These instabilities have been demonstrated in a laboratory setting [13,15,17,18,22], but, have proven difficult to predict with simple mathematical models [11]. We have shown a simple iterative map model is able to reproduce complicated instabilities arising naturally from the interplay between dispersion, modulation, and nonlinear effects.…”

Section: Discussionmentioning

confidence: 94%

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Predicting instabilities of a tuneable ring laser with an iterative map model

Metherall,

Bohun

2021

Preprint

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Simple mathematical models have been unable to predict the conditions leading to instabilities in a tuneable ring laser. Here, we propose a nonlinear iterative map model for tuneable ring lasers. Solving a reduced nonlinear Schrödinger equation for each component in the laser cavity, we obtain an algebraic map for each component. Iterating through the maps gives the total effect of one round trip. By neglecting the nonlinearity, we find a linearly chirped Gaussian to be the analytic fixed point solution, which we analyze asymptotically. We then numerically solve the full nonlinear model, allowing us to probe the underlying interplay of dispersion, modulation, and nonlinearity as the pulse evolves over hundreds of round trips of the cavity. In the nonlinear case, we find the chirp saturates, and the Fourier transform of the pulse becomes more rectangular in shape. Finally, for a nominal plane in the parameter space, we uncover a rich, sharp boundary separating the stable region and the unstable region where modulation instability degrades the pulse into an unsustainable state.

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Section: Discussionmentioning

confidence: 94%

“…Several effects arise within the cavity due to the interplay of dispersion, modulation, and nonlinearity [2,[7][8][9][10][11][12]. The two effects of most interest for us are wave breaking, and modulation instability.…”

Section: Introductionmentioning

confidence: 99%

Predicting instabilities of a tuneable ring laser with an iterative map model

Metherall,

Bohun

2021

Preprint

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“…For a given set of system parameters, the model seeks convergence to a particular operating state after injection of an initial seed (see ‘Methods’ section). Although scalar models have been shown to reproduce aspects of dissipative soliton laser dynamics qualitatively 59 , for quantitative comparison with experiments we implement a more complete approach based on coupled generalised vector nonlinear Schrödinger equations (NLSE). This was found essential to obtain quantitative agreement with experiments.…”

Section: Resultsmentioning

confidence: 99%

Intracavity incoherent supercontinuum dynamics and rogue waves in a broadband dissipative soliton laser

et al. 2021

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Understanding dynamical complexity is one of the most important challenges in science. Significant progress has recently been made in optics through the study of dissipative soliton laser systems, where dynamics are governed by a complex balance between nonlinearity, dispersion, and energy exchange. A particularly complex regime of such systems is associated with noise-like pulse multiscale instabilities, where sub-picosecond pulses with random characteristics evolve chaotically underneath a much longer envelope. However, although observed for decades in experiments, the physics of this regime remains poorly understood, especially for highly-nonlinear cavities generating broadband spectra. Here, we address this question directly with a combined numerical and experimental study that reveals the physical origin of instability as nonlinear soliton dynamics and supercontinuum turbulence. Real-time characterisation reveals intracavity extreme events satisfying statistical rogue wave criteria, and both real-time and time-averaged measurements are in quantitative agreement with modelling.

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“…Then, the PD from the following pulse to the first pulse are defined as PD2, PD3, etc., denoted by the variables (ϕ). Figure 3e lists two PDs as representatives containing oscillating and the diverging sliding phase [40]. The TS-DFT of five-soliton molecules with given phases as the simulated testing dataset show in Figure 3b.…”

Section: Soliton Molecular Structure Of Test Setmentioning

confidence: 99%

Comparing Performance of Deep Convolution Networks in Reconstructing Soliton Molecules Dynamics from Real-Time Spectral Interference

Liu

et al. 2021

Photonics

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Deep neural networks have enabled the reconstruction of optical soliton molecules with more complex structures using the real-time spectral interferences obtained by photonic time-stretch dispersive Fourier transformation (TS-DFT) technology. In this paper, we propose to use three kinds of deep convolution networks (DCNs), including VGG, ResNets, and DenseNets, for revealing internal dynamics evolution of soliton molecules based on the real-time spectral interferences. When analyzing soliton molecules with equidistant composite structures, all three models are effective. The DenseNets with layers of 48 perform the best for extracting the dynamic information of complex five-soliton molecules from TS-DFT data. The mean Pearson correlation coefficient (MPCC) between the predicted results and the real results is about 0.9975. Further, the ResNets in which the MPCC achieves 0.9906 also has the better ability of phase extraction than VGG which the MPCC is about 0.9739. The general applicability is demonstrated for extracting internal information from complex soliton molecule structures with high accuracy. The presented DCNs-based techniques can be employed to explore undiscovered mechanisms underlying the distribution and evolution of large numbers of solitons in dissipative systems in experimental research.

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Instabilities in a dissipative soliton-similariton laser using a scalar iterative map

Cited by 29 publications

References 32 publications

Predicting instabilities of a tuneable ring laser with an iterative map model

Predicting instabilities of a tuneable ring laser with an iterative map model

Intracavity incoherent supercontinuum dynamics and rogue waves in a broadband dissipative soliton laser

Comparing Performance of Deep Convolution Networks in Reconstructing Soliton Molecules Dynamics from Real-Time Spectral Interference

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