Dynamics of the modulation instability spectrum in optical fibers with oscillating dispersion

Droques, Maxime; Kudlinski, Alexandre; Bouwmans, Géraud; Martinelli, G.; Mussot, Arnaud

doi:10.1103/physreva.87.013813

Cited by 47 publications

(67 citation statements)

References 27 publications

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“…The first feature is explained by the evolution of the gain coefficient according to Eq. (5) which leads, for some values of the argument, to the annihilation of the sideband amplitude, as it was already confirmed experimentally in [11]. On the other hand, the second feature is linked to FWM between the pump wave and the first QPM sideband, and the subsequent cascading of the FWM process, as it was previously discussed and demonstrated experimentally in [9].…”

Section: Influence Of the Amplitude Of The Dispersion Fluctuationsupporting

confidence: 51%

“…. .. More recently, it has been shown that the gain experienced by the pth sidebands after a propagation length L can be predicted by the formula [11]:…”

Section: Model and Situation Under Investigationmentioning

confidence: 99%

“…We unveil the emergence of new sidebands, as well as their unexpected splitting in sub-sidebands. As we shall see, the emergence of new sidebands may be qualitatively described by extending to a continuum set of frequencies the analytical theory that was established in [11] for a discrete set of sidebands. We also present a detailed study of the influence of optical losses on the profile and splitting of MI sidebands in a DOF.…”

Section: Introductionmentioning

confidence: 99%

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Gain sideband splitting in dispersion oscillating fibers

Finot

Fang

Chembo

et al. 2014

Optical Fiber Technology

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a b s t r a c tWe analyze the modulation instability spectrum in a varying dispersion optical fiber as a function of the dispersion oscillation amplitude. For large dispersion oscillations, we predict a novel sideband splitting into different sub-sidebands. The emergence of the new sidebands is observed whenever the classical perturbation analysis for parametric resonances predicts vanishing sideband amplitudes. The numerical results are in good quantitative agreement with Floquet or Bloch stability analysis of four-wave mixing in the periodic dispersion fiber. We have also shown that linear gain or loss may have a dramatic influence in reshaping the new sidebands.

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Section: Influence Of the Amplitude Of The Dispersion Fluctuationsupporting

confidence: 51%

“…. .. More recently, it has been shown that the gain experienced by the pth sidebands after a propagation length L can be predicted by the formula [11]:…”

Section: Model and Situation Under Investigationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Gain sideband splitting in dispersion oscillating fibers

Finot

Fang

Chembo

et al. 2014

Optical Fiber Technology

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“…processes such as second harmonic generation and different frequency generation, and QPM can also be used to satisfy the phase-matching conditions for DW generation [27][28][29][30][31].…”

Section: Figmentioning

confidence: 99%

“…The periodic modulation of the waveguide can enable numerous QPM orders, both positive and negative, which can allow QPM-DW generation to the fundamental mode and to higher-order modes (circles), producing a spectrum with many peaks (e). Note: the index curvature is exaggerated to better show phase-matching.arXiv:1710.03821v2 [physics.optics] 7 Dec 2017 2 processes such as second harmonic generation and different frequency generation, and QPM can also be used to satisfy the phase-matching conditions for DW generation [27][28][29][30][31].Here we show that periodic modulations of the effective mode area can enable QPM of DW generation in photonic silicon nitride (Si 3 N 4 ) waveguides, enhancing the intensity of the supercontinuum in specific spectral regions determined by the modulation period. Experimentally, we utilize a sinusoidal modulation of the waveguide width to enable first-order QPM to the TE 20 mode.…”

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confidence: 99%

Quasi-Phase-Matched Supercontinuum Generation in Photonic Waveguides

et al. 2018

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Supercontinuum generation in integrated photonic waveguides is a versatile source of broadband light, and the generated spectrum is largely determined by the phase-matching conditions. Here we show that quasi-phase-matching via periodic modulations of the waveguide structure provides a useful mechanism to control the evolution of ultrafast pulses during supercontinuum generation. We experimentally demonstrate quasi-phase-matched supercontinuum to the TE20 and TE00 waveguide modes, which enhances the intensity of the SCG in specific spectral regions by as much as 20 dB. We utilize higher-order quasi-phase-matching (up to the 16 th order) to enhance the intensity in numerous locations across the spectrum. Quasi-phase-matching adds a unique dimension to the design-space for SCG waveguides, allowing the spectrum to be engineered for specific applications. Supercontinuum generation (SCG) is a χ(3) nonlinear process where laser pulses of relatively narrow bandwidth can be converted into a continuum with large spectral span [1][2][3]. SCG has numerous applications, including self-referencing frequency combs [4][5][6], microscopy [7], spectroscopy [8], and tomography [9]. SCG is traditionally accomplished using bulk crystals or nonlinear fiber, but recently, "photonic waveguides" (on-chip waveguides produced using nanofabrication techniques) have proven themselves as a versatile platform for SCG, offering small size, high nonlinearity, and increased control over the generated spectrum [10][11][12][13][14][15][16][17][18][19]. The spectral shape and efficiency of SCG is determined by the input pulse parameters, the nonlinearity of the material, and the refractive index of the waveguide, which determines the phasematching conditions. Specifically, when phase-matching between a soliton and quasi-continuous-wave (CW) light is achieved, strong enhancements of the intensity of the supercontinuum spectrum can occur in certain spectral regions. These spectral peaks are often referred to as a dispersive waves (DWs) [2,[20][21][22], and they are often crucial for providing sufficient spectral brightness for many applications. The soliton-DW phase-matching condition is typically satisfied by selecting a material with a favorable refractive index profile and engineering the dimensions of the waveguide to provide DWs at the desired wavelengths [15,16]. However, there are limitations to the refractive index profile that can be achieved by adjusting only the waveguide cross-section. Quasi-phase-matching (QPM) takes a different approach, utilizing periodic modulations of the material nonlinearity to achieve an end-result similar to true phase-matching [23][24][25][26]. QPM is routinely employed to achieve high conversion efficiency for nonlinear * danhickstein@gmail.com FIG. 1.a,b) Quasi-phase-matching (QPM) of supercontinuum generation in on-chip photonic waveguides can be achieved via waveguide-width modulation (a) or claddingmodulation (b). c) When the effective index of the soliton in the TE00 mode ("soliton index") intersects the ...

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Tailored Multi‐Color Dispersive Wave Formation in Quasi‐Phase‐Matched Exposed Core Fibers

et al. 2022

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Widely wavelength‐tunable femtosecond light sources in a compact, robust footprint play a central role in many prolific research fields and technologies, including medical diagnostics, biophotonics, and metrology. Fiber lasers are on the verge in the development of such sources, yet widespan spectral tunability of femtosecond pulses remains a pivotal challenge. Dispersive wave generation, also known as Cherenkov radiation, offers untapped potentials to serve these demands. In this work, the concept of quasi‐phase matching for multi‐order dispersive wave formation with record‐high spectral fidelity and femtosecond durations is exploited in selected, partially conventionally unreachable spectral regions. Versatile patterned sputtering is utilized to realize height‐modulated high‐index nano‐films on exposed fiber cores to alter fiber dispersion to an unprecedented degree through spatially localized, induced resonances. Nonlinear optical experiments and simulations, as well as phase‐mismatching considerations based on an effective dispersion, confirm the conversion process and reveal unique emission features, such as almost power‐independent wavelength stability and femtosecond duration. This resonance‐empowered approach is applicable to both fiber and on‐chip photonic systems and paves the way to instrumentalize dispersive wave generation as a unique tool for efficient, coherent femtosecond multi‐frequency conversion for applications in areas such as bioanalytics, life science, quantum technology, or metrology.

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Dynamics of the modulation instability spectrum in optical fibers with oscillating dispersion

Cited by 47 publications

References 27 publications

Gain sideband splitting in dispersion oscillating fibers

Gain sideband splitting in dispersion oscillating fibers

Quasi-Phase-Matched Supercontinuum Generation in Photonic Waveguides

Tailored Multi‐Color Dispersive Wave Formation in Quasi‐Phase‐Matched Exposed Core Fibers

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