Theory of mode locking at coherent Brillouin interaction

Lugovoi, V. N.

doi:10.1109/jqe.1983.1071923

Cited by 10 publications

(5 citation statements)

References 12 publications

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“…In general, different order Stokes waves experience different amounts of Stokes detuning and the frequencies of the three waves are not equally spaced. Additionally, in order to obtain short pulses (of length ~2 π /( N Ω B ), where N is the number of participating waves 26 ), ϑ + ( L , t ) must also be close to zero to achieve the appropriate phasing of the three waves.…”

Section: Resultsmentioning

confidence: 99%

“…BFCs have been demonstrated in different configuration, such as Fabry-Perot cavities 18 20 , phase-conjugate resonators 21 , fibre ring cavities 22 , Brillouin-erbium fibre lasers 23 and micro-resonators 6 15 24 . Phase-locking of such combs holds a promise to achieve pulsed laser sources with gigahertz repetition rates 25 26 . This is orders of magnitude larger than the repetition rates of conventional passively mode-locked fibre lasers which are fundamentally linked to the laser cavity length and therefore are typically of the order of 10–100 megahertz 27 .…”

mentioning

confidence: 99%

“…Different cavity configurations have been suggested to achieve phase-locking of BFCs 21 25 26 30 . Experimentally, phase-locking of BFCs has been demonstrated by achieving coupling of all Stokes waves with a common acoustic wave by limiting the SBS interaction to a short part of the cavity 21 and by using modal dispersion in a short-multimode fibre 30 .…”

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confidence: 99%

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Phase-locking and Pulse Generation in Multi-Frequency Brillouin Oscillator via Four Wave Mixing

Büttner

Kabakova

Hudson

et al. 2014

Sci Rep

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There is an increasing demand for pulsed all-fibre lasers with gigahertz repetition rates for applications in telecommunications and metrology. The repetition rate of conventional passively mode-locked fibre lasers is fundamentally linked to the laser cavity length and is therefore typically ~10–100 MHz, which is orders of magnitude lower than required. Cascading stimulated Brillouin scattering (SBS) in nonlinear resonators, however, enables the formation of Brillouin frequency combs (BFCs) with GHz line spacing, which is determined by the acoustic properties of the medium and is independent of the resonator length. Phase-locking of such combs therefore holds a promise to achieve gigahertz repetition rate lasers. The interplay of SBS and Kerr-nonlinear four-wave mixing (FWM) in nonlinear resonators has been previously investigated, yet the phase relationship of the waves has not been considered. Here, we present for the first time experimental and numerical results that demonstrate phase-locking of BFCs generated in a nonlinear waveguide cavity. Using real-time measurements we demonstrate stable 40 ps pulse trains with 8 GHz repetition rate based on a chalcogenide fibre cavity, without the aid of any additional phase-locking element. Detailed numerical modelling, which is in agreement with the experimental results, highlight the essential role of FWM in phase-locking of the BFC.

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Section: Resultsmentioning

confidence: 99%

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confidence: 99%

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Phase-locking and Pulse Generation in Multi-Frequency Brillouin Oscillator via Four Wave Mixing

Büttner

Kabakova

Hudson

et al. 2014

Sci Rep

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“…Note that in equations (12) and (17), the phase of the terms containing the propagation constant mismatch 2jΔk rotates by j2π over the 'Brillouin-length' [13]…”

Section: Derivation With a Single Acoustic Wavementioning

confidence: 99%

“…Early theoretical studies of cascaded BSBS in resonators did not consider the Kerr-nonlinearity and the finite linewidth of the acoustic resonance [12,13]. These studies showed that, in certain configurations, optical waves can be phase-locked by phase-sensitive FWM interactions that are mediated by the acoustic field.…”

Section: Introductionmentioning

confidence: 99%

Phase-locking in cascaded stimulated Brillouin scattering

et al. 2016

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Cascaded stimulated Brillouin scattering is a complex nonlinear optical process that results in the generation of several optical waves that are frequency shifted by an acoustic resonance frequency. Four-wave mixing (FWM) between these Brillouin shifted optical waves can create an equally spaced optical frequency comb with a stable spectral phase, i.e. a Brillouin frequency comb (BFC). Here, we investigate phase-locking of the spectral components of BFCs, considering FWM interactions arising from the Kerr-nonlinearity as well as from coupling by the acoustic field. Deriving for the first time the coupled-mode equations that include all relevant nonlinear interactions, we examine the contribution of the various nonlinear processes to phase-locking, and show that different regimes can be obtained that depend on the length scale on which the field amplitudes vary.

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Locking of the longitudinal modes of an SBS-laser oscillator by optical feedback

Kappe

Ostermeyer

2007

Appl. Phys. B

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Theory of mode locking at coherent Brillouin interaction

Cited by 10 publications

References 12 publications

Phase-locking and Pulse Generation in Multi-Frequency Brillouin Oscillator via Four Wave Mixing

Phase-locking and Pulse Generation in Multi-Frequency Brillouin Oscillator via Four Wave Mixing

Phase-locking in cascaded stimulated Brillouin scattering

Locking of the longitudinal modes of an SBS-laser oscillator by optical feedback

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