Sech-squared Pockels solitons in the microresonator parametric down-conversion

Skryabin, Dmitry V.

doi:10.1364/oe.432670

Cited by 7 publications

(5 citation statements)

References 38 publications

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“…It prompts a hypothesis that the soliton could be qualitatively considered as a broadband pump pulse supported by the effective potential created by the few dominant modes in the second harmonic field. These modes are nearphase-matched and, therefore, are subjected to the optical Pockels effect [12,30]. On the contrary, the solitons' spectral tails are phase-mismatched via growing µ|D 1a −D ab | and, therefore, experience the effective (cascaded) Kerr nonlinearity [12,22].…”

Section: Super-and Sub-critical Bifurcationsmentioning

confidence: 99%

Parametric conversion via second harmonic generation and two-hump solitons in phase-matched microresonators

Pankratov

Skryabin

2022

Phys. Rev. A

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Frequency conversion in microresonators has revolutionised modern-day nonlinear and quantum optics. Here, we present a theory of the multimode second harmonic generation in microresonators under conditions when the parametric conversion back to the pump spectrum dominates through the large domain in the resonator parameter space. We demonstrate that the spectral tunability of the sideband generation in this regime is governed by a discrete sequence of the so-called Eckhaus instabilities. We report the transition to modelocking and generation of solitons, which have a double-pulse structure in the pump field. These solitons exist outside the bistability interval and on a slightly curved background.

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Section: Super-and Sub-critical Bifurcationsmentioning

confidence: 99%

Parametric conversion via second harmonic generation and two-hump solitons in phase-matched microresonators

Pankratov

Skryabin

2022

Phys. Rev. A

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“…Our approach is different from, e.g., the method when the whole of the high-frequency field is adiabatically eliminated by one way or the other so that the low-frequency field becomes driven by the cascaded Kerr effect, see, e.g., [28,38,49]. The transition from Eq.…”

Section: Resultsmentioning

confidence: 93%

“…( 11) and ( 12) would make up the Kerr-like nonlinear terms. These terms represent the so-called cascaded Kerr nonlinearity [49], which is, however, negligible in the leading order, because it scales inversely with µ(D 1b − D 1a ). Hence, Eqs.…”

Section: Resultsmentioning

confidence: 99%

“…4a and 4b. Apart from increasing the pump power, the ways to facilitate the microresonator OPOs to operate in the non-staggered comb could be, e.g., using resonators with the better matched repetition rates taken relative to the losses, i.e., having smaller |D 1b −D 1a |/κ a,b , and using pumping into the modes with the odd numbers [8,45,49,50].…”

Section: Discussionmentioning

confidence: 99%

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Ladder of Eckhaus instabilities and parametric conversion in chi(2) microresonators

Puzyrev,

Skryabin

2022

Preprint

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Low loss microresonators have revolutionised nonlinear and quantum optics over the past decade. In particular, microresonators with the second order, chi(2), nonlinearity have the advantages of broad spectral tunability and low power frequency conversion. Recent observations have highlighted that the parametric frequency conversion in chi(2) microresonators is accompanied by stepwise changes in the signal and idler frequencies. Therefore, a better understanding of the mechanisms and development of the theory underpinning this behaviour is timely. Here, we report that the stepwise frequency conversion originates from the discrete sequence of the so-called Eckhaus instabilities. After discovering these instabilities in fluid dynamics in the 1960s, they have become a broadly spread interdisciplinary concept. Now, we demonstrate that the Eckhaus mechanism also underpins the ladder-like structure of the frequency tuning curves in chi(2) microresonators.

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“…It is possible, for example, to generate a comb up to 4.3 µm with a resonator size of R = 0.25 mm. Furthermore, theory and modelling suggest that a variety of the two-colour parametric solitons in microresonators can be expected in future experimental studies [29][30][31], in addition to the already observed ones [24]. One property of our resonator that could facilitate the soliton formation is that, the point of zero walk-off, i.e., D 1p = D 1s , is achieved at 2.16 µm and 4.32 µm wavelengths for the pump and half-harmonic respectively.…”

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confidence: 99%

Mid-infrared frequency combs and staggered spectral patterns in $χ^{(2)}$ microresonators

Amiune¹,

Fan²,

Pankratov³

et al. 2022

Preprint

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The potential of frequency comb spectroscopy has aroused great interest in generating mid-infrared frequency combs in the integrated photonic setting. However, despite remarkable progress in microresonators and quantum cascade lasers, the availability of suitable mid-IR comb sources remains scarce. Here, we present a new approach for the generation of mid-IR microcombs through cascaded three-wave-mixing. By pumping a CdSiP2 microresonator at 1.55 µm wavelength with a low power continuous wave laser, we generate χ (2) frequency combs at 3.1 µm wavelength, with a span of about 30 nm. We observe ordinary combs states with a line spacing of the free spectral range of the resonator, and combs where the sideband numbers around the pump and half-harmonic alternate, forming staggered patterns of spectral lines. Our scheme for mid-IR microcomb generation is compatible with integrated telecom lasers. Therefore, it has the potential to be used as a simple and fully integrated mid-IR comb source, relying on only one single material.

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Sech-squared Pockels solitons in the microresonator parametric down-conversion

Cited by 7 publications

References 38 publications

Parametric conversion via second harmonic generation and two-hump solitons in phase-matched microresonators

Parametric conversion via second harmonic generation and two-hump solitons in phase-matched microresonators

Ladder of Eckhaus instabilities and parametric conversion in chi(2) microresonators

Mid-infrared frequency combs and staggered spectral patterns in $χ^{(2)}$ microresonators

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