Localized structures in dispersive and doubly resonant optical parametric oscillators

Parra‐Rivas, Pedro; Gelens, Lendert; Léo, François

doi:10.1103/physreve.100.032219

Cited by 31 publications

(42 citation statements)

References 69 publications

(162 reference statements)

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“…The differences between these solutions shown in Ref. [26] and this paper (such as the opposite polarity in B field, the opposite detuning position, and the swap between the real and imaginary amplitude) are due to the opposite sign of the GVD parameter in A field (β 1 ) used.…”

Section: Discussionmentioning

confidence: 54%

“…Note: When the original version of this paper was under review, the authors became aware of a recently published work by Pedro Parra-Rivas et al on a similar topic [26]. The soliton presented here is actually a particular type of the localized structures studied in Ref.…”

Section: Discussionmentioning

confidence: 79%

“…The soliton presented here is actually a particular type of the localized structures studied in Ref. [26], which are formed by the locking of domain walls between two CW states. The differences between these solutions shown in Ref.…”

Section: Discussionmentioning

confidence: 81%

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Quadratic Soliton Combs in Doubly Resonant Dispersive Optical Parametric Oscillators

Sheng

Yang

et al. 2020

IEEE Photonics J.

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We present temporal quadratic solitons in doubly resonant temporal dispersive optical parametric oscillators without a walk-off in numerical simulations. In frequency domain, these cavity solitons correspond to coherent dual-combs with smooth envelopes in half-harmonic and pump fields. We also investigate the soliton existence region, and the soliton behavior with parameters in this cavity system. We believe our work offers valuable insights into the practical generation of quadratic soliton combs in optical parametric oscillators.

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Section: Discussionmentioning

confidence: 54%

Section: Discussionmentioning

confidence: 79%

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Quadratic Soliton Combs in Doubly Resonant Dispersive Optical Parametric Oscillators

Sheng

Yang

et al. 2020

IEEE Photonics J.

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“…In fact, cavity solitons are robust states which circulate indefinitely in a cavity, thanks to the double compensation between nonlinearity and chromatic dispersion and between cavity losses and cw driving. Recent theoretical works aim at identifying the dynamical regimes that exhibit soliton states or localized solutions in cavity SHG systems [99][100][101][102] or OPOs [103,104].…”

Section: Perspectivesmentioning

confidence: 99%

Optical Frequency Combs in Quadratically Nonlinear Resonators

et al. 2020

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Optical frequency combs are one of the most remarkable inventions in recent decades. Originally conceived as the spectral counterpart of the train of short pulses emitted by mode-locked lasers, frequency combs have also been subsequently generated in continuously pumped microresonators, through third-order parametric processes. Quite recently, direct generation of optical frequency combs has been demonstrated in continuous-wave laser-pumped optical resonators with a second-order nonlinear medium inside. Here, we present a concise introduction to such quadratic combs and the physical mechanism that underlies their formation. We mainly review our recent experimental and theoretical work on formation and dynamics of quadratic frequency combs. We experimentally demonstrated comb generation in two configurations: a cavity for second harmonic generation, where combs are generated both around the pump frequency and its second harmonic and a degenerate optical parametric oscillator, where combs are generated around the pump frequency and its subharmonic. The experiments have been supported by a thorough theoretical analysis, aimed at modelling the dynamics of quadratic combs, both in frequency and time domains, providing useful insights into the physics of this new class of optical frequency comb synthesizers. Quadratic combs establish a new class of efficient frequency comb synthesizers, with unique features, which could enable straightforward access to new spectral regions and stimulate novel applications.

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“…LSs have been also recently investigated in dispersive quadratic cavities, where they arise along the propagation direction. In this situation such states have been studied in cavity-enhanced second-harmonic generation [23,24], in degenerate OPOs (DOPOs) with pure quadratic nonlinearity [25,26], and in the context of competing nonlinearities [27].…”

Section: Introductionmentioning

confidence: 99%

Parametric localized patterns and breathers in dispersive quadratic cavities

2020

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We study the formation of localized patterns arising in doubly resonant dispersive optical parametric oscillators. They form through the locking of fronts connecting a continuous-wave and a Turing pattern state. This type of localized state can be seen as a slug of the pattern embedded in a homogeneous surrounding. They are organized in terms of a homoclinic snaking bifurcation structure, which is preserved under the modification of the control parameters of the system. We show that, in the presence of phase mismatch, localized patterns can undergo oscillatory instabilities which make them breathe in a complex manner.

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Localized structures in dispersive and doubly resonant optical parametric oscillators

Cited by 31 publications

References 69 publications

Quadratic Soliton Combs in Doubly Resonant Dispersive Optical Parametric Oscillators

Quadratic Soliton Combs in Doubly Resonant Dispersive Optical Parametric Oscillators

Optical Frequency Combs in Quadratically Nonlinear Resonators

Parametric localized patterns and breathers in dispersive quadratic cavities

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