Two-color flat-top solitons in microresonator-based optical parametric oscillators

Lobanov, Valery E.

doi:10.1103/physreva.102.013518

Cited by 7 publications

(7 citation statements)

References 63 publications

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“…Also, we will indicate where and why the necessary conditions were violated in the known experiments. Lastly, we will compare our findings with the known early predictions for the χ (2) soliton-comb states [40][41][42][43]. As far as possible, the cases considered will be applied to experimentally realizable and important situations.…”

Section: Introductionmentioning

confidence: 77%

“…The above considered soliton-comb steady states in χ (2) microresonators are not the first predicted ones and known in the literature. To the best of our knowledge, the other known stable dissipative soliton states [40][41][42][43] belong to the periodic ones. Furthermore, they are not self-starting, i.e., not easily accessible.…”

Section: Discussionmentioning

confidence: 97%

“…Remarkably, the soliton-comb states of [40] are allowed for the same and opposite signs of the dispersion coefficients. Generation of flat-top solitons via an additional spatial modulation of the pump amplitude was found numerically in the SH pumping case for opposite signs of the dispersion coefficients [43]. A considerable amount of soliton related models was proposed for bulk parametric oscillators.…”

Section: Discussionmentioning

confidence: 99%

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Self-Starting Soliton-Comb Regimes in χ(2) Microresonators

Sturman¹,

Podivilov²,

Smirnov³

2023

Preprint

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Discovery of stable and broad frequency combs in monochromatically pumped high-Q optical Kerr microresonators caused by generation of temporal solitons can be regarded as one of the major breakthroughs in nonlinear optics during the last two decades. Transfer of the soliton-comb concept to χ(2) microresonators promises lowering of the pump power, new operation regimes, and entering new spectral ranges; scientifically, it is of a big challenge. Here we represent an overview of stable and accessible soliton-comb regimes in monochromatically pumped χ(2) microresonators discovered during the last several years. The main stress is made on lithium niobate based resonators. The overview pretends to be rather simple, complete, and comprehensive: It incorporates the main factors affecting the soliton-comb generation, such as the choice of the pumping scheme (pumping to the first or second harmonic), the choice of phase matching scheme (natural or artificial), the effects of temporal walk-off and dispersion coefficients, and also the influence of frequency detunings and Q-factors. Most of discovered nonlinear regimes are self-starting – they can be accessed from noise upon a not very abrupt increase of the pump power. The soliton-comb generation scenarios are not universal – they can be realized only under proper combinations of the above mentioned factors. We indicate what kind of restrictions on the experimental conditions have to be imposed to get the soliton-comb generation.

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Section: Introductionmentioning

confidence: 77%

Section: Discussionmentioning

confidence: 97%

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Self-Starting Soliton-Comb Regimes in χ(2) Microresonators

Sturman¹,

Podivilov²,

Smirnov³

2023

Preprint

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show abstract

“…Additionally, we will indicate where and why the necessary conditions were violated in the known experiments. Lastly, we will compare our findings with the known early predictions for the χ (2) soliton-comb states [46][47][48][49]. As far as possible, the cases considered will be applied to experimentally realizable and important situations.…”

Section: Introductionmentioning

confidence: 77%

Self-Starting Soliton–Comb Regimes in χ(2) Microresonators

2023

View full text Add to dashboard Cite

The discovery of stable and broad frequency combs in monochromatically pumped high-Q optical Kerr microresonators caused by the generation of temporal solitons can be regarded as one of the major breakthroughs in nonlinear optics during the last two decades. The transfer of the soliton–comb concept to χ(2) microresonators promises lowering of the pump power, new operation regimes, and entering of new spectral ranges; scientifically, it is a big challenge. Here we represent an overview of stable and accessible soliton–comb regimes in monochromatically pumped χ(2) microresonators discovered during the last several years. The main stress is made on lithium niobate-based resonators. This overview pretends to be rather simple, complete, and comprehensive: it incorporates the main factors affecting the soliton–comb generation, such as the choice of the pumping scheme (pumping to the first or second harmonic), the choice of the phase matching scheme (natural or artificial), the effects of the temporal walk off and dispersion coefficients, and also the influence of frequency detunings and Q-factors. Most of the discovered nonlinear regimes are self-starting—they can be accessed from noise upon a not very abrupt increase in the pump power. The soliton–comb generation scenarios are not universal—they can be realized only under proper combinations of the above-mentioned factors. We indicate what kind of restrictions on the experimental conditions have to be imposed to obtain the soliton–comb generation.

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“…While a combination of these assumptions appears as the desirable idealisation in the contexts of the currently available ring microresonators, future studies along these lines are warranted. The relevance of the strong-coupling and dressed states for the microresonator half-harmonic generation arrangement remains to be analysed, including their links to the results on the half-harmonic bright-bright, dark and dark-bright soliton pulses [15,27,31,58,[66][67][68][69].…”

Section: Discussionmentioning

confidence: 99%

Bright-soliton frequency combs and dressed states in chi(2) microresonators

Puzyrev,

Pankratov,

Villois

et al. 2021

Preprint

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We present a theory of the frequency comb generation in the high-Q ring microresonators with quadratic nonlinearity and normal dispersion and demonstrate that the naturally large difference of the repetition rates at the fundamental and 2nd harmonic frequencies supports a family of the bright soliton frequency combs providing the parametric gain is moderated by tuning the indexmatching parameter to exceed the repetition rate difference by a significant factor. This factor equals the sideband number associated with the high-order phase-matched sum-frequency process. The theoretical framework, i.e., the dressed-resonator method, to study the frequency conversion and comb generation is formulated by including the sum-frequency nonlinearity into the definition of the resonator spectrum. The Rabi splitting of the dressed frequencies leads to the four distinct parametric down-conversion conditions (signal-idler-pump photon energy conservation laws). The parametric instability tongues associated with the generation of the sparse, i.e., Turing-pattern-like, frequency combs with varying repetition rates are analysed in details. The sum-frequency matched sideband exhibits the optical Pockels nonlinearity and strongly modified dispersion, which limit the soliton bandwidth and also play a distinct role in the Turing comb generation. Our methodology and data highlight the analogy between the driven multimode resonators and the photon-atom interaction.

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Two-color flat-top solitons in microresonator-based optical parametric oscillators

Cited by 7 publications

References 63 publications

Self-Starting Soliton-Comb Regimes in χ(2) Microresonators

Self-Starting Soliton-Comb Regimes in χ(2) Microresonators

Self-Starting Soliton–Comb Regimes in χ(2) Microresonators

Bright-soliton frequency combs and dressed states in chi(2) microresonators

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