4.6 Article

Origin and stability of dark pulse Kerr combs in normal dispersion resonators

Journal

OPTICS LETTERS
Volume 41, Issue 11, Pages 2402-2405

Publisher

OPTICAL SOC AMER
DOI: 10.1364/OL.41.002402

Keywords

-

Categories

Funding

  1. Research Foundation-Flanders (FWO-Vlaanderen)
  2. KU Leuven Junior Mobility Programme
  3. Belgian Science Policy Office (BelSPO) [IAP 7-35]
  4. Vrije Universiteit Brussel, Research Council
  5. MINECO
  6. FEDER (Intense@Cosyp) [FIS2012-30634]
  7. National Science Foundation (NSF) [DMS-1211953]
  8. Marsden Fund of the Royal Society of New Zealand
  9. Division Of Mathematical Sciences
  10. Direct For Mathematical & Physical Scien [1211953] Funding Source: National Science Foundation

Ask authors/readers for more resources

We analyze dark pulse Kerr frequency combs in optical resonators with normal group-velocity dispersion using the Lugiato-Lefever model. We show that in the time domain the combs correspond to interlocked switching waves between the upper and lower homogeneous states, and explain how this fact accounts for many of their experimentally observed properties. Modulational instability does not play any role in their existence. We provide a detailed map indicating for which parameters stable dark pulse Kerr combs can be found, and how they are destabilized for increasing values of frequency detuning. (C) 2016 Optical Society of America

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Optics

Wideband multimode optical parametric oscillation in a Kerr microresonator

Vincent Ng, Farhan Azeem, Luke S. Trainor, Harald G. L. Schwefel, Stephane Coen, Miro Erkintalo, Stuart G. Murdoch

Summary: Parametric oscillation in Kerr microresonators offers a promising method to generate new optical frequencies in a compact and low-power device. However, the generation of large frequency shift sidebands usually requires precise phasematching, which is limited by the resonator's dispersion profile. In this paper, we propose a multimode four-wave-mixing process that relaxes the phasematching requirements, allowing the formation of large frequency shift sidebands even in resonators with strong second-order dispersion. Experimental results using a magnesium-fluoride micro-disk resonator demonstrate the generation of four distinct multimode parametric processes with frequency shifts ranging from 118 to 216 THz, achieving a separation of almost three octaves between the two sidebands.

OPTICS EXPRESS (2023)

Article Optics

Spatiotemporal mode decomposition of ultrashort pulses in linear and nonlinear graded-index multimode fibers

Mario Zitelli, Vincent Couderc, Mario Ferraro, Fabio Mangini, Pedro Parra-Rivas, Yifan Sun, Stefan Wabnitz

Summary: We developed a spatiotemporal mode decomposition technique to analyze the power distribution of ultrashort pulses in graded-index multimode fibers. Our findings reveal that the power content of beam modes in the dispersive pulse propagation regime follows the Bose-Einstein law, which is a result of power diffusion from mode coupling. In the soliton regime, the output mode power distribution approaches the Rayleigh-Jeans law.

PHOTONICS RESEARCH (2023)

Article Optics

Random number generation using spontaneous symmetry breaking in a Kerr resonator

Liam Quinn, Gang Xu, Yiqing Xu, Zongda Li, Julien Fatome, Stuart G. Murdoch, Stephane Coen, Miro Erkintalo

Summary: We demonstrate an all-optical random number generator based on spontaneous symmetry breaking in a coherently driven Kerr resonator. Random bit sequences are generated by repeatedly tuning a control parameter across a symmetry-breaking bifurcation that enacts random selection between two possible steady-states of the system. The generated bits have a rate of 3 MHz without post-processing and their randomness is verified using statistical test suites.

OPTICS LETTERS (2023)

Article Optics

Modal phase-locking in multimode nonlinear optical fibers

Fabio Mangini, Mario Ferraro, Yifan Sun, Mikhail Gervaziev, Pedro Parra-Rivas, Denis S. Kharenko, Vincent Couderc, Stefan Wabnitz

Summary: Spatial beam self-cleaning in graded-index multimode fibers, arising from the Kerr effect, involves nonlinear power transfer among modes to produce robust bell-shaped output beams. Although spatial coherence of the output beam has been experimentally demonstrated, direct study of modal phase evolutions has been lacking. Using a holographic mode decomposition method, our findings reveal nonlinear spatial phase-locking between the fundamental mode and neighboring low-order modes, confirming theoretical predictions and challenging the current belief of wave thermalization as the sole cause of the spatial beam self-cleaning effect.

OPTICS LETTERS (2023)

Article Physics, Multidisciplinary

Modeling of dual frequency combs and bistable solitons in third-harmonic generation

Tobias Hansson, Pedro Parra-Rivas, Stefan Wabnitz

Summary: Researchers developed a model to study the application of frequency combs in the infrared and visible spectral regions, and identified conditions for the existence of two distinct and coexisting cavity solitons.

COMMUNICATIONS PHYSICS (2023)

Article Optics

Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides

Pedro Parra-Rivas, Yifan Sun, Stefan Wabnitz

Summary: In this study, we investigated the dynamics and stability of fundamental spatiotemporal solitons in multimode waveguides. Through a comparison of variational methods and numerical simulations, we found that solitons are stable at low energies but undergo wave collapse as the energy increases.

OPTICS COMMUNICATIONS (2023)

Article Optics

Temporal characteristics of stationary switching waves in a normal dispersion pulsed-pump fiber cavity

Matthew Macnaughtan, Miro Erkintalo, Stephane Coen, Stuart Murdoch, Yiqing Xu

Summary: In this study, Kerr cavities driven in the normal dispersion regime were investigated, and switching waves were found. The fine structure of individual switching waves, including resonant oscillations, was directly observed with nanosecond pulses. The intimate connection between the temporal and spectral features of the dispersive waves associated with switching waves was demonstrated, and the evolution of these dispersive waves with cavity parameters was investigated. Additionally, the generation and observation of stable and persistent dark pulses under quasi-CW pumping conditions were achieved, validating the accuracy of the dispersive wave formalism used.

OPTICS LETTERS (2023)

Article Optics

Multimode resonance transition to collapsed snaking in normal dispersive Kerr cavities: bright versus dark solitons

Yifan Sun, Stefan Wabnitz, Pedro Parra-Rivas

Summary: This study investigates the dynamics of Kerr cavity solitons with intracavity phase modulation in the normal dispersion regime. The introduction of a parabolic potential leads to multimode resonances, which facilitate the formation of high-order bright solitons. Gradually decreasing the potential strength causes the bright solitons to transition into dark solitons. This process is described as a shift from multimode resonance to collapsed snaking bifurcation structure. This work provides a comprehensive overview of cavity dynamics and offers a potential pathway to access multi-stable states by varying the phase modulation effectively.

OPTICS LETTERS (2023)

Article Physics, Multidisciplinary

Robust Three-Dimensional High-Order Solitons and Breathers in Driven Dissipative Systems: A Kerr Cavity Realization

Yifan Sun, Pedro Parra-Rivas, Carles Milian, Yaroslav Kartashov, Mario Ferraro, Fabio Mangini, Raphael Jauberteau, Francesco R. Talenti, Stefan Wabnitz

Summary: This study presents a general approach to exciting stable dissipative three-dimensional and high-order solitons and breathers in passively driven nonlinear cavities. A paradigmatic example is used to illustrate the findings, showing that three-dimensional solitons or light bullets are the only stable states that exist under specific parameters. This rare property in passive nonlinear systems allows for deterministic formation of target solitons or breathers.

PHYSICAL REVIEW LETTERS (2023)

Article Engineering, Electrical & Electronic

Spatial Beam Cleaning in Multimode GRIN Fibers: Polarization Effects

Mario Ferraro, Fabio Mangini, Mario Zitelli, Raphael Jauberteau, Yifan Sun, Pedro Parra-Rivas, Katarzyna Krupa, Alessandro Tonello, Vincent Couderc, Stefan Wabnitz

Summary: This study investigates the evolution of polarization state in beam self-cleaning in multimode fibers, revealing its complexity. The research findings verify the validity of theoretical approaches for describing nonlinear propagation in multimode fibers and provide important insights for the application of beam self-cleaning effect.

IEEE PHOTONICS JOURNAL (2023)

Article Physics, Fluids & Plasmas

Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion

Edem Kossi Akakpo, Marc Haelterman, Francois Leo, Pedro Parra-Rivas

Summary: In this paper, we theoretically investigate the dynamics, bifurcation structure, and stability of dark localized states in Kerr cavities with positive second- and fourth-order dispersion. We found that dark states form through the locking of uniform wave fronts, or domain walls, and undergo a bifurcation structure known as collapsed homoclinic snaking. We also showed that increasing the dispersion of fourth order can stabilize bright localized states.

PHYSICAL REVIEW E (2023)

Article Cell Biology

Multiomics and spatial mapping characterizes human CD8+T cell states in cancer

Stefan Naulaerts, Angeliki Datsi, Daniel M. Borras, Asier Antoranz Martinez, Julie Messiaen, Isaure Vanmeerbeek, Jenny Sprooten, Raquel S. Laureano, Jannes Govaerts, Dena Panovska, Marleen Derweduwe, Michael C. Sabel, Marion Rapp, Weiming Ni, Sean Mackay, Yannick Van Herck, Lendert Gelens, Tom Venken, Sanket More, Oliver Bechter, Gabriele Bergers, Adrian Liston, Steven De Vleeschouwer, Benoit J. Van Den Eynde, Diether Lambrechts, Michiel Verfaillie, Francesca Bosisio, Sabine Tejpar, Jannie Borst, Rudiger V. Sorg, Frederik De Smet, Abhishek D. Garg

Summary: Through multiomics analysis of CD8+ T cell features in multiple patient cohorts and tumor types, we have identified different hypofunctional states of tumor-associated CD8+ T cells, including exhausted CD8+ T cells in supportive tumor niches and hypofunctional CD8+ T cells in nonsupportive niches. These two types of hypofunctional states exhibit distinct characteristics, such as different T cell receptor repertoires and immunopeptidomes. Furthermore, dysfunctional CD4+:CD8+ T cell interactions and a wound healing-like chemokine profile were observed in glioblastoma. Immuno-oncology clinical trials showed that anti-programmed cell death protein 1 (PD-1) immunotherapy exacerbated the tolerogenic disparities in glioblastoma, while dendritic cell (DC) vaccines partially corrected them. Recipients of DC vaccines for glioblastoma demonstrated evidence of antigen-specific immunity.

SCIENCE TRANSLATIONAL MEDICINE (2023)

Article Multidisciplinary Sciences

The ups and downs of biological oscillators: a comparison of time-delayed negative feedback mechanisms

Jan Rombouts, Sarah Verplaetse, Lendert Gelens

Summary: This study compares the effects of feedback on the periodic rise and fall of protein concentrations or activities through mathematical models. It finds that different mechanisms impose different constraints on the production and degradation rates of proteins, leading to biochemical oscillations.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2023)

Article Optics

Dynamics of temporal Kerr cavity solitons in the presence of rapid parameter inhomogeneities: From bichromatic driving to third-order dispersion

Caleb Todd, Zongda Li, Stuart G. Murdoch, Gian-Luca Oppo, Miro Erkintalo

Summary: Temporal Kerr cavity solitons are light pulses that can exist in coherently driven, dispersive resonators with Kerr-type nonlinearity. Previous studies have assumed that the inhomogeneity of the driving field varies slowly across the soliton, leading to linear soliton drift rate. However, in some cases, such as using bichromatic driving or in the presence of third-order dispersion, the assumption of slowly varying inhomogeneity may not hold true.

PHYSICAL REVIEW A (2023)

Article Optics

Kerr microresonator dual-comb source with adjustable line-spacing

Pierce C. Qureshi, Farhan Azeem, Luke S. Trainor, Harald G. Schwefel, Stephane Coen, Miro Erkintalo, Stuart G. Murdoch

Summary: Optical microresonators are used to generate optical frequency combs, and the parameters of the radio-frequency comb spectrum can be finely-tuned by interfering two optical pumps with different azimuthal mode numbers. Experimental results show that a discrete tunability of about 1MHz in the line-spacing of the radio-frequency comb can be achieved.

OPTICS EXPRESS (2023)

No Data Available