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We derive a time-domain mean-field equation to model the full temporal and spectral dynamics of light in singly resonant cavity-enhanced second-harmonic generation systems. We show that the temporal walk-off between the fundamental and the…

Optics · Physics 2016-01-27 F. Leo , T. Hansson , I. Ricciardi , M. De Rosa , S. Coen , S. Wabnitz , M. Erkintalo

In this letter we theoretically investigate the formation of localized temporal dissipative structures, and their corresponding frequency combs in doubly resonant dispersive optical parametric oscillators. We derive a nonlocal mean field…

Optics · Physics 2019-08-14 P. Parra-Rivas , L. Gelens , T. Hansson , S. Wabnitz , F. Leo

Optical frequency combs have revolutionized frequency metrology and timekeeping, and can be used in a wide range of optical technologies. Advances are under way that allow dramatic miniaturization of optical frequency combs using Kerr…

Optical frequency combs in microresonators (microcombs) have a wide range of applications in science and technology, due to its compact size and access to considerably larger comb spacing. Despite recent successes, the problems of…

Temporal cavity solitons in ring microresonators provide broad and controllable generation of frequency combs with applications in frequency standards and precise atomic clocks. Three level media in the {\Lambda} configuration inside…

Optics · Physics 2022-02-02 Gian-Luca Oppo , David Grant , Mansour Eslami

We investigate a bi-directionally coupled system consisting of a Kerr-nonlinear microresonator and a continuous-wave single-mode semiconductor laser. Inside the resonator, a forward-propagating and a backscattered field interact…

Optics · Physics 2026-04-27 L. Bengel , H. Peng , B. de Rijk , C. Koos , W. Reichel

Temporal cavity solitons generated in monochromatically driven dispersive Kerr resonators offer an attractive avenue for on-chip optical frequency comb generation. Key to many of their applications is to understand how noise -- both…

Optics · Physics 2026-05-29 Sophie S. Shamailov , Miro Erkintalo

Multi-color solitons that are parametrically created in dual-pumped microresonators generate interleaved frequency combs that can be used to obtain combs at new frequencies and when synchronized can be used for low-noise microwave…

We consider the Lugiato-Lefever (LL) model of optical fibers. We construct a two parameter family of steady state solutions, i.e. Kerr frequency combs, for small pumping parameter $h>0$ and the correspondingly (and necessarily) small…

Analysis of PDEs · Mathematics 2018-06-14 Sevdzhan Hakkaev , Milena Stanislavova , Atanas Stefanov

Optical frequency combs are crucial for both fundamental science and applications demanding wide frequency spanning and ultra-precision resolutions. Recent advancements of nonlinear Kerr effect based optical frequency combs in microcavities…

Optics · Physics 2019-03-13 Yuanlin Zheng , Tian Qin , Jianfan Yang , Xianfeng Chen , Li Ge , Wenjie Wan

Microresonator frequency combs offer tremendous opportunity to advance applications in fundamental research and technology by linking the optical and microwave frequency domains. Kerr-nonlinear microresonators further enable the generation…

Optics · Physics 2025-08-20 Haixin Liu , Alexa Carollo , Jizhao Zang , Scott B. Papp

The observation of temporal dissipative Kerr solitons in optical microresonators provides, on the applied side, compact sources of coherent optical frequency combs that have already been applied in coherent communications, dual comb…

Generated in high-Q optical microresonators, dissipative Kerr soliton microcombs constitute broadband optical frequency combs with chip sizes and repetition rates in the microwave to millimeter-wave range. For frequency metrology…

Nonlinear frequency conversion underpins numerous classical and quantum photonics applications but conventionally relies on synchronized femtosecond mode-locked lasers and dispersion-engineered enhancement cavities - an approach that…

Optics · Physics 2025-05-20 Jonathan Musgrave , Mingming Nie , Shu-Wei Huang

Temporal-dissipative Kerr solitons are self-localized light pulses sustained in driven nonlinear optical resonators. Their realization in microresonators has enabled compact sources of coherent optical frequency combs as well as the study…

Optical frequency comb, as a spectrum made of discrete and equally spaced spectral lines, is a light source with essential applications in modern technology. Cavity optomechanical systems were found to be a feasible candidate for realizing…

Optics · Physics 2024-08-13 Xin Gu , Jinlian Zhang , Shulin Ding , Xiaoshun Jiang , Bing He , Qing Lin

Dissipative Kerr-microresonator soliton combs (hereafter called soliton combs) has been rapidly progressing as compact frequency combs. Comb mode scanning of the soliton combs with a large range and fast speed is of paramount importance for…

Instrumentation and Detectors · Physics 2021-07-02 Kenji Nishimoto , Kaoru Minoshima , Takeshi Yasui , Naoya Kuse

A study is made of the nonlinear dynamics of dual pumped microresonator Kerr frequency combs described by a driven and damped nonlinear Schr\"odinger equation, with an additional degree of freedom in the form of the modulation frequency. A…

Optics · Physics 2014-07-16 T. Hansson , S. Wabnitz

Kerr soliton microcombs have recently emerged as a prominent topic in integrated photonics and enabled new horizons for optical frequency metrology. Kerr soliton microcombs, as its name suggests, are based on the high-order cubic optical…

Optical frequency combs allow for precise measurement of optical frequencies and are used in a growing number of applications beyond spectroscopy and optical frequency metrology. A class of compact microresonator based frequency comb…

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