High-order dispersion in Kerr comb oscillators

Bao, Changjing; Taheri, Hossein; Zhang, Lin; Matsko, Andrey B.; Yan, Yan; Liao, Peicheng; Maleki, Lute; Willner, Alan E.

doi:10.1364/josab.34.000715

Cited by 68 publications

(46 citation statements)

References 44 publications

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“…In this work, we only took third-and fourth-order dispersion into account since this is sufficient to validate our experimental results presented here. Note that there has been a numerical study that accounts for the effect of higher-order dispersion (e.g., fifth-and sixthorder) on the spectrum of a Kerr comb [13]. Figure 1 shows schematics of a Kerr comb spectrum and corresponding dispersion D int (solid red line).…”

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confidence: 99%

Octave-wide phase-matched four-wave mixing in dispersion-engineered crystalline microresonators

et al. 2019

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In this Letter, we report phase-matched four-wave mixing separated by over one-octave in a dispersion engineered crystalline microresonator. Experimental and numerical results presented here confirm that primary sidebands were generated with a frequency shift up to 140 THz, and that secondary sidebands formed a localized comb structure, known as a clustered comb in the vicinity of the primary sidebands. A theoretical analysis of the phase-matching condition validated our experimental observations, and our results good agree well with numerical simulations. These results offer the potential to realize a frequency tunable comb cluster generator operating from 1 µm to mid-infrared wavelengths with a single and compact device.Phase-matched four-wave mixing (FWM) in a whispering gallery mode (WGM) microresonator driven by a continuous wave (CW) laser have been studied for decades [1]. In particular, a microresonator frequency comb (Kerr comb) realized via a cascade FWM process makes it possible to achieve broadband optical frequency comb sources characterized as having high repetition rates, compactness and low-energy consumption [2]. They provide fascinating applications including precise spectroscopy [3] and coherent data transmission [4]. A Kerr comb, and particularly a dissipative Kerr soliton (DKS), which is a stable low noise state, features a coherent broad comb spectrum with a smooth envelope [5]. However, spectral broadening over one octave remains a challenge mainly because of the limitation imposed by group velocity dispersion (GVD). Spectral broadening utilizing dispersion engineering has been achieved with Cherenkov radiation, which can be understood in terms of the coherent dispersive wave in the frequency domain emitted from a soliton propagating along a resonator [6]. A dispersive wave induces asymmetrical spectral profiles and occurs at the point where a simple phase-matching condition is satisfied, and it is determined by the signs and values of higher-order (i.e., third-, fourth-and fifthorder) dispersion parameters.Higher-order dispersion plays important roles not only as regards a Kerr soliton in an anomalous GVD regime, but also in a weak normal GVD regime. Since a normal dispersion usually does not allow modulation instability (MI) near the pump, phase-matched FWM may be considered to occur only in an anomalous dispersion resonator. However, higher-order dispersion, particularly even orders of dispersion, enables a resonant MI process, called clustered frequency combs, to occur far from the pump mode [7][8][9]. Clustered combs, characterized by FWM generation with parametric sidebands that have a * takasumi@elec.keio.ac.jp large-frequency shift, have been reported using an MgF 2 microresonator [7,9] and silica microtoroids [8]. The fact that clustered combs have the potential to utilize microcomb source emitting in the 1.0 to 3.5 µm wavelength region with just a near-infrared pump indicates interesting potential applications, for example laser processing and optical communication. In particular,...

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confidence: 99%

Octave-wide phase-matched four-wave mixing in dispersion-engineered crystalline microresonators

et al. 2019

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“…3(d)). Comparing these figures, one can conclude that the second pump impacts the frequency comb similarly to a dispersion wave [42]: the center of the comb envelope shifts and the repetition rate of the soliton changes.…”

Section: Comb Locking Dynamicsmentioning

confidence: 91%

“…The dispersive wave can be considered as a second coherent pump which locks the relative position of the pulses. A similar effect occurs where the presence of higher-order dispersion creates a coherent dispersive wave and leads to soliton crystal formation [40][41][42].…”

Section: Introductionmentioning

confidence: 95%

Optical lattice trap for Kerr solitons

2017

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Abstract. We show theoretically and numerically that dichromatic pumping of a nonlinear microresonator by two continuous wave coherent optical pumps creates an optical lattice trap that results in the localization of intra-cavity Kerr solitons with soliton positions defined by the beat frequency of the pumps. This phenomenon corresponds to the stabilization of the Kerr frequency comb repetition rate. The locking of the second pump, through adiabatic tuning of its frequency, to the comb generated by the first pump allows transitioning to single-soliton states, manipulating the position of Kerr solitons in the cavity, and tuning the frequency comb repetition rate within the locking range. It also explains soliton crystal formation in resonators supporting a dispersive wave emitted as a result of higher-order group velocity dispersion or avoided mode crossing. We show that dichromatic pumping by externally stabilized pumps can be utilized for stabilization of microresonator-based optical frequency combs when the comb span does not cover an octave or a significant fraction thereof and standard self-referencing techniques cannot be employed. Our findings have significant ramifications for high-precision applications of optical frequency combs in spectrally pure signal generation, metrology, and timekeeping.PACS. 42.65.Tg Optical solitons; nonlinear guided waves -42.65.Sf Dynamics of nonlinear optical systems.

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“…In analogy with quantum mechanics, a momentum parameter can be defined for a frequency comb [225,240,295]. It has been shown that comb momentum plays the role of the comb spectrum center of mass [222,296], Fig. 16.…”

Section: Dispersive Wave Emission and Soliton Recoilmentioning

confidence: 99%

Emerging material systems for integrated optical Kerr frequency combs

et al. 2020

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The experimental realization of a Kerr frequency comb represented the convergence of research in materials, physics, and engineering, and this symbiotic relationship continues to underpin efforts in comb innovation today. While the initial focus developing cavity-based frequency combs relied on existing microresonator architectures and classic optical materials, in recent years, this trend has been disrupted. This paper reviews the latest achievements in frequency comb generation using resonant cavities, placing them within the broader historical context of the field. After presenting well-established material systems and device designs, the emerging materials and device architectures are examined. Specifically, the unconventional material systems as well as atypical device designs that have enabled tailored dispersion profiles and improved comb performance are compared to the current state of art. The remaining challenges and future outlook for the field of cavity-based frequency combs is evaluated.

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High-order dispersion in Kerr comb oscillators

Cited by 68 publications

References 44 publications

Octave-wide phase-matched four-wave mixing in dispersion-engineered crystalline microresonators

Octave-wide phase-matched four-wave mixing in dispersion-engineered crystalline microresonators

Optical lattice trap for Kerr solitons

Emerging material systems for integrated optical Kerr frequency combs

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