Cherenkov radiation and scattering of external dispersive waves by two-color solitons

Oreshnikov, Ivan; Melchert, Oliver; Willms, Stephanie; Bose, Surajit; Babushkin, Ihar; Demircan, Ayhan; Morgner, Uwe; Yulin, A. V.

doi:10.1103/physreva.106.053514

Cited by 4 publications

(6 citation statements)

References 67 publications

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“…Finally, let us note that in the present propagation scenario we do not observed RR in the vicinity of the point labeled E in figure 5(d). As discussed in references [37,38], this can be attributed to a low efficiency of the corresponding resonant process. In comparison to the earlier two cases studied in section 3.2, we here find that the amount of RR emanating from the soliton molecule is larger and that the amplitude oscillations decay faster.…”

Section: Lifting the Degeneracies By Perturbationsmentioning

confidence: 97%

“…The spectral location of this RR can be predicted in terms of wave number matching conditions, derived for the dynamically evolving, oscillating molecule state. For clarity, below we summarize the derivation of the resonance conditions detailed in reference [38]. Considering an oscillating soliton molecule, consisting of two subpulses U 1 and U 2 , we can account for amplitude and width oscillations by representing both in terms of a Fourier series [38] U…”

Section: Degenerated Multi-frequency Radiationmentioning

confidence: 99%

“…For clarity, below we summarize the derivation of the resonance conditions detailed in reference [38]. Considering an oscillating soliton molecule, consisting of two subpulses U 1 and U 2 , we can account for amplitude and width oscillations by representing both in terms of a Fourier series [38] U…”

Section: Degenerated Multi-frequency Radiationmentioning

confidence: 99%

“…Below, we abbreviate the wavenumbers associated with the harmonics of the molecules z-oscillation wavelength Λ by K m = 2πm/Λ. Under the assumption that these subpulses satisfy a pair of coupled NSEs [25,39], and by assessing how dispersive radiation is excited by their mutual periodic driving [38], the resonance conditions…”

Section: Degenerated Multi-frequency Radiationmentioning

confidence: 99%

“…In reference [38], the subpulse wavenumbers κ 1 and κ 2 had to be extracted a posteriori from the simulated propagation dynamics. In the present case, we can establish a reasonable a priori estimate by assuming the molecule to be close to a two-color soliton pair with subpulse amplitudes…”

Section: Degenerated Multi-frequency Radiationmentioning

confidence: 99%

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Resonant Kushi-comb-like multi-frequency radiation of oscillating two-color soliton molecules

et al. 2023

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Nonlinear waveguides with two distinct domains of anomalous dispersion can support the formation of molecule-like two-color pulse compounds. They consist of two tightly bound subpulses with frequency loci separated by a vast frequency gap. Perturbing such a two-color pulse compound triggers periodic amplitude and width variations, reminiscent of molecular vibrations. With increasing strength of perturbation, the dynamics of the pulse compound changes from harmonic to nonlinear oscillations. The periodic amplitude variations enable coupling of the pulse compound to dispersive waves, resulting in the resonant emission of multi-frequency radiation. We demonstrate that the location of the resonances can be precisely predicted by phase-matching conditions. If the pulse compound consists of a pair of identical subpulses, inherent symmetries lead to degeneracies in the resonance spectrum. Weak perturbations lift existing degeneracies and cause a splitting of the resonance lines into multiple lines. Strong perturbations result in more complex emission spectra, characterized by well separated spectral bands caused by resonant Cherenkov radiation and additional four-wave mixing processes.

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Section: Lifting the Degeneracies By Perturbationsmentioning

confidence: 97%

Section: Degenerated Multi-frequency Radiationmentioning

confidence: 99%

Section: Degenerated Multi-frequency Radiationmentioning

confidence: 99%

Section: Degenerated Multi-frequency Radiationmentioning

confidence: 99%

Section: Degenerated Multi-frequency Radiationmentioning

confidence: 99%

See 3 more Smart Citations

Resonant Kushi-comb-like multi-frequency radiation of oscillating two-color soliton molecules

et al. 2023

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Multi-octave two-color soliton frequency comb in integrated chalcogenide microresonators

Cheng,

Lin,

Xia

et al. 2024

Front. Optoelectron.

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Mid-infrared (MIR) Kerr microcombs are of significant interest for portable dual-comb spectroscopy and precision molecular sensing due to strong molecular vibrational absorption in the MIR band. However, achieving a compact, octave-spanning MIR Kerr microcomb remains a challenge due to the lack of suitable MIR photonic materials for the core and cladding of integrated devices and appropriate MIR continuous-wave (CW) pump lasers. Here, we propose a novel slot concentric dual-ring (SCDR) microresonator based on an integrated chalcogenide glass chip, which offers excellent transmission performance and flexible dispersion engineering in the MIR band. This device achieves both phase-matching and group velocity matching in two separated anomalous dispersion regions, enabling phase-locked, two-color solitons in the MIR region with a commercial 2-μm CW laser as the pump source. Moreover, the spectral locking of the two-color soliton enhances pump wavelength selectivity, providing precise control over soliton dynamics. By leveraging the dispersion characteristics of the SCDR microresonator, we have demonstrated a multi-octave-spanning, two-color soliton microcomb, covering a spectral range from 1156.07 to 5054.95 nm (200 THz) at a −40 dB level, highlighting the versatility and broad applicability of our approach. And the proposed multi-octave MIR frequency comb is relevant for applications such as dual-comb spectroscopy and trace-gas sensing. Graphical Abstract

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(Invited) Two-color soliton meta-atoms and molecules

Melchert

Willms

Babushkin

et al. 2023

Optik

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Cherenkov radiation and scattering of external dispersive waves by two-color solitons

Cited by 4 publications

References 67 publications

Resonant Kushi-comb-like multi-frequency radiation of oscillating two-color soliton molecules

Resonant Kushi-comb-like multi-frequency radiation of oscillating two-color soliton molecules

Multi-octave two-color soliton frequency comb in integrated chalcogenide microresonators

(Invited) Two-color soliton meta-atoms and molecules

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