研究目的
Investigating various regimes of synchronization in systems of two coupled cavity soliton-based Kerr frequency combs and revealing their dynamics in the form of Arnold tongues.
研究成果
The study presents the first experimental and theoretical results on subharmonic, harmonic, and harmonic-ratio synchronization in systems of coupled cavity soliton Kerr combs, demonstrating Arnold tongue structures for each distinct synchronization regime. The findings significantly expand the scope of Kerr comb synchronization and have implications for optical telecommunications, spectroscopy, and astronomy.
研究不足
The study is limited by the technical difficulty in simultaneously aligning the center of the synchronization region with the two centers of the detuning ranges of stable comb operation in the two coupled microresonators. Additionally, the nonlinear response of the integrated heater and the phase drift of the coupling signal over the course of measurements introduce deviations between experimental and numerical results.
1：Experimental Design and Method Selection:
The study employs three silicon nitride (Si3N4) microresonators of different radii to investigate various orders of synchronization, including rational (noninteger) cases. The methodology involves coupling these microresonators and analyzing their synchronization behavior.
2：Sample Selection and Data Sources:
Three circular Si3N4 microring resonators with radii of 104.18 μm, 208.36 μm, and 312.54 μm are used, corresponding to approximate FSRs of 216 GHz, 108 GHz, and 72 GHz, respectively.
3：18 μm, 36 μm, and 54 μm are used, corresponding to approximate FSRs of 216 GHz, 108 GHz, and 72 GHz, respectively.
List of Experimental Equipment and Materials:
3. List of Experimental Equipment and Materials: The setup includes a tunable cw laser, erbium-doped fiber amplifier (EDFA), aspheric lenses, fiber polarization controllers, wavelength division multiplexers (WDMs), dispersion-compensating fiber (DCF), optical spectrum analyzer (OSA), and an electro-optic (EO) comb for direct characterization of the master comb spacing.
4：Experimental Procedures and Operational Workflow:
The experiment involves thermally tuning the master resonator while leaving the slave resonator free running to examine the synchronization behavior as a function of a mismatch between the spacings of the master and slave combs.
5：Data Analysis Methods:
The beat note between the two comb signals is detected on an oscilloscope, and the spectral spacings of the Kerr combs are inferred using an EO comb. Numerical simulations based on coupled Lugiato-Lefever equations corroborate the experimental results.
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