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Soliton synchronization in microresonators with a modulated pump.

Jorge Palacio Mizrahi1, Logan Courtright2, Pradyoth Shandilya2

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Pump modulation stabilizes microresonator Kerr solitons by locking their repetition rate to the modulation frequency. Amplitude modulation with a strong, red-detuned pump offers optimal soliton entrainment, though high modulation frequencies limit effectiveness.

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Area of Science:

  • Nonlinear optics
  • Quantum optics
  • Photonics

Background:

  • Microresonator frequency combs are a cutting-edge technology.
  • Kerr solitons are crucial for microresonator frequency comb generation.
  • Challenges exist in creating, maintaining, and controlling these solitons.

Purpose of the Study:

  • To investigate pump modulation for stabilizing Kerr solitons in microresonators.
  • To derive the equation of motion for solitons under modulated pump conditions.
  • To analyze the soliton repetition rate locking to pump modulation frequency.

Main Methods:

  • Derivation of the soliton equation of motion using synchronization theory.
  • Analytical and numerical calculations of the locking range width.
  • Perturbation theory for analyzing locking range dependence on parameters.

Main Results:

  • Soliton repetition rate locks to modulation frequency within a specific range.
  • Locking range width depends on pump amplitude, frequency, and modulation phase.
  • Amplitude-modulated, strong, red-detuned pumps provide optimal entrainment conditions.

Conclusions:

  • Pump modulation is a viable technique for soliton control in microresonators.
  • The locking range width is proportional to the square of the modulation frequency.
  • High radiofrequency (RF) modulation frequencies are limited in their effectiveness for entrainment.