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Updated: May 2, 2026
12:18
Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
Published on: August 5, 2013
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Coherence properties of Kerr frequency combs
Optics Letters
|February 25, 2014
Summary
We quantify Kerr frequency comb coherence using an ensemble average of output fields. This method reveals different coherence regimes linked to the Lugiato-Lefever equation (LLE) and assesses microresonator comb stability.
Area of Science:
- Nonlinear optics
- Quantum optics
- Photonics
Background:
- Kerr frequency combs are crucial for various applications.
- Understanding their stability is essential for practical use.
- Microresonator-based combs offer compact solutions.
Purpose of the Study:
- To develop a method for quantifying Kerr frequency comb coherence.
- To investigate the stability properties of combs generated in microresonators.
- To link comb coherence to the underlying Lugiato-Lefever equation (LLE).
Main Methods:
- Numerical simulations using an extended Lugiato-Lefever equation (LLE).
- Calculating an ensemble average over sequences of output fields.
- Quantifying coherence using the complex degree of first-order coherence.
Main Results:
- Identified distinct regimes of Kerr comb coherence.
- Linked these regimes to specific solutions of the LLE.
- Demonstrated a practical method for assessing comb stability.
Conclusions:
- The ensemble average provides an unambiguous measure of Kerr comb coherence.
- The approach connects theoretical predictions with experimental observables.
- This work offers a practical tool for evaluating microresonator comb stability.
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