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Updated: Dec 10, 2025
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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
Published on: August 5, 2013
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Fluctuations and correlations in Kerr optical frequency combs with additive Gaussian noise
Yanne K Chembo1, Aurélien Coillet2, Guoping Lin3
1Department of Electrical and Computer Engineering, University of Maryland and Institute for Research in Electronics and Applied Physics (IREAP), 8279 Paint Branch Dr., College Park, Maryland 20742, USA.
Chaos (Woodbury, N.Y.)
|September 3, 2020
Summary
Environmental noise impacts Kerr optical frequency combs. We developed a theory to calculate field fluctuations and correlations, validated by simulations, advancing understanding of these complex systems.
Area of Science:
- Nonlinear optics
- Quantum optics
- Dynamical systems
Background:
- Kerr optical frequency combs are crucial for precision measurements and spectroscopy.
- Understanding the impact of environmental noise is essential for stable comb operation.
- The Lugiato-Lefever equation models these complex optical systems.
Purpose of the Study:
- To investigate the effects of environmental stochastic fluctuations on Kerr optical frequency combs.
- To develop a theoretical framework for calculating modal field fluctuations and correlations.
- To compare theoretical predictions with numerical simulations.
Main Methods:
- Utilizing the Lugiato-Lefever equation to model the Kerr optical frequency comb system.
- Incorporating additive noise into the theoretical model.
- Developing a general theory for computing field fluctuations and correlations.
- Performing numerical simulations for validation.
Main Results:
- Theoretical predictions for modal field fluctuations and correlations were derived.
- The developed theory accurately describes the system's behavior under stochastic fluctuations.
- Numerical simulations confirmed the validity of the proposed theoretical approach.
Conclusions:
- Environmental stochastic fluctuations significantly influence Kerr optical frequency combs.
- The proposed general theory provides a robust method for analyzing field fluctuations and correlations.
- This work offers valuable insights for designing and stabilizing optical frequency comb systems.
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