Nonlinear Fourier transform for characterization of the coherent structures in optical microresonators

Area of Science:

• Nonlinear optics
• Signal processing
• Optical systems

Background:

• Understanding radiation dynamics in optical systems is crucial for developing advanced technologies.
• Existing methods may not fully capture the complex, nonlinear behavior of light propagation.

Purpose of the Study:

• To propose and demonstrate the application of nonlinear Fourier transform (NFT) signal processing.
• To characterize the round trip scale dynamics of radiation in optical fibers and microresonators.

Main Methods:

• Utilizing the generic mean-field model.
• Applying the Zakharov-Shabat spectral problem for nonlinear Fourier transform (NFT) signal processing.

Main Results:

• Successfully demonstrated the application of NFT for characterizing radiation dynamics.
• Provided insights into the round trip scale dynamics in optical fiber- and microresonators.

Conclusions:

• Nonlinear Fourier transform (NFT) is a powerful tool for analyzing complex optical phenomena.
• This approach offers a novel method for characterizing light dynamics in various optical systems.