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Nonlinear Fourier transform for analysis of optical spectral combs
S K Turitsyn1,2, I S Chekhovskoy1, M P Fedoruk1
1Novosibirsk State University, Novosibirsk 630090, Russia.
Physical Review. E
|March 19, 2021
Summary
The nonlinear Fourier transform (NFT) simplifies analyzing optical combs in the Lugiato-Lefever equation. This method aids in understanding dark solitons and modulation instability for generating coherent structures.
Area of Science:
- Nonlinear optics
- Optical communications
- Soliton physics
Background:
- Optical combs are crucial in nonlinear optics.
- The Lugiato-Lefever equation describes complex optical phenomena.
- Understanding modulation instability is key for coherent structure generation.
Purpose of the Study:
- To apply the nonlinear Fourier transform (NFT) for characterizing optical combs.
- To simplify the analysis of dissipative dark solitons and modulation instability regimes.
- To provide a platform for the analytical description of dissipative coherent structures.
Main Methods:
- Utilizing the nonlinear Fourier transform (NFT) signal processing technique.
- Analyzing optical combs within the Lugiato-Lefever equation framework.
- Approximating optical combs using discrete eigenvalues.
Main Results:
- Demonstrated NFT's effectiveness in characterizing optical combs under anomalous and normal dispersion.
- Showcased NFT's ability to simplify the analysis of dissipative dark soliton formation.
- Illustrated NFT's utility in understanding modulation instability for coherent structure generation.
Conclusions:
- The nonlinear Fourier transform (NFT) offers a powerful tool for analyzing complex optical phenomena.
- NFT provides an effective method for the analytical description of dissipative coherent structures.
- This approach facilitates a deeper understanding of optical comb dynamics and related instabilities.
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