The nonlinear Fourier transform (NFT) is used to characterize the optical combs in the Lugiato-Lefever equation with both anomalous and normal dispersion. We demonstrate that the NFT signal processing technique can simplify analysis of the formation of dissipative dark solitons and regimes exploiting modulation instability for a generation of coherent structures, by approximating the comb with several discrete eigenvalues, providing a platform for the analytical description of dissipative coherent structures.
Bibliographical note©2021 American Physical Society. Nonlinear Fourier transform for analysis of optical spectral combs
S. K. Turitsyn, I. S. Chekhovskoy, and M. P. Fedoruk
Phys. Rev. E 103, L020202 – Published 18 February 2021