Turitsyn S K, Chekhovskoy I S, Fedoruk M P
Novosibirsk State University, Novosibirsk 630090, Russia.
Aston Institute of Photonic Technologies, Aston University, Birmingham B4 7ET, United Kingdom.
Phys Rev E. 2021 Feb;103(2):L020202. doi: 10.1103/PhysRevE.103.L020202.
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.
非线性傅里叶变换（NFT）用于表征具有反常色散和正常色散的Lugiato-Lefever方程中的光学频率梳。我们证明，NFT信号处理技术可以通过用几个离散本征值近似频率梳，简化对耗散暗孤子形成的分析以及利用调制不稳定性产生相干结构的机制，从而为耗散相干结构的解析描述提供一个平台。
