Applying the interaction picture to model Kerr frequency comb generation

Research output: Contribution to conferencePosterAcademic


The Lugiato-Lefever equation (LLE) is often used to model Kerr frequency comb generation and various mathematical techniques have been used to solve this equation. Typically, these techniques use a split-step method that is often supplemented with additional optimization steps. An alternative and promising method is the '4th-order Runge-Kutta method in the Interaction Picture' (RK4IP) [1], which has been successfully used to model supercontinuum generation and various phenomena in Bose-Einstein condensates. The algorithm is memory efficient and provides fourth-order global accuracy. We use the RK4IP algorithm as an efficient and robust solver for the LLE. We discuss the implementation and present first modelling results of Kerr frequency comb generation in silicon nitride rings.
[1] B. M. Caradoc-Davies, “Vortex dynamics in Bose–Einstein condensates,” Ph.D. dissertation, Univ. Otago, Dunedin, New Zealand, 2000
Original languageEnglish
Publication statusPublished - 8 Oct 2019
Event43rd Annual Meeting NNV AMO 2019 - Conference Center "De Werelt", Lunteren, Netherlands
Duration: 8 Oct 20199 Oct 2019
Conference number: 43


Conference43rd Annual Meeting NNV AMO 2019
Abbreviated titleNNV AMO 2019
Internet address


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