Zero dispersion Kerr solitons in optical microresonators

Execution tested with Matlab 2020a or newer on Windows. Unzip folder to access files. Contact miles.anderson@epfl.ch for any serious questions on the contents. All matlab code remains under copyright by the authors: Miles Anderson and Tobias J. Kippenberg, and is provided solely to be used to reproduce the figures of the aforementioned paper and example simulation results pertaining to the paper. Figure data and generation code is found in "Figure and Video Data\Scripts and Data". Run matlab scripts in the given folder to generate the figures. Other relevant figures containing data is found in "\Other". Four example matlab simulation scripts are found in "Simulation Example Code". Running 'lle_cavity_v4_SwitchWaveBasic_2g_2' models stable switching wave formation from pulse-driven wave-breaking amidst an adiabatic laser scan of the resonator. 'lle_cavity_v4_SwitchWaveBasic_5g_2' does the same but now with third-order dispersion enabled. The output is used to plot in Figure 2 of the main paper. Running 'lle_cavity_v4_CubicDKS_DispersionRotation7_4b' finds the solution to the LLE for a pulse-contained dissipative structure while the dispersion is cycled through the d2/d3 circle, producing the results shown in Figure 1 of the main paper, as well as Figure S1 in the supplementary information and the video. Running 'lle_SiNcavity_v4_CDSFormation_15b' uses experimental data to reproduce the experiment for the pulse-driven ZDS(4) according to the LLE, the results of which are shown in Figure 5(c,d) of the main paper, and Figure S4 of the supplementary information. The script parameters may be modified to find results under different driving conditions over different time periods as required. M. Anderson apologises in advance for the complexity, readability, and optimisation of the script.This work was supported by Contract No. D18AC00032 (DRINQS) from the Defense Advanced Research Projects Agency (DARPA), and funding from the Swiss National Science Foundation under grant agreements No. 176563 (BRIDGE) and 192293. This material is based upon work supported by the Air Force Office of Scientific Research under Award No. FA9550-19-1-0250