Dissipative Solitons and Switching Waves in Dispersion-Modulated Kerr Cavities

Execution tested with Matlab 2020a or newer on Windows. Unzip folder to access files. <br> Contact [e-mail] for any serious questions on the contents.<br> 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 Data\Scripts and Data". Run matlab scripts in the given folder to generate the figures. Other relevant figures containing data is found in "\Other". Seven example matlab simulation scripts are found in "Simulation Example Code". Running 'lle_cavity_v4_CW_FI_Low2' models CW Faraday Instability appearance from Figure 3, in dimensionless units. Running 'lle_cavity_v4_Soliton_FI_1' models a dissipative soliton with Kelly sidebands or higher-order dispersive waves in dispersion modulated cavity, from Figure 4, in dimensionless units. Running 'lle_cavity_v4_SW_FI_Low2' models a switching wave with FI-motivated satellites in dispersion modulated cavity, from Figure 7, in dimensionless units. Running 'lle_SiNcavity_v4_SW_FaradaySatellite_F9C15R6_1_1b' (or just '1') uses experimental data to reproduce the experiment for the pulse-driven switching wave according to the LLE, the results of which are shown in Figure 7(f) of the main paper, and Figure S5 of the supplementary information. Running 'lle_SiNcavity_v4_SW_FaradaySatellite_F2C15R5_2_3' (and also '3_1') uses experimental data to reproduce the experiment for the pulse-driven switching wave according to the LLE, the results of which are shown in Figure 8 and 9 of the main paper, and Figure S6 of the supplementary information. Running 'lle_SiNcavity_v4_SolitonHDW_F1C16R6TM_5_s2' uses experimental data to reproduce the experiment as seen in Figure 6 for the pulse-driven soliton according to the LLE, results of which are shown in Figure S9 of the supplementary information. The script parameters may be modified to find results under different driving conditions and over different time periods and sampling rates 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). This material is based upon work supported by the Air Force Office of Scientific Research under Grant No. FA9550-19-1-0250. This work was further supported by the European Union’s Horizon 2020 Program for Research and Innovation under Grant No. 812818 (Marie Skłodowska-Curie ETN MICROCOMB) and by the Swiss National Science Foundation under Grant Agreement No. 192293.