Dissipative Solitons and Switching Waves in Dispersion-Modulated Kerr Cavities

Execution tested with Matlab 2020a or newer on Windows. Unzip folder to access files.

Contact [e-mail] 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 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.

本代码已在Windows系统下的Matlab 2020a及更高版本中完成运行测试。请解压文件夹以获取全部文件。

若对本数据集的内容存在严肃学术疑问，请联系邮箱 [e-mail]。

所有Matlab代码均归作者Miles Anderson与Tobias J. Kippenberg所有，仅可用于复现上述论文的图表及与该论文相关的示例仿真结果。

图表数据及生成代码位于「Figure DataScripts and Data」文件夹中。运行该文件夹内的Matlab脚本即可生成对应图表。其余包含数据的相关图表可在「Other」文件夹中获取。

「Simulation Example Code」文件夹中包含7个示例Matlab仿真脚本。

运行`lle_cavity_v4_CW_FI_Low2`，可在无量纲单位下复现图3所示的连续波法拉第不稳定性（CW Faraday Instability）现象。

运行`lle_cavity_v4_Soliton_FI_1`，可在无量纲单位下模拟色散调制腔中带有凯利边带或高阶色散波的耗散孤子，对应图4内容。

运行`lle_cavity_v4_SW_FI_Low2`，可在无量纲单位下模拟色散调制腔中带有法拉第不稳定性衍生伴峰的开关波，对应图7内容。

运行`lle_SiNcavity_v4_SW_FaradaySatellite_F9C15R6_1_1b`（或简称为`1`），可基于实验数据复现根据LLE（Lugiato-Lefever方程）得到的脉冲驱动开关波相关实验，实验结果对应主论文图7(f)及补充材料图S5。

运行`lle_SiNcavity_v4_SW_FaradaySatellite_F2C15R5_2_3`（以及`3_1`），可基于实验数据复现根据LLE得到的脉冲驱动开关波相关实验，实验结果对应主论文图8、图9及补充材料图S6。

运行`lle_SiNcavity_v4_SolitonHDW_F1C16R6TM_5_s2`，可基于实验数据复现根据LLE得到的脉冲驱动孤子相关实验，对应主论文图6及补充材料图S9。

可根据实际需求修改脚本参数，以获取不同驱动条件、不同时长及不同采样率下的仿真结果。

作者Miles Anderson谨就脚本的复杂性、可读性与优化程度先行致歉。

本研究获得美国国防高级研究计划局（Defense Advanced Research Projects Agency, DARPA）合同号D18AC00032（DRINQS）资助。本材料基于美国空军科学研究办公室项目（项目编号FA9550-19-1-0250）开展。本研究同时获得欧盟地平线2020研究与创新计划（项目编号812818，玛丽·斯克沃多夫斯卡-居里ETN MICROCOMB）及瑞士国家科学基金会（项目编号192293）资助。