The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems
Figure 4
Projection of the evolution to POD modes. The top two figures are the singular values of the evolution demonstrated in (2) on both a regular scale and a log scale. This demonstrates that the soliton dynamics is primarily a two-mode dynamics as these two modes contain approximately 95% of the evolution energy. The first three modes are shown in the bottom panel.