The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems
Figure 3
Projection of the evolution to POD modes. The top two figures are the singular values of the evolution demonstrated in (1) on both a regular scale and log scale. This demonstrates that the soliton dynamics is primarily a single-mode dynamics. The first two modes are shown in the bottom panel. Indeed, the second mode is meaningless and is generated from noise and numerical roundoff.
