The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems

Figure 6

Comparison of (a) full PDE dynamics and (b) two-mode POD dynamics. In the bottom two figures, the phase of the pulse evolution at 𝑥=0 (middle panel) is plotted for the full PDE simulations and the two-mode dynamics along with the nonlinear oscillation dynamics of 𝑎₁(𝑡) and 𝑎₂(𝑡) (bottom panel).

(a)

(b)

(c)

(d)