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

<table>Evolution of the <svg height="11.3125" id="M73" style="vertical-align:-0.1092pt" version="1.1" viewbox="0 0 42.5625 11.3125" width="42.5625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><use xlink:href="#x1D441"></use></g><g transform="matrix(.017,-0,0,-.017,19.628,11.113)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,34.332,11.113)"><use xlink:href="#x32"></use></g>
</svg> soliton. Here a periodic dynamics is observed, and approximately 200 Fourier modes are required to model accurately the behavior.</table>

International Journal of Optics

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Figure 2

Figure 2: The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems 