• Panel 1: Spatial Wave propagation ($R \rightarrow L$) driven by $k(t)x + \omega_0 t$.
• Panel 2: Rolling time series of $k(t)$ showing unreduced phase velocity swings.
• Panel 3: 3D Perspective traversal through the dynamic Lissajous field.
• Panel 4: One complete $2\pi$ cycle ribbon of $k(\theta)$ rotating at 2° per frame.