Figure 3
From: Lagrangian Statistics and Intermittency in Gulf of Mexico
Measured Fourier power spectrum E(f) provided by padding zeros and autocorrelation function (denoted as E ρ (f)). Power-law behavior is observed on the range \(0.06\le f\le 0.6\,\,{{\rm{day}}}^{-1}\), and \(2\le f\le 8\,\,{{\rm{day}}}^{-1}\) respectively with scaling exponent \({\beta }_{L}^{F}=1.75\pm 0.08\) (resp. \({\beta }_{\rho ,L}^{F}=1.68\pm 0.10\)) and \({\beta }_{S}^{F}=2.75\pm 0.3\). For reference, the Kolmogorov −5/3 scaling for Eulerian velocity is shown as dashed line. For display clarity, the spectrum curve has been vertical shifted. The inset shows the compensated curve to emphasize the observed power-law behavior. This figure is prepared using a Python package, namely Matplotlib.
