Extended Data Fig. 3: Impact flux density amplification rates.
From: Emergence of wind ripples controlled by mechanics of grain–bed impacts

Hop-length amplification rates \({\mathcal{R}}(k\ell )\) and \({\mathcal{S}}(k\ell )\) rescaled by \({\langle \cot \theta \rangle }_{n}=\int\cot \theta (\ell ){P}_{n}(\ell ){\rm{d}}\ell\) (Supplementary Information Section 2). Circles are DEM measurements for Earth conditions and lines are predictions from the analytical model using geometrical hop length changes (Extended Data Figure 2). DEM markers are scaled down by a factor of 1.5 to take into account the missing Δℓ contributions. The dashed lines are the approximations \({\mathcal{R}}\propto \sin k\ell\) and \({\mathcal{S}}\propto 1+\cos k\ell\) (see Supplementary Information Section 2).