  We prove Ornstein-Zernike behaviour in every direction for finite connection
functions of bond percolation on $\mathbb{Z}^{d}$ for $d\geq3$ when $p,$ the
probability of occupation of a bond, is sufficiently close to $1.$ Moreover, we
prove that equi-decay surfaces are locally analytic, strictly convex, with
positive Gaussian curvature.
