  We show that every open book decomposition of a contact 3-manifold can be
represented (up to isotopy) by a smooth R-invariant family of pseudoholomorphic
curves on its symplectization with respect to a suitable stable Hamiltonian
structure. In the planar case, this family survives small perturbations, and
thus gives a concrete construction of a stable finite energy foliation that has
been used in various applications to planar contact manifolds, including the
Weinstein conjecture and equivalence of strong and Stein fillability.
