This abstract describes a transformation from a heterogeneous scalar (classical) wave equation to a Schrödinger equation with heterogeneous potential, which allows to extend the localization landscape technique to classical wave equations in 3D for a larger class of fluctuating parameters. That transformation is based on a coordinate mapping, dependent on the fluctuating velocity, and on a similarity transformation. The heterogeneous potential in the Schrödinger equation is an analytical function of the impedance of the acoustic equation. The use of this transformation to design a localization landscape technique for the acoustic wave equation is detailed.