The paper concerns the analysis of the correlations of wave fields propagating in heterogeneous media. We show that selected field-field correlations asymptotically propagate in non-scattering media, i.e., propagate as if the underlying medium was homogeneous. Such correlations are therefore good candidates for imaging strategies in heterogeneous media based on back-propagations in a homogeneou...

We derive fully nonlinear, weakly dispersive model equations for propagation of surface gravity waves in a shallow, homogeneous ocean of variable depth on the surface of a rotating sphere. A numerical model is developed for the weakly nonlinear version of the model based on a combined finite-volume and finitedifference method with a fourth-order MUSCL-TVD scheme in space and a third-order SSP R...

The purpose of this work was to investigate the effect of solute size on diffusive-dispersive transport in porous media. Miscible displacement experiments were performed with tracers of various sizes (i.e. tritiated water (3H20), pentafluorobenzoate (PFBA), and 2,4-dichlorophenoxyacetic acid (2,4-D)) and a homogeneous, nonreactive sand for pore-water velocities varying by three orders of magnit...

─ This paper presents a new method to model inhomogeneous media in commercial electromagnetics software, especially FEKO. In this method, the inhomogeneous medium is fragmented to some homogeneous pieces. If the size of these pieces is chosen correctly, then the electromagnetic behaviors of them and inhomogeneous medium are the same. Since creating these homogeneous pieces in FEKO manually is v...

We study the problem of a temporal discontinuity in permittivity an unbounded medium with Lorentzian dispersion. More specifically, we tackle situation which monochromatic plane wave forward-traveling (generally lossy) Lorentzian-like scatters from interface that results instantaneous and homogeneous abrupt change its plasma frequency (while keeping resonance constant). In order to achieve mome...

Third order shear deformation theory of cylindrical shells is employed to investigate the vibration characteristics of non-homogeneous cylindrical shells surrounded by an elastic medium. The kinematic relations are obtained using the strain-displacement relations of Donnell shell theory. The shell properties are considered to be dependent on both position and thermal environment. A suitable fun...

We define the double ramification hierarchy associated to an F-cohomological field theory and use this construction prove that principal of any semisimple (homogeneous) flat F-manifold possesses a integrable dispersive deformation at all orders in dispersion parameter. The proof is based on reconstruction F-CohFT starting from additional data genus $1$, obtained our previous work. Our these def...