Contents 1 Wave equations and First-order hyperbolic systems 4 1.

Wave fields traveling through a varying medium (e.g. topography, currents), can develop well-defined focal zones and caustics, where the wave field is highly coherent and wave statistics vary rapidly. However, the presence and evolution of such coherent structures in the wave field are not resolved in a quasi-homogeneous description of the wave field (e.g. the radiative transport equation), and...

In time reversal acoustics experiments, a signal is emitted from a localized source, recorded at an array of receivers-transducers, time reversed, and finally re-emitted into the medium. A celebrated feature of time reversal experiments is that the refocusing of the re-emitted signals at the location of the initial source is improved when the medium is heterogeneous. Contrary to intuition, mult...

The propagation of borehole acoustic waves in the presence of various types of heterogeneous formations is investigated by modeling them as stratified media with varying velocity-depth distributions. Two types of formations are modeled, using translational and cyclic random models, respectively. Borehole acoustic wavefields for the heterogeneity formation models are simulated using finite-diffe...

We consider waves propagating through multiscale media. Much is known about waves propagating through a medium that satisfies a scale separation assumption with random fluctuations on a microscale. Here we go beyond this situation and consider waves propagating through a medium defined in terms of a long range process. Such a medium can for instance be modeled in terms of a one-dimensional frac...

In an attempt to determine the outer scale of turbulence driven by localized sources, such as supernova explosions in the interstellar medium, we consider a forcing function given by the gradient of gaussian profiles localized at random positions. Different coherence times of the forcing function are considered. In order to isolate the effects specific to the nature of the forcing function we c...

Waves in Random and Complex Media Publication details, including instructions for authors and subscription information: http://www-intra.informaworld.com/smpp/title~content=t716100762 Waves and fracture in an inhomogeneous lattice structure G. S. Mishuris a; A. B. Movchan b; L. I. Slepyan c a Department of Mathematics, Rzeszów University of Technology, Poland b Department of Mathematical Scienc...

In recent years there has been increasing interest in the use of polarization for imaging objects in a cluttered environment. Examples are optical imaging through clouds, optical detection of objects in a biological medium, and microwave detection of objects in clutter. We extend previous studies of continuous-wave scattering to pulse-polarization scattering in discrete scatterers. We solve the...

The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused...

Many physiologic functions fluctuate with time and the wave forms vary in complexity. Simple waves, such as the peripheral pulse, present no serious problem in analysis. When, however, the wave form is complex in appearance, existing analytic methods do not yield precise information. The general similarity between complex physiologic wave patterns and communication signals, such as sound waves,...