Some existence theorems for the Hehnholtz equation in three dimensions and in all space are proven, when the index of refraction is characterized by a random function. These results are used to apply the Born approximation for the scattering of a wave incident in a thin indefinite layer.
Acoustic wave propagation in one-dimensional random media: the wave localization approach
β Scribed by Mirko Van Der Baan
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 596 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0956-540X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We use an asymptotic expansion introduced by Benilov and Pelinovski Θ to study the propagation of a weakly nonlinear hyperbolic wave pulse through a stationary random medium in one space dimension. We also study the scattering of such a wave by a background scattering wave. The leading-order solutio
## Abstract Nonβlocal dispersive model for wave propagation in heterogeneous media is derived from the higherβorder mathematical homogenization theory with multiple spatial and temporal scales. In addition to the usual spaceβtime coβordinates, a fast spatial scale and a slow temporal scale are intr