Multiple scattering results usually concern uniform distributions of scatterers. In this work, we evaluate the propagation of SH coherent waves through a non-uniform distribution of parallel flat cracks. The spatial variation of distribution is taken into account via replacing a heterogeneous medium by a stack of effective homogenous layers. Propagation in each layer is governed by the effective acoustic impedance and the effective wave number, which are derived by considering cracks as finite-size scatterers. On this basis, the reflection and transmission coefficients due to non-uniformly distributed scatterers are calculated by using the transfer matrix method. Effect of the distribution profiles is also investigated.
|Translated title of the contribution||Coherent wave propagation in solids containing spatially varying distribution of finite-size cracks|
|Title of host publication||Ultrasonic Wave Propagation in Non Homogeneous Media|
|Editors||A. Léger, M. Deschamps|
|Publisher||Springer Berlin Heidelberg|
|Pages||423 - 435|
|Number of pages||13|
|Publication status||Published - 2009|
|Name||Springer Proceedings in Physics|
Aristegui, C., Caleap, M., Poncelet, O., Shuvalov, AL., & Angel, YC. (2009). Coherent wave propagation in solids containing spatially varying distribution of finite-size cracks. In A. Léger, & M. Deschamps (Eds.), Ultrasonic Wave Propagation in Non Homogeneous Media (Vol. 128, pp. 423 - 435). (Springer Proceedings in Physics). Springer Berlin Heidelberg.