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.
CITATION STYLE
Aristégui, C., Caleap, M., Poncelet, O., Shuvalov, A. L., & Angel, Y. C. (2009). Coherent wave propagation in solids containing spatially varying distributions of finite-size cracks. In Springer Proceedings in Physics (Vol. 128, pp. 423–434). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-540-89105-5_37
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