### Abstract

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 |
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Original language | English |

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 |

Volume | 128 |

ISBN (Print) | 7893540891048 |

Publication status | Published - 2009 |

### Publication series

Name | Springer Proceedings in Physics |
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## Cite this

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.