Direct and Inverse Problems in Elastic Multilayers with Reflection Data |
| |
Authors: | G Caviglia A Morro |
| |
Institution: | (1) Department of Mathematics, Via Dodecaneso 35, 16146 Genova, Italy;(2) DIBE, Via Opera Pia 11a, 16145 Genova, Italy |
| |
Abstract: | The paper deals with the reflection-transmission process generated by a multilayer with homogeneous, isotropic elastic slabs. The direct problem, namely the determination of reflected and transmitted (and internal) waves in terms of the incident one, is investigated and the solution is proved to exist and be unique. The proof is based on the validity of a first integral. Next the inverse problem is considered to determine the material parameters of the slabs through the measure of the (frequency-dependent) reflection coefficient at the boundary of the multilayer. As a result, the material parameters are found in closed form, though for two slabs only. |
| |
Keywords: | reflection transmission multilayer inverse problem reflection data |
本文献已被 SpringerLink 等数据库收录! |
|