Summary
In the time domain, the inverse problem using reflection data is investigated for a number of homogeneous (isotropic) layers which are sandwiched betweeen two homogeneous half spaces. The present approach is applicable to elastic as well as electromagnetic waves. The main feature of the approach is that the reflected wave is determined through the incident pulse in a simple explicit way by applying properly the consequences of the continuity conditions at interfaces separating the layers. The time record of the reflected wave provides then the travel time across the single layer and hence its impedance, by means of simple recursive algebraic operations.
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Caviglia, G., Morro, A. Inversion of reflection data in an isotropic multilayered medium. Acta Mechanica 189, 65–72 (2007). https://doi.org/10.1007/s00707-006-0408-6
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DOI: https://doi.org/10.1007/s00707-006-0408-6