Simultaneous reconstruction of the thicknesses of a layered medium: The inverse problem
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The objective of this work is to measure the acoustical properties of individual layers, particularly the individual layer thicknesses, in a multi-layered medium. The layered medium in this study was a laminated plate consisting of three metallic layers. The theoretical model for the transmission of a longitudinal wave through the layered medium was obtained by using the well-known T-matrix approach. A multi-parameter inversion scheme was developed. Experiments were conducted on several commercially available three-layered metallic specimens using transducers of different center-frequencies. Sensitivity analysis was performed and errors for the measurements were estimated from the 3-D error surface plot. Good agreement between the ultrasonic measurement and direct microscopic measurement of the thicknesses was observed for all the specimens tested.
author list (cited authors)
Kinra, V. K., Wang, Y., Zhu, C., & Rawal, S. P.