Abstract
The paper presents an algorithm for reconstructing the shape of non-convex solid obstacles in two-dimensional acoustic and elastic media, as well as cavity defects in an elastic material in the ray approximation. We consider simply connected regions of obstacles in continuous media with a non-smooth boundary contour of positive curvature, which has a finite number of corner points, the opening angle of which is greater than the right one. Circular irradiation of the object boundary by a longitudinal wave is carried out in the echo mode. The reconstruction algorithm includes two stages. At the first stage, a convex shell of the obstacle boundary is constructed from the known arrival time of the reflected short-wavelength pulse. At the second stage, the convex parts of the object boundary located inside the convex shell are reconstructed from the known real amplitude of the echo signal. It has been established that the accuracy of the object shape reconstruction improves with an increase in the oscillation frequency.
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Boyev, N.V. (2023). Reconstruction of the Shape of Obstacles Located in Two-Dimensional Acoustic and Elastic Media from the Characteristics of Scattered Short Longitudinal Waves. In: Parinov, I.A., Chang, SH., Soloviev, A.N. (eds) Physics and Mechanics of New Materials and Their Applications. Springer Proceedings in Materials, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-031-21572-8_27
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DOI: https://doi.org/10.1007/978-3-031-21572-8_27
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