Reconstruction of a complex-shaped defect from the known arrival time of the reflected ultrasonic wave |
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Authors: | N V Boev V M Zotov É A Troyan |
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Institution: | (1) Rostov State University, ul. Bol’shaya Sadovaya 105, Rostov-on-Don, 344006, Russia;(2) Research Institute of Mechanics and Applied Mathematics of Rostov State University, pr. Stachki 200/1, Rostov-on-Don, 344090, Russia |
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Abstract: | The problem of reconstructing the boundary of an arbitrarily shaped defect formed inside an elastic body from the measured time of arrival of the reflected ultrasonic wave in the echo method is considered. The characteristic size of the defect is assumed to be greater than the wavelength, and the defect is irradiated from the far-field zone, which means that the incident wave can be considered as plane. An algorithm is developed for reconstructing the convex envelope of a nonconvex defect from the arrival times of echo signals measured at different angles with the use of circular scanning. |
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