Geodesic
Inverse problems of sounding pulse formation in ultrasound tomography: mathematical modeling and experiments
Numerical methods and programming, Tome 19 (2018) no. 2, pp. 150-157

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This paper is concerned with developing the methods of forming acoustic sounding pulses in ultrasound tomography applications. The inverse problem of forming acoustic sounding pulses is considered in the framework of linear models. This problem is ill-posed and requires the use of regularizing algorithms. Tikhonov's regularization scheme is used to solve the problem numerically. The developed algorithms are tested on model problems as well as on experimental data. In the experimental setup, the acoustic path includes a digital waveform generator, an amplifier, an ultrasound emitter, a hydrophone with a preamplifier, and an analog-digital converter. The applicability of the linear model and the efficiency of the proposed algorithms are substantiated experimentally.
Keywords: ultrasound tomography, waveform tomography, inverse problems, supercomputing technologies, regularizing algorithms. 
@article{VMP_2018_19_2_a2,
     author = {A. V. Goncharsky and S. Y. Romanov and S. Yu. Seryozhnikov},
     title = {Inverse problems of sounding pulse formation in ultrasound tomography: mathematical modeling and experiments},
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     pages = {150--157},
     publisher = {mathdoc},
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     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2018_19_2_a2/}
}
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A. V. Goncharsky; S. Y. Romanov; S. Yu. Seryozhnikov. Inverse problems of sounding pulse formation in ultrasound tomography: mathematical modeling and experiments. Numerical methods and programming, Tome 19 (2018) no. 2, pp. 150-157. http://geodesic.mathdoc.fr/item/VMP_2018_19_2_a2/