Abstract
The possibility of making ultrasonic 3D tomographs for medical diagnostics of soft tissues was established. The choice of frequencies of ultrasonic pulses of 300–500 kHz was due to low absorption in soft tissues within this range. The reverse problems of ultrasonic tomography, which are three-dimensional and nonlinear, have been considered in a model that takes into account both wave effects and absorption. The effectiveness of algorithms to solve the reverse problems that were developed has been illustrated by model calculations. The velocity configuration has been shown to be recovered better than the function that describes absorption in soft tissues.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. Duric, P. Littrup, A. Babkin, D. Chambers, S. Azevedo, R. Pevzner, M. Tokarev, E. Holsapple, O. Rama, and R. Duncan, Med. Phys. 32, 1375 (2005).
R. G. Pratt, L. Huang, N. Duric, and P. Littrup, Proc. SPIE 6510, 65104S (2007).
H. Gemmeke, A. Menshikov, D. Tchernikovski, L. Berger, G. Göbel, M. Birk, M. Zapf, and N. V. Ruiter, Nucl. Sci. Symp. Conf. Record (NSS/MIC), 2010 IEEE (Piscataway, 2010), p. 2449.
M. André, J. Wiskin, D. Borup, S. Johnson, H. OjedaFournier, and L. Olson, Conf. Proc. IEEE Eng. Med. Biol. Soc. (2012), p. 1110.
J. Wiskin, D. T. Borup, S. A. Johnson, and M. Berggren, J. Acoust. Soc. Am. 131, 3802 (2012).
V. A. Burov, D. I. Zotov, and O. D. Rumyantseva, Acoust. Phys. 60, 479 (2014).
V. A. Burov, D. I. Zotov, and O. D. Rumyantseva, Acoust. Phys. 61, 231 (2015).
A. V. Goncharsky, S. Y. Romanov, and S. Y. Seryozhnikov, Wave Motion 51, 389 (2014).
F. Natterer, Acoustic mammography in the time domain, Preprint, Inst. Appl. Math. (2008). http:// wwwmathuni-muensterde/num/Preprints/files/80pdf.
L. Pestov, J. Inverse Ill-Posed Probl. 22, 245 (2014).
F. Natterer, Contemp. Math. 559, 151 (2011).
L. Beilina and M. V. Klibanov, Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems (Springer, New York, 2012).
A. V. Goncharskii and S. Yu. Romanov, Comput. Math. Math. Phys. 52, 245 (2012).
A. V. Goncharsky and S. Y. Romanov, Inverse Probl. 29, 075004 (2013).
A. V. Goncharsky and S. Y. Romanov, Phys. Med. Biol. 59, 1979 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Goncharsky, S.Yu. Romanov, S.Yu. Seryozhnikov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 468, No. 3, pp. 268–271.
Rights and permissions
About this article
Cite this article
Goncharsky, A.V., Romanov, S.Y. & Seryozhnikov, S.Y. Low-frequency three-dimensional ultrasonic tomography. Dokl. Phys. 61, 211–214 (2016). https://doi.org/10.1134/S1028335816050086
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335816050086