ИСТИНА

Results of numerical modeling of iterative approximate reconstruction algorithm proposed in [1] are considered. Reconstruction results for complex-valued scatterers are compared with estimates obtained by using non-iterative functional algorithm [2-3], numerically implemented before [4]. Perspectives of the considered iterative approach in acoustic tomography problems are discussed. 1. Novikov R.G. An iterative approach to non-overdetermined inverse scattering at fixed energy // Sbornik: Mathematics. 2015. V. 206. N 1. P.120-134. https://hal.archives-ouvertes.fr/hal-00835735 2. Novikov R.G. Rapidly converging approximation in inverse quantum scattering in dimension 2 // Physics Letters A. 1998. V. 238. N 2–3. P. 73–78. 3. Novikov R.G., Santacesaria M. Monochromatic reconstruction algorithms for two-dimensional multi-channel inverse problems // International Mathematics Research Notices. Oxford University Press (OUP). 2013. N. 6. P. 1205-1229. https://hal.archives-ouvertes.fr/hal-00594674 4. Burov V.A., Shurup A.S., Zotov D.I., Rumyantseva O.D. Simulation of a functional solution to the acoustic tomography problem for data from quasi-point transducers // Acoustical Physics. 2013. V. 59. N 3. P. 345–360.