|
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 3, Pages 372–378
(Mi zvmmf9665)
|
|
|
|
This article is cited in 8 scientific papers (total in 8 papers)
Problem of two-beam tomography
D. S. Anikonova, V. G. Nazarovb a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090 Russia
b bInstitute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041 Russia
Abstract:
An idea was developed suggested in a number of studies dealing with the search for inhomogeneous inclusions inside an unknown medium given the radiation measured in a plane outside the desired body. Specifically, the medium was proposed to be probed in two directions (at two angles) in contrast to previous works, where a single direction was used. Accordingly, the probing results became more informative: the determination of the object’s shadow on the measurement area (antenna) was supplemented with the possibility of localizing the desired body in space. A tomographic location algorithm was proposed that can underlie a new orientation method in arbitrary absorbing and scattering media. As before, the case was considered where direct visualization (photograph) fails to produce a distinguishable structure of the medium. The problem was solved by analyzing signals passing through the medium. A number of numerical experiments were performed by applying computer simulation. The numerical results were illustrated by plots and tomograms.
Key words:
tomography, radiation, location, radiation transfer equation.
Received: 22.04.2011 Revised: 18.08.2011
Citation:
D. S. Anikonov, V. G. Nazarov, “Problem of two-beam tomography”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012), 372–378; Comput. Math. Math. Phys., 52:3 (2012), 315–320
Linking options:
https://www.mathnet.ru/eng/zvmmf9665 https://www.mathnet.ru/eng/zvmmf/v52/i3/p372
|
Statistics & downloads: |
Abstract page: | 448 | Full-text PDF : | 103 | References: | 86 | First page: | 20 |
|