Problem of two-beam tomography

D. S. Anikonov ; V. G. Nazarov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 372-378

Résumé

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.