Reconstruction of 2D structure of highly absorbing media

Dmitry V. Losev


This paper presents a solution for the tomography of smoothly heterogeneous highly absorbing medium using the amplitude trajectories method. The law of the amplitude trajectory curvature in asymmetric medium is determined, which is similar to Snell's law in geometric optics. The solutions obtained apply for the cases of axisymmetric and asymmetric medium in the approximations of the amplitude trajectory straightness and its slight curvature due to the medium's heterogeneities.  In the process of solving this problem, a new transform of Abel type has been discovered.

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