Inverse scattering, or the inverse scattering problem, is the problem of determining the characteristics of an object (its shape, internal constitution, etc.) from measurement data of radiation or particles scattered from the object.
It is the inverse problem to the direct scattering problem, which is determining the distribution of scattered radiation/particle flux basing on the characteristics of the scatterer.
Inverse boundary value problems are a class of problems in which the unknown coefficients of a partial differential equation represent internal parameters of a medium, and the known information consists of boundary measurements of the solutions.
A related inverse boundary value problem is diffuse tomography, which refers to low-energy imaging in which the paths of the radiant energy are not necessarily straight and are unknown.
The scattered field is measured, and from this data one attempts to determine the properties of the scatterer.
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