Abstract

In linearized inverse scattering [1] and diffraction tomography [2] the complex index of refraction profile of a weakly inhomogeneous scattering object is reconstructed from measurements of the scattered field generated in a set of scattering experiments. In the so-called “classical” inverse scattering configuration the incident waves are monochromatic plane waves and the scattered field measurements are performed over the surface of a sphere, centered within the scatterer, and having a radius ρ that is much larger than the wavelength of the incident wave. This then amounts to having the complex valued scattering amplitude of the object as data and reconstruction algorithms exist [3–5] that allow the index of refraction profile to be estimated (reconstructed) from this data.

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