The three-dimensional inverse-scattering and inverse-source problems with a planar aperture.

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Bibliographic Details
Title: The three-dimensional inverse-scattering and inverse-source problems with a planar aperture.
Authors: Norton, Stephen J.1 sjnorton@duke.edu
Source: Journal of the Acoustical Society of America. Jun2015, Vol. 137 Issue 6, pEL443-EL448. 6p.
Subjects: Inverse scattering transform, Scattering potentials, Integral equations, Green's functions, Born approximation, Degrees of freedom, Fourier transforms, Cross correlation
Abstract: When signals are recorded on a planar aperture with point emitters/detectors, from either a three-dimensional (3D) scattering potential or from a 3D spatially-incoherent source distribution, an integral equation arises containing the product of two Green's functions in the weak scattering limit (the Born approximation). This fundamental imaging equation for scatterers or sources is derived and solved analytically. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:When signals are recorded on a planar aperture with point emitters/detectors, from either a three-dimensional (3D) scattering potential or from a 3D spatially-incoherent source distribution, an integral equation arises containing the product of two Green's functions in the weak scattering limit (the Born approximation). This fundamental imaging equation for scatterers or sources is derived and solved analytically. [ABSTRACT FROM AUTHOR]
ISSN:00014966
DOI:10.1121/1.4921672