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Determining the absorption in anisotropic media

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Show simple item record Gaburro, Romina Lionheart, William R. B. 2013-08-14T14:16:58Z 2013-08-14T14:16:58Z 2010
dc.description non-peer-reviewed en_US
dc.description.abstract The problem in Optical Tomography of determining the spacially dependent absorption coefficient in an anisotropic medium with a-priori known strong scattering is considered. The problem is modelled by the diffusion approximation of the Radiative Transfer Equation and the time-harmonic case is studied. In this particular situation the diffusion approximation leads to an elliptic second order partial differential equation with complex variable coefficients which allows to treat the problem equivalently to the inverse conductivity problem in Electrical Impedance Tomography (EIT). Results of uniqueness and stability for the absorption coefficient are proven by using the approach of the work in SIAM J. Math. Anal. 33 (2001), no. 1, 153–171 for the inverse conductivity problem in EIT en_US
dc.language.iso eng en_US
dc.relation.ispartofseries Inverse Problems & Imaging: Under revision
dc.rights This publication is under revision to American Institute of Mathematical Sciences en_US
dc.subject optical tomography en_US
dc.title Determining the absorption in anisotropic media en_US
dc.type info:eu-repo/semantics/preprint en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.contributor.sponsor EPSRC en_US
dc.relation.projectid EP/FO33974/1 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US

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