We study an inverse problem for photon transport in a host medium (e.g. an interstellar cloud), that occupies a bounded and strictly convex region Omega in R3. Under the assumption that the cross-sections and the sources are known, we identify the boundary surface (within a suitable family F of surfaces), provided that one value of the photon number density is measured at some given location far from Omega.
Identification of the boundary surface of an interstellar cloud from a measurement of the photon far field / A. BELLENI MORANTE; F.MUGELLI. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 27:(2004), pp. 627-642. [10.1002/mma.493]
Identification of the boundary surface of an interstellar cloud from a measurement of the photon far field
BELLENI MORANTE, ALDO;MUGELLI, FRANCESCO
2004
Abstract
We study an inverse problem for photon transport in a host medium (e.g. an interstellar cloud), that occupies a bounded and strictly convex region Omega in R3. Under the assumption that the cross-sections and the sources are known, we identify the boundary surface (within a suitable family F of surfaces), provided that one value of the photon number density is measured at some given location far from Omega.
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