Premium
Identification of the boundary surface of an interstellar cloud from a measurement of the photon far‐field
Author(s) -
BelleniMorante A.,
Mugelli F.
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.493
Subject(s) - bounded function , boundary (topology) , photon , surface (topology) , interstellar cloud , boundary value problem , field (mathematics) , inverse problem , cloud computing , physics , inverse , regular polygon , near and far field , identification (biology) , interstellar medium , mathematics , geometry , mathematical analysis , quantum mechanics , pure mathematics , computer science , botany , galaxy , biology , operating system
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 Ω⊂R3. Under the assumption that the cross‐sections and the sources are known, we identify the boundary surface ∑ = ∂Ω(within a suitable family F of surfaces), provided that one value of the photon number density is measured at some given location far from Ω. Copyright © 2004 John Wiley & Sons, Ltd.