Two inverse problems in photon transport theory: evaluation of a time-dependent source and of a time-dependent cross section
identification of some physical or geometrical quantity (such as a cross section, or a photon source, or the shape of the surface that bounds the host medium), evaluating its dependence on spatial and/or angle variables, under the assumption that photon transport is time independent and starting, for instance, from the knowledge of the exiting photon flux;
identification of some physical or geometrical quantity that characterizes the host medium, evaluating its dependence on spatial and/or angle variables and on time, under the assumption that photon transport is time dependent and starting, for instance, from the knowledge of the time behaviour of the exiting photon flux.
KeywordsInverse Problem Abstract Equation Photon Density Interstellar Cloud Host Medium
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- A. Belleni-Morante. A time-dependent inverse problem in photon transport, Proceedings of the Internat. Meeting “New Trends in Mathematical Physics,” 1–11, World Scientific, Singapore, 2004.Google Scholar
- F. Mugelli and A. Belleni-Morante. Identification of a time-dependent source in an interstellar cloud. Ann. Univ. Ferrara, Sez. VII, Sc. Mat., in print.Google Scholar
- M.A. Dopite and R.S. Sutherland, Astrophysics of the Diffuse Universe, Springer, Berlin, 2003.Google Scholar
- G.C. Pomraning, Radiation Hydrodynamics, Pergamon Press, Oxford, 2003.Google Scholar