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      An explicit formulation for the inverse transport problem using only external detectors: Part II: Application to one-dimensional homogeneous and heterogeneous participating media

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          Abstract

          The steady state inverse radiative transfer problem in one-dimensional participating media is studied as an example of application of the new methodology presented in a accompanying paper by the authors [2]. Spectral methods are used for the appropriate analysis of the direct transport problem. For the inverse problem, we present a matrix that involves only values of the flux intensities at the boundary of the medium. Its columns are built with a set of linearly independent solutions for the system, which is formed when angular half-range prescribed boundary values and the complementary measured half-range boundary values are coupled. The final inverse albedo problem is treated as a full range two point boundary value problem. Test cases results are presented. Mathematical subject classification: 80A23, 15A29.

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          Most cited references 10

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          Semigroups of Linear Operators and Applications to Partial Differential Equations

           A. Pazy (1983)
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            Retrievals of aerosol single-scattering albedo and effective aerosol layer height for biomass-burning smoke: Synergy derived from “A-Train” sensors

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              An inverse problem of simultaneous estimation of radiation phase function, albedo and optical thickness

               A. Neto (1995)
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                Author and article information

                Contributors
                Role: ND
                Role: ND
                Role: ND
                Journal
                cam
                Computational & Applied Mathematics
                Comput. Appl. Math.
                Sociedade Brasileira de Matemática Aplicada e Computacional (São Carlos )
                1807-0302
                2010
                : 29
                : 3
                : 359-374
                Affiliations
                [1 ] Universidade do Estado do Rio de Janeiro Brazil
                [2 ] Universidade Federal do Rio de Janeiro Brazil
                Article
                S1807-03022010000300003
                10.1590/S1807-03022010000300003

                http://creativecommons.org/licenses/by/4.0/

                Product
                Product Information: SciELO Brazil
                Categories
                MATHEMATICS, APPLIED

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