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Constraints on the density and thermal 3D structure of the dense molecularcloud core Rho Oph D are derived from a detailed 3D radiative transfermodeling. Two ISOCAM images at 7 and 15 micron are fitted simultaneously byrepresenting the dust distribution in the core with a series of 3D Gaussiandensity profiles. Size, total density, and position of the Gaussians areoptimized by simulated annealing to obtain a 2D column density map. Theprojected core density has a complex elongated pattern with two peaks. Wepropose a new method to calculate an approximate temperature in an externallyilluminated complex 3D structure from a mean optical depth. This T(tau)-methodis applied to a 1.3 mm map obtained with the IRAM 30m telescope to find theapproximate 3D density and temperature distribution of the core Rho Oph D. Thespatial 3D distribution deviates strongly from spherical symmetry. Theelongated structure is in general agreement with recent gravo-turbulentcollapse calculations for molecular clouds. We discuss possible ambiguities ofthe background determination procedure, errors of the maps, the accuracy of theT(tau)-method, and the influence of the assumed dust particle sizes andproperties.Comment: 16 pages, 12 figure

3D continuum radiative transfer in complex dust configurations