Inverse radiation problem of sources and emissivities in one-dimensional semitransparent media

An inverse analysis is presented for simultaneous estimation of the source term distribution and the boundary emissivity for an absorbing, emitting, a nisotropic scattering, and gray plane-parallel medium with opaque and diffu se bounding surfaces from the knowledge of the exit radiation intensities a nd temperature at boundary surfaces. The inverse problem is formulated as a n optimization problem that minimizes the errors between the exit radiation intensities calculated and the experimental data. The conjugate gradient m ethod and the two-dimensional network searching method are used to solve th e inverse problem. The effects of the measurement errors, anisotropic scatt ering, single-scattering albedo, optical thickness, and boundary emissivity on the accuracy of the inverse analysis are investigated. The results show that the source term and the boundary emissivity can be simultaneously est imated accurately for exact and noisy data, and the estimation of boundary emissivity is more sensitive to the measurement errors. (C) 2000 Elsevier S cience Ltd. All rights reserved.