TY - EJOU
AU - Knupp, D. C.
AU - Neto, A. J. Silva
TI - Solution of the Inverse Radiative Transfer Problem of Simultaneous Identification of the Optical Thickness and Space-Dependent Albedo Using Bayesian Inference
T2 - Computer Modeling in Engineering \& Sciences
PY - 2013
VL - 96
IS - 5
SN - 1526-1506
AB - Inverse radiative transfer problems in heterogeneous participating media applications include determining gas properties in combustion chambers, estimating environmental and atmospheric conditions, and remote sensing, among others. In recent papers the spatially variable single scattering albedo has been estimated by expanding this unknown function as a series of known functions, and then estimating the expansion coefficients with parameter estimation techniques. In the present work we assume that there is no prior information on the functional form of the unknown spatially variable albedo and, making use of the Bayesian approach, we propose the development of a posterior probability density, which is explored using the Markov Chain Monte Carlo method (MCMC) implemented with the Metropolis-Hastings algorithm. Moreover, since the scattering and the absorption coefficients, which are in fact the primary properties that produce the single scattering albedo, are considered unknown, then the optical thickness must also be considered unknown. Thus, in this work, the optical thickness is simultaneously estimated with the spatially variable single scattering albedo. Simulated experimental data have been used for the inverse problem solution considering different functional forms for the spatially variable albedo, and different optical thicknesses of the medium. The results are critically investigated, and the good performance observed demonstrates the feasibility of this approach.
KW - radiative transfer
KW - space-dependent albedo
KW - inverse problem
KW - bayesian inference
KW - markov chain monte carlo methods
DO - 10.3970/cmes.2013.096.339