Exact analytical solutions and corresponding Monte Carlo models for the problem of light transport in turbid media with continuous absorption and discrete scattering at the single scattering approximation (original) (raw)

In spite of the radiative transport theory is widely used in various problems of biomedical optics, ocean optics, optics of atmosphere, etc., there are few light transport problems that can been solved analytically. Therefore, Monte Carlo (MC) numerical simulations are used in the majority of practical applications. In this work, the problem of light transport in continuously absorbing and discrete scattering media for the pencil-like incident beam was considered theoretically at the single scattering approximation. The strict and closed-form analytical solutions of the problem were derived and compared with МС numerical results. Two sets of probabilistic parameters for the MC algorithm were explored. The first one was the classical set for continuous absorbing and smooth scattering media, while the second one was the newly substantiated set for continuous absorbing and discrete scattering media corresponding to the analytical medium's model used. It was shown, that if the same model is used in the MC simulations and the analytical approach, all results are identical. The divergence up to 10% between obtained analytics and MC results for the case of continuous absorption and smooth scattering was observed.