Abstract
A set of time-domain analytical forward solvers for Raman signals detected from homogeneous diffusive media is presented. The time-domain solvers have been developed for two geometries: the parallelepiped and the finite cylinder. The potential presence of a background fluorescence emission, contaminating the Raman signal, has also been taken into account. All the solvers have been obtained as solutions of the time dependent diffusion equation. The validation of the solvers has been performed by means of comparisons with the results of "gold standard" Monte Carlo simulations. These forward solvers provide an accurate tool to explore the information content encoded in the time-resolved Raman measurements.
Highlights
Due to its excellent chemical specificity, Raman spectroscopy has been largely investigated in biomedical diagnosis and industrial applications [1]
The code was accelerated by means of a Graphical Processing Unit (GPU) and has been written adapting the CUDA-based code published by Alerstam et al [36] for a laterally infinite slab
In the proposed analytical solutions we have included the option to account for the influence of a background fluorescence, on the Raman signal, generated by a fluorophore uniformly distributed inside the medium
Summary
Due to its excellent chemical specificity, Raman spectroscopy has been largely investigated in biomedical diagnosis and industrial applications [1]. Theoretical models may serve as a support for simulation studies in the development of novel measurement schemes, or in the understanding of the physics of Raman signal from its generation to its propagation and detection. For this reason, in the present work we address the rigorous modeling of TR diffused Raman based on the diffusion approximation (DA) to the Radiative Transfer Equation (RTE). The range of validity of an often used simplified heuristic model [6] for time-domain Raman signal is discussed
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