Fast method for computer simulation of luminescence characteristics of multilayer biological tissues with embedded luminescent nanoparticles

We report a fast and computationally stable method for computer simulation of optical properties of layered scattering systems containing luminescent layers. The method is based on the solution of one-dimensional scalar radiative transfer equations and makes it possible to calculate spectral and angular characteristics of luminescent radiation emerging from the system under various conditions of luminescence excitation. The method is used to estimate the parameters necessary for determining temperature in subcutaneous layers from luminescence spectra of up-conversion nanoparticles embedded in these layers during transcutaneous optical probing.