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Procedure for retrieving the optical properties of a two-layered medium from time-resolved reflectance measurements
Fabrizio Martelli1, Samuele Del Bianco, Giovanni Zaccanti
1Dipartimento di Fisica dell'Università degli Studi di Firenze and Istituto Nazionale per la Fisica della Materia, Via G. Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy. fabrizio.martelli@unifi.it
Abstract:
A procedure for retrieving the optical properties of a two-layered diffusive medium based on an exact analytical solution of the diffusion equation and on relative multidistance time-resolved reflectance measurements is presented. The method overcomes some limitations of previously developed procedures. Five parameters of the medium have been fitted: the absorption and the reduced scattering coefficients of both layers and the thickness of the first layer. The actual values of the parameters are correctly retrieved by the procedure. The inversion procedure does not require an initial guess for the unknown optical properties, but the starting value for the thickness of the first layer needs to be estimated with an error smaller than 50%.