Determination of optical parameters of partially transparent materials by the invariant embedding method

Abstract

A method of invariant immersion to solve the inverse problem of identification of the indicators of the absorption and scattering of heat-resistant quartz ceramics by the spectra of the total reflection coefficients from a layer consisting of two different materials has been applied. An original numerical implementation of the method for the calculation of the functions of the reflection and transmission by the layer of the scattering and absorbing materials with reflective boundaries has been introduced. Its distinctive feature is the use of the equation matrix form in quadratures, which accelerates greatly the calculations in the MATLAB software. The results of the invariant immersion method are compared to asymptotic formulas and the Monte Carlo simulation results.