Dependence of the integral polariton effect on the crystal thickness and light incidence geometry

Solutions of the problems of integrated absorption and amplitude-phase dispersion relations for transmission spectra in the range of isolated exciton resonances taking into account the interference of exciton-polariton waves based on the application of the causality principle to optical response functions and the limiting transition of these solutions for thick crystals are considered. It is shown that the results obtained are equivalent in the limit to the results of single-wave solution, which considers a wave with the least absorption. Generalization to the case of oblique incidence of light is performed.