Light localization at oblique incidence on a random system of magnetodielectric layers

The Brewster phenomenon is numerically studied in random system of isotropic magnetodielecrtic layers. It is shown that if the values of permittivity and permeability are randomly distributed whereas the characteristic impedance does not change throughout the system, the Lyapunov exponent (the inverse localization length) grows with the angle of incidence and does not depend on the polarization of the incident wave. This independence appears only on the ensemble averaging because in any specific realization the transmission coefficients for s- and p-polarized light are different. The theoretical explanation of the discovered effect is presented.