LOCALIZATION OF ELECTROMAGNETIC WAVES IN A TWO-DIMENSIONAL DISCRETE MEDIA: A COMPARISON OF ANALYTICAL AND NUMERICAL METHODS FOR DETERMINING THE LOCALIZATION LENGTH
Wave propagation through random medium was and continues to be the subject of extensive research. Propagating through a medium consisting of a system of lenses, the waves will often be scattered to form a multiple scattering process. Under certain conditions, multiple scattering leads to localization of electromagnetic waves. The work is characterized by two levels of localization, identified two main criteria onset localization of electromagnetic waves, such as Ioffer-Regel criterion and exponentially decreasing character of the coefficient of wave propagation through non-absorbing medium. One of the main parameters of the onset of localization is a localization length. The localization length in two-dimensional discrete media can be determined by rigorous numerical simulation and analysis of the theory. There is a significant difference in the results. In the analytic description of the processes of localization condition is detected in a much smaller frequency range.