Wave localization in generalized Thue-Morse superlattices with disorder

In order to study an influence of correlations on the localization properties of classical waves in random superlattices we introduce a generalized random Thue-Morse model as a four-state Markov process with two parameters that determine probabilities of different configurations. It is shown that correlations can bring about a considerable change in the transmission properties of the structures and in the localization characteristics of states at different frequencies.