Transmission fingerprints in quasiperiodic magnetic structures

In this paper we study the spin wave transmission spectra of quasiperiodic magnetic multilayers following Fibonacci, double period and Thue–Morse sequences. We consider multilayers that are composed of two simple cubic ferromagnetic materials surrounded by two semi-infinite slabs of a third ferromagnetic material. A transfer matrix treatment is employed with the calculations carried out for the exchange-dominated regime within the framework of the Heisenberg model and taking into account the random phase approximation. The numerical results illustrate the self-similar aspects of the spectra as well as their magnetic transmission fingerprints, which can be used to identify the sequence applied to construct the system.