Magnetic polaritons in Fibonacci quasicrystals

A macroscopic theory is employed to investigate the magnetic polariton spectra in pure and generalized Fibonacci magnetic quasicrystals. The polariton spectra are evaluated in the geometry where the wave vector and the applied field are in the same plane (Voigt geometry). They are calculated for both ferromagnetic and antiferromagnetic orders by using a transfer-matrix approach. Numerical results for the ferromagnets EuS and for the antiferromagnet MnF2 are presented to discuss the fractal aspect of the spectra, including the localization of the modes as well as their scaling properties.