The polariton modes in three-tile quasiperiodic superlattices are inve
stigated and evaluated numerically with a transfer matrix method. The
results show that the distribution of the polariton modes depends obvi
ously on the structure of the quasiperiodic superlattice. Specially, t
he number of the bulk modes and the number of the surface modes are re
lated to the number of layers and the number of interfaces contained w
ithin the quasiperiodic superlattice.