The bulk and surface modes of the polaritons in three-tile quasiperiodic semiconductor superlattices are investigated and evaluated numerically with a transfer matrix method. It is shown that the distribution of the polariton modes depends obviously on the structure of the quasiperiodic superlattice. Especially, the number of the bulk modes and the number of the surface modes are related to the number of layers and the number of interfaces contained within the quasiperiodic superlattice, respectively. Some modes of surface polaritons become resolved from the bulk modes with adjusting the constructure of quasiperiodic superlattices.
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