The high-density Frenkel excitons, which interact with a single-mode cavity
field, are investigated in the framework of the q-deformed boson. It is sh
own that the q-deformed bosonic commutation relations are satisfied natural
ly by the exciton operators in the high-density limit. An analytical expres
sion of the physical spectra of the excitons is obtained by using the dress
ed states of the cavity field and the excitons. We also give the numerical
study and compare the theoretical results with the experimental results.