The relation between the excitonic purity and the concurrence in a system of two coupled large semiconduction quantum dots mediated by a single-mode cavity field is investigated by using linear entropy theory.The results show the difference in describing two modes of excitonic entanglement between linear entropy and concurrence.The relation between nonclassical property of cavity field and the entanglement degree of exeitous is also discussed.The results show that two modes of exciton can reach maximal entanglement when the cavity exhibits an antibunching effect.