Surface exciton polaritons in ternary mixed crystals(TMCs) are investigated by using Maxwell′sequation group in the Born-Huang approximation.The numerical results for some typical systems show that there are two branches of surface exciton polariton modes in TMCs as well as in binary crystals.The dispersion characteristics of surface exciton polaritons in TMCs depend strongly on the TMC composition.The variations of the mode frequencies and splitting energies of two branches of surface polariton...