Magic Wavelength for Caesium Transition Line 6S_1/2-6P_3/2

We investigate the magic wavelengths of the trapping laser for 6S_1/2-6P_3/2 of the Cs atom in a region where the optical shift between two different states can be eliminated. For fine levels and linear polarized laser they are 930.4nm and 937.2nm. The magic wavelengths range from 927.7nm to 945.0nm for circle-polarized perturbing laser. Effects of nuclear spin, the hyper-fine Zeeman levels, and the polarization of the light, which generate different magic wavelengths, are further discussed.