  Based on the multi-level model, we have calculated light shifts for Zeeman
states of hyperfine levels of cesium (Cs) 6S1/2 ground state and 6P3/2 excited
state.The magic-wavelength linearly-polarized optical dipole trap (ODT) for Cs
6S1/2 F=4, mF=+4 - 6P3/2 F'=5, mF=+5 transition is experimentally constructed
and characterized by using the laser-induced fluorescence spectra of trapped
single Cs atoms. The magic wavelength is 937.7 nm which produces almost the
same light shift for 6S1/2 F=4, mF=+4 ground state and 6P3/2 F'=5, mF=+5
excited state with linearly-polarized ODT laser beam. Compared to undisturbed
Cs 6S1/2 F=4, mF=+4 - 6P3/2 F'=5, mF=+5 transition frequency in free space, the
differential light shift is less than 0.7 MHz in a linearly-polarized 937.7 nm
ODT, which is less than 1.2% of the trap depth. We also discussed influence of
the trap depth and the bias magnetic field on the measurement results.
