  We study the periodic potential of one-dimensional optical lattice originated
from scalar shift and vector shift by manipulating the lattice polarizations.
The ac Stark shift of optical lattice is measured by Kapitza-Dirac scattering
of $^{87}$Rb Bose-Einstein condensate and the characteristics of spin-dependent
optical lattice are presented by scanning the lattice wavelength between the D1
and D2 lines. At the same time, tune-out wavelengths that ac Stark shift
cancels can be probed by optical lattice. We give the tune-out wavelengths in
more general cases of balancing the contributions of both the scalar and vector
shift. Our results provide a clear interpretation for spin-dependent optical
lattice and tune-out wavelengths, and help to design it by choosing the
appropriate lattice wavelength.
