Experiments confirm that the femtosecond laser induced periodic nanogratings in a transparent material represents the novel optical properties. The scattering characteristics of nanogratings and nano-grating array are studied in detail by experiments and finite-difference time-domain (FDTD) respectively. Analysis result shows that scattering characteristics of nanogratings are sensitive to the polarization of the incident laser. For arrays of nanogratings, the scattering intensity in the laser polarization perpendicular to the nanograting is 20000 times larger than that in the laser polarization parallel to the nanograting. Morerover, the scattering intensity is dependent on the incident laser wavelength. The longer the wavelength is, the weaker the scattering intensity will be. The simulation results demonstrate that type II waveguide and the light polarized guide mechanism of nanograting are based on scattering characteristics of nanograting instead of birefringence effect theoretically.