The polarization of 9 MeV protons, elastically scattered from C and Al, has been measured using a double scattering technique. The polarization was obtained from the left-right scattering asymmetry from helium as recorded in photographic emulsions. Angular distributions from the polarization and elastic scattering cross section are compared with predictions of optical model calculations. The general features of the scattering from aluminium are described by the optical model calculation, while the scattering from carbon appears to have strong contributions from sources other than the shape-elastic scattering.