A projection system is disclosed, in which a screen may have improved rejection of ambient light by having a high reflectivity at low angles of incidence for a polarization parallel to that of the projector, a low reflectivity at high angles of incidence for a polarization parallel to that of the projector, and a low reflectivity at both low and high angles of incidence for a polarization perpendicular to that of the projector. In some embodiments, for p-polarized light polarized parallel to the projector, the power reflectivity is high at low angles of incidence and decreases to a low value at high angles of incidence. In some embodiments, for p-polarized light polarized perpendicular to the projector, the power reflectivity is low at low angles of incidence. In some embodiments, for s-polarized light polarized perpendicular to the projector, the power reflectivity remains low at all angles of incidence. In some embodiments, the screen includes a thin film structure that has alternating quarter-wave layers of isotropic and birefringent materials, which are refractive-index-matched for light polarized perpendicular to the projector, which form a high reflector at normal incidence for light polarized parallel to the projector, and which exhibit Brewster's angle effects for p-polarized light polarized parallel to the projector at high angles of incidence. The Brewster's angle effect may be reached by use of a light-scattering layer that increases the effective incident refractive index.