Birefringence causes unpolarized light to become polarized as it passes through a crystal like calcite due to the differing interactions of light's electric field with the crystal's atomic structure. When unpolarized light, which consists of waves oscillating in multiple directions, enters the birefringent material, its horizontal and vertical components interact differently with the crystal lattice. This differential interaction leads to two refracted rays, each polarized in perpendicular directions and traveling at different velocities. The crystal effectively filters the light, allowing only specific polarization directions to emerge. Thus, birefringence does not create polarization but rather separates and enhances the already present polarized components of unpolarized light.