A phase modulator for polarized light, comprising a first substrate with a first surface and a second substrate with a second surface, a liquid crystal layer between the two substrates and an electrode arrangement. The phase modulator is usable as a variable deflection grating, and liquid crystal materials which are currently conventional are usable for its production. A phase modulator has an out-of-plane angle of the liquid crystal molecules next to the two surfaces whose magnitude is greater than 0 but less than or equal to 45 degrees, and an electrode arrangement controllable such that an in-plane component of the liquid crystal molecule orientation is adjustable in an angle range of up to 180 degrees, and the rotation sense of the liquid crystal molecules next to the first surface is opposite to the rotation sense of the liquid crystal molecules next to the second surface.