Abstract: A method is provided for extending the field of view of a head-up display includes a combiner (31) through which a scene may be viewed by an observer (10), and a display unit (14) having a display surface 13 from which light is directed by a collimating lens (17) on to the combiner. The method involves using combiner which comprises a thick phase holographic optical element extending between the limits of the total field of view in the elevation direction and having a fringe pattern formed therein. The pattern is in the form of parallel fringes 32 and the combiner is disposed so that the fringes extend perpendicular to the elevation direction and are aligned perpendicular to the plane bisecting the angle of intersection of the light-line (11) and the optical axis (16) of the collimating lens (17).