Disclosed is a liquid-crystal display with coherent illumination. The display has a multilayered matrix structure comprising a matrix of micromirrors, lightguide panel with a matrix of holographic elements, a liquid-crystal matrix containing a plurality of liquid-crystal cells and a polarization analyzer. The micromirrors perform reciprocating linear or tilting movements. Therefore, in each current moment, the speckle pattern of the image shifts relative to the preceding pattern so that in each current moment the viewer sees an image in different micropositions, which are perceptible by the human eye as a quasistationary pattern. As a result, the speckle pattern seen by the viewer is smoothened.