The frontlight illumination system is intended for enhancing illumination of a reflective display having pixels arranged in a matrix pattern and using monochromatic laser lights as light sources. The unit contains a network of light-distributing planar ridge waveguides with holograms arranged in a matrix pattern that corresponds to the matrix pattern of the reflective display. The light-distributing holograms of the system are formed on opposite sides of each core of respective light-distributing planar ridge waveguides. Neighboring holograms located on opposite sides of the core are combined into pairs and are arranged on each core in positions at which they interact with a predetermined phase shift that doubles the intensity of light directed to the reflective display and extinguishes light directed to the external surface.