A binocular device adapted to a wearer comprising: a first lens and a second lens, respectively designed to be placed in front of first and second eyes of the wearer, the first lens comprising at least a back face, a monocular display device designed and arranged to display a virtual picture towards the first eye of the wearer, the virtual picture being transmitted through the back face of the first lens defining a display area on the back face, wherein: the second lens comprises an adapted area and a corresponding area, the corresponding area is the area scanned by the second eye of the wearer when the first eye scans the virtual picture through the display area, and the adapted area is arranged so that the adapted area overlaps at least a part of the corresponding area, and the adapted area is configured to be obscured.