An illumination device comprises a housing (5) with a plurality of compartments (3), each compartment comprising a respective light emission window (15), a light source (11), and a stack of crossed prismatic sheets (10). Light issued by the light source during operation is made to propagate through the prismatic sheets and subsequently through the light emission window. The orientation of the stack of sheets is different for each compartment, thus causing each compartment to issue a different beam of light. The light source of each compartment is separately switchable, thus enabling easy setting of the type of beam issued form the illumination device. Optionally a diffuser (17, 23) is provided at one side or at both sides of the stack of prismatic sheets to enhance the homogeneity of the issued light.