the display device 1 shown diagrammatically in fig1 comprises an image display panel 2 and an illumination system ( or front light ) 8 . the image display panel 2 comprises a liquid crystalline material 5 between two substrates 3 , 4 , based on the twisted nematic ( tn ), the supertwisted nematic ( stn ) or the ferroelectric effect so as to modulate the direction of polarization of incident light . the image display panel comprises , for example , a matrix of pixels for which light - reflecting picture electrodes 6 are provided on the substrate 3 . the substrate 4 is light - transmissive and has one or more light - transmissive electrodes 7 of , for example , ito ( indium tin oxide ). the picture electrodes are provided with electric voltages via connection wires 6 ′, 7 ′ which are provided with drive voltages by means of a drive unit 9 . the substrates and electrodes are coated with orientation layers 15 in known manner . the illumination system 8 comprises an optical waveguide 18 which is made of an optically transparent material and has four end faces 10 . a light source 12 whose light is coupled into the optical waveguide 18 via one of the end faces , for example 10 , is situated opposite this end face . the light source 12 may be , for example , a rod - shaped fluorescence lamp . the light source may alternatively be constituted by one or more light - emitting diodes ( led ), notably in flat panel display devices having small image display panels such as , for example , portable telephones . moreover , the light source 12 may be detachable . the exit face 16 of the optical waveguide 8 faces the image display panel 2 . each end face 10 of the transparent plate in which light is not coupled in may be provided with a reflector . in this way , light which is not coupled out on the exit face 16 and consequently propagates through the optical waveguide and arrives at an end face is thus prevented from leaving the optical waveguide 18 via this end face 10 . to prevent light from leaving the optical waveguide 18 without contributing to the light output of the illumination system , light of the lamp 12 is preferably coupled into the optical waveguide 18 via coupling means 13 , for example , by means of a wedge - shaped optical waveguide which limits the angle of the entering beam with respect to the exit faces 16 , 19 to , for example , 15 degrees . moreover , the contrast is enhanced because there is no stray light . a light beam 20 from the lamp 12 is converted in a manner to be described below into circularly polarized light so that mainly light of one handedness is deflected towards the reflective image display panel 2 ( beams 21 ) and , dependent on the state of a pixel , reflected ( beam 22 ) with the same or the opposite handedness . after reflection on the pixel , the circularly polarized light of the opposite handedness is converted in a phase plate or retarder 24 into linearly polarized light and reaches a polarizer 25 with such a direction of the transmission axis in this embodiment that the reflected light is absorbed . similarly , circularly polarized light of the same handedness is passed by the polarizer 25 . stray light , which is reflected on internal surfaces ( for example , the surface 16 ), has a handedness which is opposed to that of the beam 22 and is also converted by the retarder 24 into linearly polarized light which is absorbed by the polarizer 25 ( beams 26 ). also parasitic light generated in the optical waveguide 18 due to internal reflection is absorbed by the polarizer 25 ( beam 27 ). fig2 is a cross - section of a first embodiment of an optical waveguide with which the above - mentioned effect can be achieved . on an exit face 19 , the optical waveguide 18 has a plurality of grooves 30 which are filled with a chiral nematic liquid crystalline mixture and are covered with a 20 - 50 μm thick plate 31 of , for example , acryl or glass . on the side facing the light source , the grooves 30 preferably extend at an angle of 45 degrees to the surface 19 so that light 21 coupled out by the grooves leaves the optical waveguide substantially perpendicularly to the surface 16 in the direction of the display device 2 . consequently , a very efficient illumination of the reflective display device 2 is achieved . since the grooves are filled with chiral nematic liquid crystalline material , levorotatory or dextrorotatory circularly polarized light is reflected ( beams 21 ), dependent on the material used and on the surface treatment . in this embodiment , levorotatory light is reflected in a spectral range determined by the pitch p of the chiral nematic liquid crystalline material and the refractive indices n e , n o ( n e : extraordinary refractive index and n o : ordinary refractive index ); light having a wavelength in the range between λ e = n e . p and λ o = n o . p is reflected . dextrorotatory polarized light 20 ′ remains within the optical waveguide 18 due to reflection on the surfaces 16 , 19 and due to a favorably chosen angle of incidence of the beam 20 , and , after internal reflections can again be reflected on a groove 30 . in the embodiment of fig3 the grooves 30 are provided with chiral nematic polymer networks . the pitch of the chiral nematic material in each groove 30 r , 30 g , 30 b is adapted in such a way that red ( beam 21 r ), blue ( beam 21 b ) and green ( beam 21 g ) light is reflected and leaves the optical waveguide substantially perpendicularly to the surface 16 in the direction of the display device 2 . the reference numerals again denote the same components as those in fig2 . in this way , different grooves couple different parts of the spectrum , with a very good adaptation being possible to the wavelength of the light source ( s ) 12 , notably when leds having a narrow emission spectrum are used for this purpose . when the choice of the liquid crystal material and the pitch limits the reflection band to a very narrow band ( at most equal to that of the spectrum emitted by the led ) the light to be reflected and the reflected light are minimally disturbed during use in reflection ( when the light source 12 is switched off ). the pitch of the chiral nematic material within a groove 30 may also vary to such an extent that a wide spectrum is reflected so that each groove 30 reflects beams 21 r , 21 g and 21 b ( fig4 ). the mutual parts ( display device , optical waveguide and retarder - polarizer combination ) are preferably mutually secured by means of a transparent adhesive having a low refractive index . the choice of a low refractive index also prevents the above - mentioned parasitic reflections . fig5 to 7 show the method of manufacturing an optical waveguide which does not have microgrooves but generates circularly polarized light which is deflected towards the reflective image display panel 2 . a thin layer 33 of a chiral nematic liquid crystal polymer material is provided on a basic substrate 32 of , for example , glass and is coated , if necessary , with an isotropic transparent protective coating 34 . the coating 34 is subsequently made locally isotropic , in this case by means of laser beams 35 which are incident at an angle of 45 degrees . the chiral nematic liquid crystal polymer material remains anisotropic in the areas which are not irradiated . by suitable choice of the ratio between isotropic and anisotropic areas , an optical waveguide 18 is obtained with areas 30 which convert an incident light beam into light beams 21 leaving the optical waveguide in the direction of the display device 2 . in the method shown in fig8 - 9 , the substrate is coated with a mixture of chiral nematic monomers , which mixture is subsequently exposed via the mask 36 ( by means of , for example uv radiation 37 again incident at an angle of 45 degrees ) up to a temperature below the isotropic transition temperature . the chiral nematic ordering is thereby locally frozen ( areas 30 ) subsequently , the assembly is heated to a temperature above the isotropic transition temperature ( by means of , for example thermal radiation ) so that the unexposed parts 39 become isotropic and are fixed to a polymer network by means of local illumination 38 ( flood exposure ). finally , the method shown in fig1 makes use of “ photo - isomerizable ” chiral nematic polymers , a layer of which is provided again between a basic substrate and a coating . the material is chosen to be such ( pitch , refractive indices ) that it reflects the desired wavelength . by local uv illumination via the mask 36 , the value of the reflected wavelength shifts to higher values , for example , to infrared . the unexposed parts 30 continue reflecting the desired wavelength , while the other reflection is not visible to the human eye . the protective scope of the invention is not limited to the embodiments described . it has already been noted that elliptically polarized light may be used alternatively , although this is at the expense of the suppression of stray light . also , other electro - optical effects may be used , for example , electrochromic effects . as mentioned in the opening paragraph a display comprising deformable mirrors may be used as well . circularly polarized light may also be obtained in the optical waveguide by providing a ( pattern of ) ¼λ plate ( s ), combined with ( a ) linear reflector and / or mirror ( s ). the invention resides in each and every novel characteristic feature and each and every combination of characteristic features . reference numerals in the claims do not limit their protective scope . use of the verb “ comprise ” and its conjugations does not exclude the presence of elements other than those mentioned in the claims . use of the article “ a ” or “ an ” preceding an element does not exclude the presence of a plurality of such elements .