Spatial light modulator device for the modulation of a wave field with complex information
12055890 ยท 2024-08-06
Assignee
Inventors
- Gerald Futterer (Metten Bayern, DE)
- Norbert Leister (Dresden, DE)
- Ralf Haussler (Dresden, DE)
- Grigory Lazarev (Berlin, DE)
Cpc classification
G03H2001/0224
PHYSICS
G02B27/126
PHYSICS
G03H2001/0858
PHYSICS
G02F1/133538
PHYSICS
G03H2210/10
PHYSICS
G03H1/2294
PHYSICS
G03H1/08
PHYSICS
International classification
G03H1/08
PHYSICS
Abstract
A three-dimensional light modulator, of which the pixels are combined to form modulation elements. Each modulation element can be coded with a preset discrete value such that three-dimensionally arranged object points can be holographically reconstructed. The light modulator is characterized in that assigned to the pixels of the modulator are beam splitters or beam combiners which, for each modulation element, combine the light wave parts modulated by the pixels by means of refraction or diffraction on the output side to form a common light beam which exits the modulation element in a set propagation direction.
Claims
1. A complex spatial light modulator comprising: a polarization phase modulator which modifies incident light and separates the incident light into a first beam having a first polarization and a first phase, and a second beam having a second polarization and a second phase, and which outputs the first beam and the second beam; and a beam synthesizer comprising a prism structure formed of an optical anisotropic material, the optical anisotropic material having a first refractive index with respect to the first beam having the first polarization and a second refractive index, different from the first refractive index, with respect to the second beam having the second polarization, where the beam synthesizer combines the first beam and the second beam and outputs a beam.
2. The complex spatial light modulator according to claim 1, further comprising a first polarizer, disposed on an optical path before the polarization phase modulator, which transforms a polarization of a beam incident thereon into a beam having the first polarization.
3. The complex spatial light modulator according to claim 1, wherein the polarization phase modulator comprises: a phase-type spatial light modulator comprising a first pixel that modulates a phase of a portion of the incident light and outputs a beam having the first phase and a second pixel that modulates a phase of a portion of the incident light and outputs a beam having the second phase.
4. The complex spatial light modulator according to claim 1, wherein the beam synthesizer comprises: a first prism array comprising at least one prism element that has a light-incident surface which is normal to an optical axis of the incident light, and a first inclined surface which is inclined with respect to the light-incident surface; and a second prism array that is spaced apart from the first prism array, and that comprises at least one prism element having a light-exit surface which is parallel with the light-incident surface, and a second inclined surface facing away from the first inclined surface and which is inclined with respect to the light-incident surface.
5. The complex spatial light modulator according to claim 4, wherein the first prism array is formed of an isotropic material and the second prism array is formed of an optical anisotropic material having a first refractive index, with respect to the first beam having the first polarization, that is substantially the same as a refractive index of the surrounding material, and having a second refractive index, with respect to the second beam having the second polarization, that is chosen to be different to the first refractive index.
6. The complex spatial light modulator according to claim 4, wherein an angle by which the first inclined surface and the second inclined surface are inclined with respect to the light-incident surface is such that an optical path of the first beam is changed due to refraction at the first inclined surface and refraction at the second inclined surface, and thus the optical path of the first beam is modified, by the beam synthesizer, to be the same as an optical path of the second beam which passes through the first inclined surface and the second inclined surface without refraction.
7. The complex spatial light modulator according to claim 1, wherein the beam synthesizer comprises: a first prism array comprising at least one prism element that has a light-incident surface which is normal to an optical axis of the incident light, and a first inclined surface which is inclined with respect to the light-incident surface; a second prism array that is spaced apart from the first prism array, wherein the second prism array comprises at least one prism element having a second inclined surface facing away from the first inclined surface and which is inclined with respect to the light-incident surface, and a light-exit surface which is parallel to the light-incident surface; and a structure which fills a region between the first prism array and the second prism array.
8. The complex spatial light modulator according to claim 7, wherein the structure is formed of an isotropic material, and where the first prism array is formed of an isotropic material and the second prism array is formed of an optical anisotropic material with a first refractive index, with respect to the first beam having the first polarization, and with a second refractive index, with respect to the second beam having the second polarization, that is different from the first refractive index.
9. The complex spatial light modulator according to claim 8, wherein the beam combiner comprises deflection layers, where a first light deflection layer changes the path of the first modulation light into a direction of the path of the second modulation light, where a second deflection layer changes the path of the first modulation light so that the first modulation light is outputted of the beam combiner parallel to the second modulation light.
10. The complex spatial light modulator according to claim 9, wherein the an angle by which the first inclined surface and the second inclined surface are inclined with respect to the light-incident surface is such that an optical path of the first beam is changed due to refraction at the first inclined surface and refraction at the second inclined surface, and thus the optical path of the first beam is modified, by the beam synthesizer, to be the same as with an optical path of the second beam which passes through the first inclined surface and the second inclined surface without refraction.
11. The complex spatial light modulator according to claim 1, wherein the beam synthesizer comprises: a first prism that has a light-incident surface which is normal to an optical axis of the incident beam, and a first inclined surface which is inclined with respect to the light-incident surface; a second prism that has a second inclined surface which is inclined with respect to the light-incident surface, and a light-exit surface which is parallel to the light incident surface, which is spaced apart from the first prism along a direction of the optical axis, and which is offset from the first prism; and a structure which fills a region between the first prism and the second prism.
12. The complex spatial light modulator according to claim 11, wherein the structure is formed of an isotropic material; and the first prism is formed of an isotropic material and the second prism array is formed of an optical anisotropic material with a first refractive index, with respect to the first beam having the first polarization, and with a second refractive index, with respect to the second beam having the second polarization, that is different from the first refractive index.
13. The complex spatial light modulator according to claim 11, wherein an angle by which the first inclined surface and the second inclined surface are inclined with respect to the light-incident surface is such that an optical path of the first beam is changed due to refraction at the first inclined surface and refraction at the second inclined surface, and thus the optical path of the first beam is modified, by the beam synthesizer, to be the same as with an optical path of the second beam which passes through the first inclined surface and the second inclined surface without refraction.
14. A holographic three-dimensional image display device comprising, a light source unit; the complex spatial light modulator of claim 1; and a controller which controls the complex spatial light modulator, to modulate a light beam from the light source unit according to three-dimensional information.
15. The holographic three-dimensional image display device according to claim 14, wherein the light source unit outputs a beam that is polarized in the first polarization direction.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) Now, there are a number of possibilities for embodying and continuing the teachings of the present invention. To this end, reference is made on the one hand to the dependent claims that follow claim 1, and on the other hand to the description of the preferred embodiments of this invention below including the accompanying drawings. Generally preferred physical forms and continuations of the teaching will be explained in conjunction with the description of the preferred embodiments of the invention and the accompanying drawings. The Figures are schematic drawings, where
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DETAILED DESCRIPTION OF THE INVENTION
(16) Since all optical multiplexing means for each of the modulator cells of the modulation array have the same structure, only a single modulator cell of the modulation array will be shown in the drawings referred to below in order to keep the drawings simple and comprehensible.
(17) For the same reason, the optical multiplexing means will be described below with the example of a modulation array with regularly structured modulator cells, where each modulation element comprises two adjacent modulator cells of the modulation array. A typical example of such a spatial light modulator device is a spatial phase-modulating light modulator designed to implement the above-mentioned two-phase encoding method. Generally, the structure can also correspond to a modulation element which comprises more than two modulator cells.
(18) The following embodiments can also be adapted in a comparable way to amplitude modulation. In the latter case, a phase-shifting optical layer would additionally be required for at least one modulator cell per modulation element. If the bias encoding method is employed, a fix phase shift of ?/2 is required for one of the two modulator cells, and if the Burckhardt encoding method is employed, phase shifts of 2?/3 and 4?/3 are required for two of the three modulator cells.
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(20) According to a preferred embodiment of the present invention, the array of optical multiplexing means comprises an optical plate unit of stacked optical plates. The optical plates can for example comprise multiple transparent polymer layers with a presettable optical propertyin particular birefringence.
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(23) Referring to
(24)
(25) A polarising light wave splitter, as shown in
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(27) The distance d between the two parallel grating planes must be d=a/(2.Math.cos(?/2)), i.e. 0.57735 ?m per ?m modulator cell width, in order to achieve a complete superposition of the light wave portion TE of modulator cell 1 and light wave portion TM of modulator cell 2, both of which having the width a, downstream of the planar polarising beam splitter Vg2.
(28) Assuming 50 ?m wide modulator cells, a thickness d=28.87 ?m can be achieved with the 0?/60? geometry of the polarising beam splitters, while in comparison with that a Savart plate must have a minimum thickness of 385.8 ?m if ?n=0.2 is to be obtained.
(29) The pointing vectors of the polarised light wave portions TE and TM will be parallel downstream of the polarising beam splitter if they were parallel upstream of the polarising beam splitter. The parallelism of the exiting beams should therefore not be a problem here.
(30) However, wavelength fluctuations of the light are problematic. Given a modulator cell width of 30 ?m and, consequently, a thickness of the polarising beam splitter double plate of 17.32 ?m, a wavelength deviation of ??=1 nm will result in a relative phase difference between the two superposed modulator cells of about 2?/10. In order to solve this problem, it is possible to choose a polarising beam splitter geometry with lower diffraction angle.
(31) A possible polarising beam splitter deflection geometry (with polarising beam splitters Vg1, Vg2) is 0?/48.2?, as shown in
(32) Given a modulator cell width of a=50 ?m and a maximum permitted distance to a plane of EW prisms (not shown), as regards cross-talking among neighbouring modulator cells, of D.sub.max=5?a=250 ?m, it follows ?.sub.min=arctan(a/D.sub.max)=arctan(0.2)=11.31?. At ?n=0.2, the Savart plate achieves about 7.4?.
(33) Since the possible polarising grating beam splitter geometries are mathematically terms of a series, there are also usable angles in a range around 11?. The required refractive index variation is then very high though, i.e. usage of 11? as polarising beam splitter geometry is deemed rather unrealistic.
(34) However, a polarising beam splitter geometry of 0?/33.557? is not unlikely to be realised in practice, where there must still be a refractive index variation reserve for RGB multiplexing. At a stability of the wavelength of ??=1 nm, this geometry would correspond with a relative phase difference of the combined modulator cell beams of ??<2?/20.
(35) There are a number of possibilities to compensate the effect of a possibly drifting key wavelength.
(36) One possibility is to use the generated summed signal of the two combined modulator cells in order to compensate the phase shift simply and easily during operation. For this, the phase of one modulator cell can for example be shifted such that as a result a certain target intensity is achieved. This produces a value for a corrective phase to be introduced.
(37) Further, it is possible to introduce a set of phase shifts, i.e. at least three, in order to determine with the help of phase-shifting interferometry the relative phase of the combined modulator cell with an accuracy of <2?/512.
(38) In displays which only comprise few light sources, it presents itself to use two diodes per wavelength and light source which have spectrally different characteristics. If the characteristic lines are known, then the wavelength can be determined with an accuracy of <0.1 nm from the signals of the diodes. This principle is for example employed in the wavelength measuring device WaveMate? supplied by the company Coherent.
(39) When the key wavelength is known, the relative phase to be set in the combined modulator cells can be corrected directly if the key wavelength drifts. This should result in a remaining error of <2?/256 when setting the relative phase in the combined modulator cells.
(40) The above-mentioned approaches for online correction can be combined with each other in order to improve the measurement accuracy and thus to compensate the effect of a wavelength drift. Irrespective of that, a laser can also be stabilised to ??<0.1 nm.
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(43) Referring to
(44) The angular geometry does not have to be met with an accuracy of <0.05?. An error of 0.1? is uncritical. If D<a, angle errors of 0.3? are uncritical, i.e. even if a measurement is necessary to compensate the resultant effects. This is due to the fact that the portion of non-diffracted light is blocked in the plane of the apodisation filter APF if D<a.
(45) However, it is necessary or at least recommended to accept the sandwich part which comprises two volume gratings of like geometry as such. A lateral offset of the wave fronts which are to be superposed is unproblematic, because the fill factor of the apodisation filter APF is smaller than the fill factor of the phase-modulating SLM, i.e. FF.sub.APO<FF.sub.SLM. The dimension of the light-emitting area is thus constant, this area is sufficiently homogeneously illuminated and comprises only common superposed wave front portions, i.e. a lateral offset of as much as 5% would be unproblematic. In other words, a lateral offset of the light wave portions which leave the modulation element ME can be compensated with the help of a filter or shutter, e.g. an apodisation filter APF with a defined transmittance characteristic or an aperture mask with a defined mask geometry, which is arranged downstream of that modulation element ME. This can also be applied to the embodiments according to
(46) Refractive Beam Combination with Lenses or Prisms
(47) Now, another possibility of refractive beam combination will be described which is based on the use of lenses and/or prisms, or lenticulars and/or prism arrays.
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(49) Lens 102 focuses the light of each beam 106, 108 and converges the two beams 106, 108. The distance d is somewhat smaller than the focal length of lens 102, so that the focused beams 110, 112 are a small distance D apart in the plane of the prism array P. The two beams 110, 112 hit different sides of a prism 104. The prism angle is chosen such that the beams 114 substantially run in the same direction downstream of the prism. The drawing shows the double angle of divergence 20 and the double beam waist 2w.
(50) In this arrangement the two beams 106, 108 do not fully converge, but remain a narrow distance D apart. However, this distance is much smaller than the original distance, which equals the pixel pitch. Therefore, the difference in the optical path length of the light towards the edge of a diffraction order is much smaller, which greatly improves the reconstruction quality.
(51) Now, a numerical example will be provided under the simplifying assumption that the distance d between lenticular L and prism array P equals the focal length f, i.e. d=f. Further, the beams are assumed to be Gaussian beams. The pixel pitch is p=50 ?m. The distance of the beams is to be minimised from p=50 ?m to D=p/10=5 ?m. The beam waist is chosen such that D=2.Math.w.
(52) The following relations apply:
?*w=?/? (beam parameter product of a Gaussian beam=ratio of divergence and beam waist of a Gaussian beam)
a=2?*f
D=2w
(53) If with the help of this arrangement the distance p of the beams is reduced from 50 ?m to 5 ?m, then a focal length f=0.31 mm will result for a wavelength of 500 nm. The radius of the lenses would thus be about 0.15 mm at a lens pitch of 0.1 mm.
(54) Lenticulars L and prism arrays P are optical components which can be made and aligned in large sizes. They serve to substantially reduce the distance of the two beams 106, 108 and thus to improve the reconstruction quality.
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(56) The first prism array P1 is made of an isotropic material. In contrast, the second prism array P2 is made of a birefringent material. One direction of polarisation is transmitted as an ordinary beam 108, 112 without being deflected, while the perpendicular direction of polarisation is deflected as an extraordinary beam 106, 110. This is similar to the birefringent lenticulars which are used by the company Ocuity for switchable 2D/3D displays. The ordinary refractive index is chosen to be equal to the refractive index of the surrounding material. In contrast, the extraordinary refractive index is chosen to be different, so that the extraordinary beam is deflected.
(57) The lower beam 108 passes through the prism array P1 without being deflected, because it hits the planar interface. On entry into the spacer glass plate G it is denoted by 112; it is not deflected by the prism array P2 either, because it has the direction of polarisation of an ordinary beam. The upper beam 106 is deflected by both prism arrays, P1 and P2, because it is the extraordinary beam. Both beams 106, 108 are thus combined and leave the optical system in the form of a superposed light beam 114 in the same direction.
(58) Now, a numerical example will be given with a pixel pitch of p=50 ?m. The thickness of the glass plate is assumed to be d=500 ?m. In this arrangement, the upper beam 106 must be deflected in each prism array P1 by ?=5.7?. For small angles, the following relation applies:
?=(n.sub.1/n.sub.2?1)*?
where ? is the prism angle and n.sub.1 and n.sub.2 are the refractive indices of the prism P1 and of the surrounding material, i.e. the glass G. Typical values are n.sub.1=1.65 and n.sub.2=1.5, i.e. there is a refractive index difference of ?n=0.15. This results in a required prism angle of ?=57?.
(59) The company Ocuity has already produced birefringent lenticulars of a size of several inches for an application that is different from the one described here. A sandwich of commercially available prism array, spacer glass plate and birefringent prism array can thus me made in a large size in order to achieve beam combination.
(60) The light wave multiplexing means can thus comprise a lens means and a prism means (see
(61) The light wave multiplexing means according to
(62) The second prism means comprises a prism array P2 with birefringent prism elements. The light 106 which passes through the first modulator cell is polarised such that it can be deflected by a birefringent prism element of the second prism means. The light 108 which passes through the second modulator cell is polarised such that it is not deflected by the second prism means.
(63) The first prism means comprises a prism array P1 with prism elements. The prism elements are arranged such that only the light 106 which passes though the first modulator cell is assigned to a prism element, and that the light 108 which passes though the second modulator cell is not assigned to a prism element.
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(65) The two birefringent media SV1, SV2 in
(66) Referring to
(67) An aperture mask BA is arranged upstream of the first birefringent medium SV1, seen in the direction of light propagation, said aperture mask being designed such that the non-deflected portion of the light, which would propagate towards each modulator cell 1, is blocked out. In other words, the aperture mask BA comprises individual apertures which have substantially the same cross-sectional area as the modulator cells 1, 2. Now, the aperture mask is positioned such that every other modulator cell, i.e. all modulator cells 1 are covered so that no light falls on them. This is to prevent that non-deflected light passes through the modulator cells 1. The individual components are shown separately in
(68) In the arrangement shown in
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(70) The first deflection layer Vg1 is designed such that the light is split up into two partial beams. The one partial beam is substantially not deflected and it is linearly polarised, i.e. has for example a TE polarisation; it is indicated by dotted lines in the drawing. The other partial beam is deflected by a defined angle and it is also linearly polarised, but has for example a TM polarisation; it is indicated by broken lines in the drawing. The second deflection layer Vg2 is arranged parallel to the first deflection layer Vg1, and it is designed such that the light which has not been deflected is not deflected and the light which has been deflected by the defined angle is deflected by another angle. The absolute values of the two deflection angles are substantially identical, namely 60?. The direction of polarisation of the light which has not been deflected is turned by 90 degrees by the structured retardation plate, which is realised in the form of a ?/2 plate and which is arranged downstream of the second deflection layer Vg2. Consequently, the light which passes through the modulator cells 1, 2 has a substantially identical polarisation state.
(71) The modulator cells 1, 2 are designed such that they can modify the phase of the light which interacts with them. A further structured retardation plate in the form of a ?/2 plate is arranged between the modulator cells 1, 2 and the third deflection layer Vg3, said plate turning the direction of polarisation of the light which passes through the modulator cell 2 by 90 degrees. The light falls on the third deflection layer Vg3, which is designed such that the light which passes through the modulator cell 2 is substantially not deflected, and the light which passes through the modulator cell 1 is deflected by a defined angle. The fourth deflection layer Vg4 is arranged parallel to the third deflection layer Vg3, and it is designed such that the light which has not been deflected by the third deflection layer Vg3 is not deflected and the light which has been deflected by the third deflection layer Vg3 by the defined angle is deflected by another angle. The absolute values of the two further deflection angles are substantially identical. In this respect, the light beams which pass though the two modulator cells 1, 2 are thus combined and propagate substantially in the same direction. If the two modulator cells 1, 2 realise substantially the same phase value, the optical path lengths of the two partial beams are substantially identical.
(72) There are modulator cells 1, 2, or SLMs, which do not require a defined entry polarisation. In that case, it is possible to omit the structured retardation plate upstream of the modulator cell plane and to replace the second structured retardation plate, which is arranged immediately downstream of the modulator cell plane, by an unstructured retardation plate, i.e. an unstructured half-wavelength plate.
(73) For an RGB presentationi.e. when using light of different wavelengthsit is possible to expose three different volume gratings, each being adapted to an individual wavelength, in an interleaved manner in each of the deflection layers Vg1-Vg4. The arrangement shown in
(74) The light wave multiplexing means are typically arranged immediately downstream of the modulator cells of the modulation array, seen in the direction of light propagation, in the drawings. However, it is also possible to arranged the light wave multiplexing means shown in the drawings at a different position. For example, another optical component can be arranged between the modulation array and the light wave multiplexing means. A light wave multiplexing means as shown in the drawings and as claimed in the claims, can thus be arranged downstream of that further optical component, seen in the direction of light propagation. Such a further optical component can for example be an illumination unit as disclosed in documents DE 10 2009 028 984.4 or PCT/EP2010/058619. The light which is injected into this illumination unit can for example leave at right angles to its surface (which is arranged parallel to the modulation array) and propagate onto a reflection-type modulation array. Once the light which comes from the illumination unit has been modulated by the modulator cells of the modulation array and reflectedfor example by a reflective layer of the modulation array, the modulated light passes through the illumination unit substantially without being deflected and then falls on the light wave multiplexing means. In this case, the light wave multiplexing means is arranged on the side of the illumination unit which faces away from the modulation array. To enable the light which is modulated and reflected by the modulation array to pass through the illumination unit without any obstructions, a film is provided between the illumination unit and modulation array which turns the direction of polarisation for example by 45? whenever the light passes through it.
(75) Finally, it must be said that the embodiments described above shall solely be understood to illustrate the claimed teaching, but that the claimed teaching is not limited to these embodiments.
CITATIONS
(76) [1] Chulwoo Oh and Michael J. Escuti: Achromatic polarization gratings as highly efficient thin-film polarizing beamsplitters for broadband light, Proc. SPIE, vol. 6682, no. 628211, 2007 [2] Jihwan Kim et al.: Wide-angle nonmechanical beam steering using thin liquid crystal polarization gratings, Proc. SPIE, vol. 7093, no. 709302, 2008