Optical structure for a lighting device for a motor vehicle headlight
10378718 ยท 2019-08-13
Assignee
Inventors
Cpc classification
F21S41/275
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F21W2102/16
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F21S41/43
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
Abstract
The invention relates to an optical structure (100) for a lighting device (1) of a motor vehicle headlight, which lighting device (1) is designed to radiate light, the light radiated from the lighting device (1) forming a predefined light distribution (LV1), wherein the optical structure (100) is associated with the lighting device (1) in such a way or is part of the lighting device (1) in such a way that substantially the entire flow of light from the lighting device (1) passes through the optical structure (100), and wherein the unmodified light distribution (LV1) produced by the lighting device (1) is modified by the optical structure (100) into a predefinable, modified light distribution (LV2), wherein the modified light distribution (LV2) is formed by convolution of the unmodified light distribution (LV1) with a scattering function (PSF), and wherein the optical structure (100) is designed in such a way that the unmodified light distribution (LV1) is modified according to the scattering function.
Claims
1. An optical structure (100) for a lighting device (1) of a motor vehicle headlight, wherein light radiated from the lighting device (1) forms a predefined light distribution (LV1), the optical structure comprising: at least one optics element (5, 6); and a plurality of optical structural elements (110) which are distributed over at least one defined area (111) of the at least one optics element and which are configured to provide a light-scattering effect, wherein the at least one defined area (111) is divided into a virtual, hexagonal grid structure (200) and the plurality of optical structural elements are arranged at grid points (201), or between the grid points (201), of the virtual, hexagonal grid structure (200), wherein the predefined light distribution (LV1) comprises a segmented light distribution formed from individual light distributions (LS1), wherein the individual light distributions (LS1) are arranged inn rows and m columns, wherein n>1, m1 or n1, m>1, wherein the optical structure (100) of the lighting device (1) is associated with the lighting device (1) or is part of the lighting device (1) such that substantially all light from the lighting device (1) passes through the optical structure (100), and the unmodified light distribution produced by the lighting device (1) is modified by the optical structure (100) into a predefinable, modified light distribution (LV2), wherein the predefinable, modified light distribution (LV2) is formed by convolution of the unmodified light distribution with a scattering function (PSF), wherein adjacent optical structural elements (110) of the plurality of optical structural elements (i) are arranged in contact with one another, or (ii) are isolated from one another and do not contact one another, wherein the optical structural elements (110) are configured to provide that at least some of the light of the lighting device (1) is deflected into boundary regions, in each of which two individual light distributions are arranged adjacently to one another, and wherein the plurality of optical structural elements is arranged on at least one boundary surface of the at least one optics element, and the at least one optics element is a diffusing plate or covering plate (6) of the lighting device (1).
2. The optical structure of claim 1, wherein the plurality of optical structural elements (110) is formed such that each optical structural element (110) modifies a light bundle (LB1) passing through the optical structural element (110) into a modified light bundle (LB2) according to a scattering function.
3. The optical structure of claim 1, wherein the optical structure is arranged on at least one surface of the at least one optics element in the form of a projection lens of the lighting device (1).
4. The optical structure of claim 3, wherein the optical structure is arranged on a light exit side (5a) of the projection lens (5).
5. The optical structure of claim 1, wherein the plurality of optical structural elements (110) is distributed over all of the at least one boundary surface (5a, 6a) of the at least one optics element (5, 6).
6. The optical structure of claim 1, wherein all of the plurality of optical structural elements (110) are substantially identical.
7. The optical structure of claim 6, wherein all of the plurality of optical structural elements (110) are identical relative to a planar surface (111) or a surface (111) intended to be planar.
8. The optical structure of claim 1, wherein all of the plurality of optical structural elements (110) are identically oriented.
9. The optical structure of claim 1, wherein the scattering function (PSF) is a point-spread function.
10. The optical structure of claim 1, wherein a diameter, a height, and/or another dimension of one or more of the plurality of optical structural elements is/are greater than a wavelength of visible light.
11. The optical structure of claim 10, wherein the height (h) of the plurality of optical structural elements (110) lies in the m range.
12. The optical structure of claim 11, wherein the height (h) of the plurality of optical structural elements (110) lies in the range of 0.5 m to 5 m.
13. The optical structure of claim 12, wherein the height (h) of the plurality of optical structural elements (110) lies in the range of 1 m to 3 m.
14. The optical structure of claim 13, wherein the height (h) of the plurality of optical structural elements (110) is approximately 2.7 m.
15. The optical structure of claim 10, wherein the diameter (d) or a length of the plurality of optical structural elements (110) lies in the millimeter range.
16. The optical structure of claim 15, wherein the diameter (d) or the length of the plurality of optical structural elements (110) lies between 0.5 mm and 2 mm.
17. The optical structure of claim 16, wherein the diameter (d) or the length of the plurality of optical structural elements (110) is approximately 1 mm.
18. The optical structure of claim 1, wherein each of the plurality of optical structural elements (110) has a circular cross section at its base.
19. The optical structure of claim 1, wherein precisely one of the plurality of optical structural elements (110) is arranged at each grid point (201) or between the grid points (201) of the virtual, hexagonal grid structure (200).
20. The optical structure of claim 1, wherein adjacent grid points (201) are arranged at a distance from one another that is in a range from 0.5 mm to 2 mm.
21. The optical structure of claim 1, wherein the optical structural elements of the plurality of optical structural elements (110) are distributed randomly over the defined area (111).
22. The optical structure of claim 1, wherein the plurality of optical structural elements (110) transition to the defined area (111) in a continuous manner.
23. The optical structure of claim 1, wherein the lighting device (1) is configured to map light radiated therefrom as a dipped beam distribution, wherein the dipped beam distribution has a light-dark boundary (HD1), wherein a gradient of the light-dark boundary (HD1) of the unmodified light distribution of the lighting device (1) is reduced.
24. The optical structure of claim 1, wherein the lighting device is configured to map light radiated therefrom as a dipped beam distribution, wherein the dipped beam distribution has a light-dark boundary (HD1), wherein a portion of the light of the lighting device (1) is mapped into a region (LV2) above the light/dark boundary (HD1, HD2).
25. The optical structure of claim 24, wherein deflected light lies in the region (LV2) between 1.5 and 4 above the HD line.
26. The optical structure of claim 24, wherein approximately 1% of the light of the lighting device (1) is deflected by the optical structural elements into the region (LV2) above the light-dark boundary (HD1, HD2).
27. The optical structure of claim 1, wherein adjacent individual light distributions (LS1) of the unmodified light distribution are arranged at a defined distance or defined distances (d1, d2) from one another.
28. The optical structure of claim 1, wherein the individual light distributions (LS1) of the unmodified light distribution have a rectangular or square shape with a projection onto a vertical plane.
29. The optical structure of claim 27, wherein all distances (d1) between the adjacent individual light distributions (LS1) are identical in a horizontal direction.
30. The optical structure of claim 27, wherein all distances (d2) between the adjacent individual light distributions (LS1) are identical in a vertical direction.
31. The optical structure of claim 27, wherein the individual light distributions (LS1) have a width and/or a height of approximately 1.
32. The optical structure of claim 27, wherein the defined distance (d1, d2) between two adjacent individual light distributions (LS1) is less than 0.5 and greater than 0.
33. The optical structure of claim 32, wherein the defined distance (d1, d2) between two adjacent individual light distributions (LS1) is less than 0.2.
34. The optical structure of claim 32, wherein the defined distance (d1, d2) between two adjacent individual light distributions (LS1) lies between 0.05 and 0.15.
35. The optical structure of claim 32, wherein the defined distance between two adjacent individual light distributions (LS1) is less than or equal to 0.1.
36. The optical structure of claim 1, wherein an average light intensity in a gap between two individual light distributions (LS1) produced with light intended for an individual light distribution corresponds to half an average light intensity in an adjacent individual light distribution (LS1) of the modified light distribution.
37. The optical structure of claim 1, wherein part of the light produced by one individual light distribution (LS1) is deflected by the optical structure into gap regions framing the individual light distribution (LS1), which gap regions are formed by the distance between the individual light distributions (LS1) from one another.
38. The optical structure of claim 37, wherein, proceeding from a considered individual light distribution (LS1), a light intensity in an adjacent gap region decreases in a direction of an adjacent individual light distribution (LS1), wherein the decrease is linear.
39. The optical structure of claim 38, wherein the light intensity decreases to zero.
40. The optical structure of claim 37, wherein the light intensity in a gap region directly adjacent to an edge of the considered individual light distribution (LS1) corresponds substantially to a light intensity of the individual light distribution (LS1) of the modified light distribution at an edge thereof or to an average light intensity in the individual light distribution (LS1) of the modified light distribution.
41. The optical structure of claim 1, which is configured such that substantially all of the light of the lighting device (1) impinges on the optical structure (100).
42. The optical structure of claim 1, which is configured such that the optical structure is lit up substantially homogeneously.
43. A lighting device comprising at least one optical structure (100) according to claim 1.
44. The lighting device of claim 43, wherein the lighting device (1) is a projection system.
45. The lighting device of claim 44, wherein the lighting device (1) comprises at least one light source (3), at least one reflector (2), and at least one lens (5) comprising a projection lens.
46. The lighting device of claim 45, wherein the at least one optical structure (100) is arranged on the lens (5) and/or an additional covering plate or diffusing plate.
47. The lighting device of claim 43, wherein the lighting device (1) is a reflection system.
48. The lighting device of claim 47, further comprising at least one free-form reflector (2), at least one light source (3), at least one diffusing plate (6), and/or at least one covering plate (6).
49. The lighting device of claim 48, wherein the at least one optical structure (100) is arranged on the at least one diffusing plate (6), the at least one covering plate (6), and/or an additional covering or diffusing plate.
50. A vehicle headlight comprising at least one lighting device of claim 43.
51. A method for producing the optical structure of claim 1, wherein the modified light distribution (LV2) is modified by convolution of the unmodified light distribution with the scattering function (PSF), and wherein the unmodified light distribution (LV1) is modified according to the scattering function.
52. The method of claim 51, wherein each of the plurality optical structural elements (110) modifies a light bundle (LB1) passing through each of the plurality if optical structural elements (110) into a modified light bundle (LB2) according to the scattering function (PSF).
53. The method of claim 51, wherein the scattering function (PSF) is a point-spread function.
54. The method of claim 51, wherein the lighting device (1) is configured to map light radiated therefrom in the form of a dipped beam distribution, wherein the dipped beam distribution has a light-dark boundary (HD1), wherein the plurality of optical structural elements (110) or the scattering function is configured such that a gradient of a light-dark boundary (HD1) of the unmodified light distribution of the lighting device (1) is reduced.
55. The method of claim 51, wherein the lighting device is configured to map light radiated therefrom in the form of a dipped beam distribution, wherein the dipped beam distribution has a light-dark boundary (HD1), wherein a portion of the light of the lighting device (1) is mapped into a region (LV2) above the light/dark boundary (HD1, HD2).
56. A method for producing the optical structure of claim 1, wherein the lighting device (1) is configured to map light radiated therefrom in the form of the individual light distributions (LS1) mapped in n rows and m columns, wherein n>1, m1 or n1, m>1, wherein the individual light distributions (LS1) together form a full beam light distribution, and wherein the plurality of optical structural elements (110) or the scattering function is configured such that at least some of the light of the lighting device (1) is deflected into the boundary regions, in each of which two individual light distributions are arranged adjacently to one another.
Description
(1) The invention is discussed hereinafter in greater detail on the basis of the drawing, in which:
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(33) Hereinafter, reference will be made first to
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(40) As already mentioned, these illustrations serve merely to explain some of the possibilities of the arrangement of an optical structure 100 according to the invention. In principle, a lighting device may also have a plurality of light sources, for example may have LEDs as light sources, and the light-shaping body may be provided in the form of one or more light guides, reflectors, etc.
(41) It is generally true that the optical structure 100 of the lighting device 1 is associated with or is part of the lighting device 1 in such a way that substantially the entire (or the entire optically relevant) flow of light from the lighting device 1 passes through the optical structure 100.
(42) It is advantageous in particular when the optical structure is arranged and/or formed in such a way that it is lit up homogeneously. In this case, for the calculation of the optical structure, the extent to which different fractions of the overall area should be refractive can be easily derived from the scattering function.
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(45) Under consideration now of
(46) The modified light distribution LV2 here has substantially the same distribution form as the unmodified light distribution LV1 and also has a light-dark boundary HD2, which has a shallower gradient however, as indicated schematically by the greater distance between the Isolux lines in the region of the light-dark boundary. The light-dark boundary HD2 is thus softer.
(47) It can also be seen in
(48) A lighting device thus generateswithout optical structure according to the inventiona dipped beam distribution LV1 having a light-dark boundary HD1 with a certain sharpness, described by what is known as the gradient. By providing an optical structure 100 according to the invention, thisunmodifiedlight distribution LV1 is modified in such a way that the sharpness of the light-dark boundary is reduced, and therefore it satisfies the legal requirements and is perceived as comfortable by the human eye.
(49) In addition, in the described embodiment, a proportion of the flow of light from the lighting device 1 is mapped into a region LV2 above the light-dark boundary HD2. In this way, a signlight described in the introduction can be produced in an optimal manner using the optical structure 100 according to the invention in that, by way of example, each optical structural element deflects a small proportion of the flow of light passing through the structural element into a corresponding region.
(50) It is advantageous in particular that, with an optical structure according to the invention, both the gradient of the light-dark boundary can be adjusted and a signlight can be produced. Two optical structures are necessary for this purpose in the prior art, wherein a first structure for producing one of the two optical effects is superimposed by a second structure, which produces the second optical effect. With the optical structure according to the invention, this is achieved by a structure consisting of substantially identical structural elements, which are designed to provide a scattering function as described above.
(51) In a specific embodiment, as shown, the flow of light deflected by the optical structure lies here in a region LV2 between 1.5 and 4, in particular between 2 and 4, above the HD line.
(52) In accordance with an exemplary embodiment of the invention 0.5%-1% of the flow of light from the lighting device 1 is deflected by the optical structure in a region LV2 above the light-dark boundary HD2.
(53) Under consideration of
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(55) In accordance with the invention the entire optical structure 100 is thus considered, and this is modified or modelled accordingly via a scattering function in such a way that the entire desired light pattern LV2, LV2 is produced. In contrast with the prior art, where, by way of example, in order to generate the gradient softening and signlight, different structural elements on an optical structure are used or some of the existing structural elements are additionally also modified, in accordance with the present invention the desired (modified) light distribution, starting from an unmodified light distribution produced with the lighting device without optical structure, is provided in that the unmodified light distribution is convoluted with such a scattering function, the desired light distribution is provided, and the optical structure in its entirety is then modelled in such a way that it modifies the entire flow of light of the lighting device in such a way that a modified light distribution corresponding to the scattering function is produced from the unmodified light distribution.
(56) In a preferred embodiment of the invention the optical structure 100 consists of a multiplicity of optical structural elements 110, which structural elements 110 have a light-scattering effect.
(57) Under consideration firstly of
(58) The curved outer side 5a of the lens 5 is illustrated in an enlarged manner in
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(60) With an optical structure 100 of this type comprising structural elements 110, a modified light distribution LV2 is produced, which forms a dipped beam distribution with light-dark boundary HD2 and signlight LV2 (
(61) The structural elements of the optical structure may be arranged in principle on the outer side and the inner side of the lens (or of a diffusing plate, etc.).
(62) However, the structural elements 110 are preferably distributed over precisely one defined area 5a of an optics element, for example the outer side 5a of the lens 5 as illustrated. It is advantageous here when the structural elements 110 are distributed over the entire defined area 5a.
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(64) It is of particular advantage when the optical structural elements 110 are formed in such a way that each structural element 110 modifies the light bundle LB1 passing through the respective structural element 110 into a modified light bundle LB2 according to the scattering function PSF.
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(66) Under consideration of a certain (unmodified) light bundle LB1 from the entire flow of light, this thus makes a certain contribution to the light distribution in the light pattern (the entire flow of light produces the (overall) light distribution). A structural element now modifies a light bundle LB1 passing through the structural element in such a way that the unmodified contribution to the overall light distribution is altered according to the scattering function. By way of example, the unmodified light bundle produces a light distribution contribution having a certain form, i.e. certain regions on the roadway or on a measuring screen are lit, other region are unlit. Due to the structural element 110, regions outside the originally lit region are now also lit with a certain intensity according to the scattering function PSF, whereassince the overall flow of light remains constantthe intensity is reduced at least in parts of the region originally lit with the unmodified light bundle.
(67) As mentioned in conjunction with
(68) It is also particularly advantageous when all structural elements 110 are substantially identical. Each structural element then modifies the flow of light passing therethrough in a manner identical to all other structural elements.
(69) Here, substantially identical means that in the case of a planar surface, on which the structural elements are arranged, these are actually identical.
(70) In the case of curved surfaces, such as a light exit surface 5a of a lens 5, the structural elements are each formed identically in their central region, whereas the edge regions of different structural elements may differ (slightly) from one another by the curvature of the surface.
(71) In a specific embodiment all structural elements 110 are accordingly identical in respect of a planar surface or a surface 111 intended to be planar.
(72) The structural elements are calculated accordingly for a planar surface; if these identical structural elements thus calculated are placedwith identical orientationon a curved surface, for example of a lens, the structural elements are thus still mapped identically in their central region, as already mentioned above; in the regions of transition to the original lens surface, on which the structural elements are placed, the structural elements have a different shape however depending on the position on the lens surface on account of the curvature of the lens surface, which with the small size of the structural elements results in no or only very slight effects on the light distribution.
(73) It is also advantageous when all structural elements 110 are identically oriented.
(74) With a planar defined area no further explanations are necessary. With curved surfaces (for example: lens), the structural elements are arranged identically along axes through the surface, which axes extend parallel to an axis of symmetry or to an optical axis of the surface (and not normal to the surface normal).
(75) This has manufacturing advantages in particular, since the optical structure and the tool for producing the structure can be easily removed in this way, since no undercuts can form on the optical structure.
(76) An optical structure according to the invention or a modified light pattern can be produced optimally when the scattering function PSF is a point-spread function.
(77) It is also advantageous if the symmetry of a structural element is dependent on the symmetry of the scattering function PSF. The structural element generally has the same class of symmetry as the PSF. If, by way of example, the PSF is mirror-symmetrical horizontally, the structural element thus also has a horizontal mirror symmetry.
(78) Returning again to
(79) Structural elements are thus preferably substantially rotationally symmetrical, but depending on the application may have different deformations, i.e. deviations from this rotationally symmetrical structure, wherein these deformations can be formed over a large area, generally from locally.
(80) It is also advantageous for the dimensions of a structural element 110, therefore in the shown case the diameter d and/or the height h of the structural element 110, to be greater, in particular much greater than the wavelength of visible light, and therefore diffraction effects can be avoided.
(81) Here, the height h of the structural elements 110 lies in the m range.
(82) By way of example, the height of the structural elements 110 lies in the range of 0.5-5 m, wherein the height h of the structural elements 110 preferably lies in the range of 1-3 m.
(83) In a specific embodiment the height h of the structural elements 110 is approximately 2.7 m.
(84) In a specific embodiment, for example in variants having the above-described heights, the diameter d of the structural elements 110 lies in the millimeter range.
(85) By way of example, the diameter d of the structural elements 110 is between 0.5-2 mm, wherein the diameter d or a length of the structural elements 110 is approximately 1 mm.
(86) In an exemplary embodiment of a lens on which the structural elements are arranged, the diameter of the lens is 90 mm.
(87) An optical structure can be produced easily when the defined area 111 (which in the shown example is the lens face 5a) over which the structural elements 110 are distributed is divided into avirtualpreferably regular grid structure (200), such as that shown in
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(89) Such an arrangement is advantageous in particular also in respect of an optimal optical effect of the optical structure, since the optical effect of the optical structure can thus be adjusted in an optimal manner.
(90) The regularity of the structure is to be considered here, in the case of a curved optical area over which the optical structure is arranged, in respect of a projection of this defined area into a plane, whereinon account of the short grid spacingthe grid can be considered as planar even with a curved defined area in the region of adjacent grid points.
(91) In accordance with the shown preferred embodiment of the invention the grid structure forms a hexagonal grid 200. In this way an optimal filling of the defined area can be achieved, in particular in the case of structural elements 110 having a circular base, and therefore approximately 87% of the defined area is covered by structural elements 100 and merely approximately 13% unmodified area 111 (see
(92) Where possible, as shown in
(93) From an optical viewpoint it is optimal when the transition of the structural elements 110 to the defined area 111 is continuous, preferably C2 continuous, i.e. is implemented with continuous tangents.
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(95) The structural element 110 shown in
(96) The optical structural element 110 reaches its maximum height above the origin 0 and continuously falls in the region 1110 toward its edge, i.e. toward the edge of the region 1110 with radius r, preferably C0 continuously. The region 1110 of the optical element distanced from the defined area preferably has a circular symmetry, i.e. points on the surface 1110 with identical normal distance from the defined area lie over a circle having a centrepoint in the origin.
(97) The region 1110 also has a flattened region 1110, which extends concentrically around the centrepoint 0 and extends as far as the transition areas 1112, 1113. The flattened region 1110 extends here for example over a width of approximately 0.05-0.1 times the radius r and lies in a region between 0.4 and 0.6 radii r about the centrepoint 0.
(98) The transition area 1113 extends parallel to the x direction, the distance r of the area 1113 to the x axis is approximately 0.3-0.5 radii r, preferably 0.4 radii r (ya=+/(0.3-0.5) r, preferably ya=+/0.4 r. The transition area 1113 extends on either side of the y axis preferably as far as the flattened region 1110.
(99) The transition areas 112 extend symmetrically to the y axis, the distance r of both areas 1112 to a straight line parallel to the area 1112, which straight line extends through the centrepoint 0, lies in the range of 0.4-0.6 radii r, preferably at approximately 0.55 r. The areas 1112 intersect the x axis in each case at approximately xs=+/(0.6-0.8) r, preferably xs=+/0.75 r.
(100) The transition area 1113 is, as illustrated, preferably flattest on the y axis and becomes increasingly steeper toward the edge r.
(101) The transition between the transition areas 1112, 1113 and the areas 1110 is preferably implemented C0 continuously, as is the transition toward the area 1111.
(102) The illustrated structural element is illustrated approximately 25 times exaggerated in order to make visible any differences in the gradients. The gradient angles of the surface of the structural element actually lie in the region 1110 between approximately 0 and 1, and naturally in the region 1111 at 0.
(103) In the transition regions the gradients are approximately 2-3.
(104) Whereas beams can pass through the area 1111 unhindered, the region 1110 scatters penetrating light in such a way that this leads to a softening of the gradient in the light pattern. The transition areas with their greater gradients by contrast deflect upwardly any light beams passing through, such that these lie in the light pattern above the horizontal line and lead to a signlight function.
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(106) The distributions or light segments LS1 typically have, although this is not limiting, a width and/or a height of approximately 1. In the case of rectangular light segments these usually have a (slightly) greater extension in vertical height than in the horizontal direction.
(107) Due to the distance between the light segments LS1, dark gaps are formed in the light pattern. The width of these gaps (which corresponds to the distances d1, d2) is typically less than or equal here to 0.5 and greater than 0, generally less than or equal to 0.2 or less than or equal to 0.1. A typical range for the width d1, d2 of the gaps lies between 0.05 and 0.15.
(108) The light intensity is substantially identical in all individual light distributions LS1, and the intensity in the individual light distributions LS1 is also advantageously substantially homogeneous over the entire area of the individual light distribution, as is indicated schematically in
(109) Due to the optical structure, part of the light beam which without optical structure generates exclusively an individual light distribution LS1 is deflected into the gap regions framing this individual light distribution LS1, which gap regions are produced as a result of the distancing of the individual lights distributions LS1 from one another.
(110) With an optical structure according to the invention as described above, a scattering of the light radiated into these light segments can now be achieved, and therefore the grid structure as shown in
(111) The dark edge regions around the individual light distributions are thus lit up exclusively by light from individual light distributions bordering these edge regions, such that, when individual light distributions are switched off, the switched-off regions in the overall light pattern still appear dark and are not lit by scattered light from other individual light distributions.
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(113) With the optical structure only part of the flow of light forming exactly one light segment LS1 is scattered into the adjacent edges. The intensity in the modified light segments LS1 is thus reduced to a value I1 (wherein the shape of the segments LS1 also corresponds to the unmodified light segments LS1), however some of the light for the original segment LS1 is scattered into the adjacent edges. The amount of scattered light is selected here via the optical structure (or designed in accordance with the optical structure) in such a way that, in a gap as on the right-hand side of
(114) With the invention is possible to describe signlight and gradient softening via a point-spread function and to implement this in a single optical structural element, which repeats itself in the optical structure. The described procedure delivers a high flexibility in respect of the appearance of the gradient (or the softness of the HD boundary), and, in contrast with geometry-centred approaches from the prior art, the visual impression can be relatively easily modelled and implemented via the point-spread function.