IMAGING OPTICAL UNIT FOR GENERATING A VIRTUAL IMAGE AND SMARTGLASSES

Abstract

An imaging optical unit for generating a virtual image of an initial image represented on an image generator includes at least one spectacle lens, an input coupling device for coupling an imaging beam path emanating from the initial image in between the inner surface and the outer surface of the spectacle lens, and a Fresnel structure present in the spectacle lens for coupling the imaging beam path out from the spectacle lens in the direction of the eye. The input coupling device couples the imaging beam path in between the inner surface and the outer surface of the spectacle lens in such a way that it is guided by reflections between the inner surface and the outer surface to the Fresnel structure. The Fresnel structure has Fresnel surfaces, which bring about a base deflection of the rays of the imaging beam path by 45 to 55 degrees.

Claims

1-16. (canceled)

17. An imaging optical unit for generating a virtual image of an initial image represented on an image generator, comprising: at least one spectacle lens, including an inner surface that faces an eye of a user and an outer surface that faces away from the eye of the user; an input coupling device that couples an imaging beam path emanating from the initial image in between the inner surface and the outer surface of the spectacle lens; and a Fresnel structure present in the spectacle lens that is configured to couple the imaging beam path out from the spectacle lens towards the eye of the user, wherein the input coupling device is configured to couples the imaging beam path such that the imaging beam path is guided by reflections between the inner surface and the outer surface of the Fresnel structure, wherein the imaging beam path comprises a plurality of rays, and wherein the Fresnel structure includes Fresnel surfaces configured to provide a base deflection of the plurality of rays of the imaging beam path by 45 to 55 degrees.

18. The imaging optical unit of claim 17, wherein the input coupling device is configured to couple the imaging beam path in between the inner surface and the outer surface of the spectacle lens such that the imaging beam path is guided via four reflections to the Fresnel structure.

19. The imaging optical unit of claim 17, wherein an edge thickening region is provided in the spectacle lens between the input coupling device and the Fresnel structure, in which a thickness of the spectacle lens is greater than a thickness in the region of the Fresnel structure.

20. The imaging optical unit of claim 19, wherein the input coupling device is configured to couple the imaging beam path in between the inner surface and the outer surface of the spectacle lens such that a first reflection occurs after the input coupling at the outer surface of the spectacle lens a second reflection occurs after the input coupling in the edge thickening region at a reflection surface arranged on the inner side of the spectacle lens.

21. The imaging optical unit of claim 20, wherein the reflection surface arranged on the inner surface of the spectacle lens in the edge thickening region has a freeform surface that at least partly corrects imaging aberrations.

22. The imaging optical unit of claim 20, wherein the reflection surface arranged on the inner surface of the spectacle lens in the edge thickening region is a conic section surface on which the freeform surface is superimposed.

23. The imaging optical unit of claim 17, wherein the Fresnel structure has a focal length of at least 80 mm.

24. The imaging optical unit of claim 17, wherein a collimator that collimates the imaging beam path is integrated into the input coupling device.

25. The imaging optical unit of claim 24, wherein the input coupling device comprises an entrance surface, a first mirror surface and a second mirror surface, wherein at least one of the entrance surface, the first mirror surface and the second mirror surface forms the collimator.

26. The imaging optical unit of claim 25, wherein at least one of the first mirror surface, the second mirror surface and the entrance surface has a freeform surface that at least partly corrects imaging aberrations.

27. The imaging optical unit of claim 25, wherein at least one of the first mirror surface, the second mirror surface and the entrance surface of the input coupling device is a conic section surface on which the freeform surface is superimposed.

28. The imaging optical unit of claim 24, wherein the collimator has a focal length in a range of 20 mm to 30 mm.

29. The imaging optical unit of claim 17, wherein the Fresnel surfaces have Fresnel zone depths in a range of 0.35 mm to 0.5 mm.

30. The imaging optical unit of claim 17, wherein the spectacle lens has a radius of curvature in the range of 100 mm to 150 mm.

31. The imaging optical unit of claim 17, wherein the spectacle lens and the input coupling device form a monolithic unit.

32. Smartglasses comprising an imaging optical unit for generating a virtual image as claimed in claim 17.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0029] FIG. 1 shows smartglasses in a perspective illustration.

[0030] FIG. 2 shows a spectacle lens and an input coupling device of the smartglasses from FIG. 1 in a schematic illustration.

[0031] FIG. 3 shows the spectacle lens and the input coupling device in a perspective illustration.

[0032] FIG. 4 shows a Fresnel structure such as is used in the smartglasses shown in FIG. 1.

[0033] FIG. 5 shows an excerpt from an imaging beam path in smartglasses according to the prior art with a small field of view angle.

[0034] FIG. 6 shows an excerpt from an imaging beam path in smartglasses according to the prior art with a large field of view angle.

[0035] While the invention is amenable to various modifications and alternative forms, specifics thereof have been shown by way of example in the drawings and will be described in detail. It should be understood, however, that the intention is not to limit the invention to the particular example embodiments described. On the contrary, the invention is to cover all modifications, equivalents, and alternatives falling within the scope of the invention as defined by the appended claims.

DETAILED DESCRIPTION

[0036] In the following descriptions, the present invention will be explained with reference to various exemplary embodiments. Nevertheless, these embodiments are not intended to limit the present invention to any specific example, environment, application, or particular implementation described herein. Therefore, descriptions of these example embodiments are only provided for purpose of illustration rather than to limit the present invention.

[0037] The imaging optical unit according to the invention is described below on the basis of the example of smartglasses equipped with such an imaging optical unit.

[0038] Smartglasses 1 equipped with an imaging optical unit according to the invention are shown in FIG. 1. The imaging optical unit itself, which comprises a spectacle lens 3 and an input coupling device 23, is shown in FIGS. 2 and 3, wherein FIG. 2 shows the imaging optical unit in a schematic illustration for elucidating its functioning and FIG. 3 shows a typical configuration of the imaging optical unit in a perspective illustration.

[0039] The smartglasses 1 comprise two spectacle lenses 3, 5, which are held by a spectacle frame 7 with two spectacle earpieces 9, 11. The lenses each have an inner surface 13, 15 (visible in FIGS. 2 and 3) facing the user's eye with the spectacles put in place, and an outer surface 17, 19 (visible in FIGS. 1 and 2) facing away from the user's eye. In the present exemplary embodiment, an image generator 21 (shown in FIG. 2) is situated in the spectacle earpiece 9 or between the spectacle earpiece 9 and the spectacle lens 17, which image generator may be embodied for example as a liquid crystal display (LCD display), as a display based on light emitting diodes (LED display) or as a display based on organic light emitting diodes (OLED display). An input coupling device 23 is arranged between the image generator 21 and the spectacle lens 3, which input coupling device, in the present exemplary embodiment, has an entrance surface 25, a first mirror surface 27 and a second mirror surface 29 and is embodied as a block of glass or transparent plastic, wherein the entrance surface 25 and the mirror surfaces 27, 29 are formed by surfaces of the block (see FIG. 3). Like the block forming the input coupling device 23, the spectacle lens 3 can also be produced from glass or transparent plastic.

[0040] In the present exemplary embodiment, the block forming the input coupling device 23 and the spectacle lens 3 are embodied in a monolithic fashion, that is to say that there is no interface and thus no air gap present between the block and the spectacle lens 3. Particularly upon oblique passage through surfaces of the spectacle lens or of the block adjoining air, chromatic aberrations and other higher-order aberrations would occur, which can be avoided by the embodiment without an air gap. Complex correction means would be necessary for such chromatic aberrations or higher-order aberrations. Moreover, air gaps would have high sensitivities to tilting and position tolerances, which can likewise be avoided by the monolithic configuration of the block forming the input coupling device and the spectacle lens. However, the described monolithic configuration of block and spectacle lens 3 is not absolutely necessary. An air gap between block and spectacle lens 3 can also be avoided if the block and the spectacle lens 3 are shaped as separate units and subsequently cemented to one another. If the block forming the input coupling device 23 and the spectacle lens 3 consist of two units cemented to one another, it goes without saying that both can also be produced from different materials. It is preferred, however, for the block forming the input coupling device 23 and the spectacle lens 3 to be embodied in a monolithic fashion, that is to say without an interface between them.

[0041] The input coupling device 23 serves not only for coupling the imaging beam path emanating from the image generator 21 into the spectacle lens 3 but also for collimating the divergent beams of the imaging beam path that emanate from the pixels of the initial image represented by the image generator 21. For this purpose, in the present exemplary embodiment, the entrance surface 25, the first mirror surface 27 and the second mirror surface 29 have correspondingly curved surfaces, wherein the entrance surface 25 is embodied as an ellipsoidal surface and the two mirror surfaces 27, 29 are embodied in each case as hyperbolic surfaces. These curvatures represent the basic curvatures of said surfaces. In the present exemplary embodiment, freeform surfaces given by polynomials in x and y are superimposed on the basic curvatures of said surfaces 25, 27, 29, when x and y represent coordinates of a coordinate system whose z-axis corresponds to the optical axis of the imaging beam path. The z-coordinate of the surfaces in the imaging apparatus 23 are then defined by the sum of the z-coordinate given by a conic section surface (basic curvature) and a z-coordinate given by the polynomial (freeform surface). The function of the freeform surfaces will be explained later.

[0042] The spectacle lens 3 and the input coupling device 23 together form the imaging optical unit of the smartglasses 1, which generates a virtual image of the initial image represented on the image generator.

[0043] The input coupling device 23 couples the imaging beam path collimated by means of the entrance surface 25 and the two mirror surfaces 27, 29 into the spectacle lens 3 between the inner surface 13 and the outer surface 17. In the spectacle lens 3, the imaging beam path is then guided by means of reflections at the outer surface 17 and the inner surface 13 of the spectacle lens 3 to a Fresnel structure 31, by which the collimated imaging beam path is coupled out by being deflected in the direction of the inner surface 17 of the spectacle lens 3 in such a way that it emerges from the spectacle lens 3 through said inner surface refractively in the direction of the exit pupil 33 of the imaging optical unit. With the smartglasses 1 put in place, the exit pupil 33 is situated at the location of the pupil of the user's eye, of which the eye fulcrum 35 is illustrated in FIG. 2.

[0044] A Fresnel structure 31 such as can be used in the imaging optical unit of the smartglasses 1 is described in FIG. 4. The Fresnel structure 31 shown has facets 39, which, in the present exemplary embodiment, are oriented such that a zero ray of the imaging beam path that impinges on the facet 39 is reflected in the direction of the inner surface 17 of the spectacle lens 3 and the reflected zero ray forms an angle of θ=50 degrees with the incident zero ray. In the present exemplary embodiment, the facets 39 are partly reflectively coated, such that beams originating from the surroundings can pass through the partly reflectively coated facets 39 in the direction of the exit pupil 33. In this way, in the region of the exit pupil 33 a beam path is present in which the imaging beam path is superimposed with a beam path originating from the surroundings, such that a user of smartglasses 1 provided with the imaging optical unit is given the impression that the virtual image floats in the surroundings.

[0045] On the path to the Fresnel structure 31, four reflections take place in the spectacle lens 3 after the input coupling of the imaging beam path, of which reflections the first R1 takes place at the outer surface 17 of the spectacle lens 3, the second reflection R2 takes place at the inner surface 13 of the spectacle lens 3, the third reflection R3 takes place once again at the outer surface 17 of the spectacle lens 3 and the fourth reflection R4, finally, takes place again at the inner surface 13 of the spectacle lens 3. The Fresnel structure 31 is situated in the outer surface of the spectacle lens, to where the imaging beam path is reflected by the fourth reflection R4. By means of the Fresnel structure 31, the imaging beam path is then coupled out from the spectacle lens 3 in the direction of the exit pupil of the imaging optical unit as described. FIG. 3 shows a center ray and two marginal rays of a divergent beam emanating from the image generator 21. As a result of the collimation by means of the input coupling device 23, forming a collimation optical unit, a largely collimated beam path is present in the spectacle lens 23, and is then coupled out as a largely collimated beam path by the Fresnel structure 31.

[0046] Where the second reflection R2 takes place at the inner surface 13 of the spectacle lens 3, the spectacle lens 3 is provided with an edge thickening 37, that is to say that in this region the distance between the inner surface 13 and the outer surface 17 is greater than in the other regions of the spectacle lens 3, where the distance between the inner surface 13 and the outer surface 17 is substantially constant, provided that the spectacle lens 3 is not designed to correct defective vision. By contrast, if the spectacle lens 3 has a form that corrects defective vision, then the spectacle lens in the region of the edge thickening 37 can be thicker than would be necessary for correcting the defective vision. In order to minimize the impairment of the view through the edge thickening 37, the edge thickening is situated in an edge region of the spectacle lens, that is to say in a region which corresponds to a large visual angle and therefore lies at the edge of a user's field of view, where it is only slightly disturbing, if at all. The edge thickening 37 enables a smaller Footprint Overlap in comparison with a spectacle lens 3 without an edge thickening 37, which in turn enables a large field of view (FOV) and also a larger eyebox, without the spectacle lens having to be made thicker as a whole. Moreover, the edge thickening 37 makes it possible to intervene with regard to the imaging quality relatively near the pupil, for which reason the edge thickening 37 in the present exemplary embodiment has a freeform surface 41 in which a freeform shape defined by a polynomial is superimposed on the basic curvature of the inner surface 13 of the spectacle lens 3.

[0047] In the present exemplary embodiment, the reflections R1 to R4 at the inner surface 13 and the outer surface 17 of the spectacle lens are realized by total internal reflections at the inner surface 13 and the outer surface 17, which constitute in each case an interface with air, that is to say with an optically less dense medium. In principle, however, they can also be realized by reflective coatings on the inner surface 13 and the outer surface 17, but that would make the production of the spectacle lens more complex and thus more expensive. In principle, the reflections could also take place at reflective layers situated in the interior of the spectacle lens 3, but in terms of production that would be even more complex than coating the inner and outer surfaces of the spectacle lens.

[0048] In the present exemplary embodiment, the collimation optical unit of the imaging apparatus 23 and the spectacle lens 3 together with the Fresnel structure 31 form an imaging chain that can be classified into three regions. In this case, the first region is the collimation optical unit of the input coupling device 23, which has a focal length of between 20 and 30 mm and substantially performs the collimation of the imaging beam path emanating from the image generator 21.

[0049] The second region of the imaging chain is provided by the reflection surface of the edge thickening 37 of the spectacle lens 3, said reflection surface being embodied as a freeform surface 41. By virtue of its freeform design, said surface performs at least part of the correction of imaging aberrations in the imaging beam path. Moreover, in the region of the reflection surface of the edge thickening 37, the edge thickening 37 ensures that at the facets 39 of the Fresnel structure 31 the angle between a zero ray incident on a facet 39 and a zero ray reflected by the facet 39 does not become less than approximately 45 degrees. Angles of less than approximately 45 degrees would increase the Footprint Overlap.

[0050] The third region of the imaging chain is the Fresnel structure 31 with its facets 39. In the present exemplary embodiment, the facets 39 are embodied with freeform surfaces, that is to say that a freeform surface given by a polynomial in x and y is superimposed on the basic surface of the facets 39, wherein x and y represent coordinates of a coordinate system whose z-axis corresponds to the optical axis of the imaging beam path at the location of the facets 39. The focal length of the Fresnel structure 31 is greater than 80 mm in terms of absolute value, that is to say that the Fresnel surfaces have a predominantly deflecting function and practically no collimating function. Furthermore, by virtue of their freeform shape the Fresnel surfaces also serve for correcting imaging aberrations.

[0051] By virtue of the great segmentation of the Fresnel structure 31 with simultaneous proximity to the exit pupil 33, imaging aberrations would be influenced disadvantageously given a focal length of less than 80 mm. This effect is all the greater, the greater the depth t of the facets. A certain minimum depth is necessary, however, in order to provide the mutually incoherent Fresnel surfaces with a sufficiently large aperture. In the present exemplary embodiment, the depth t is 0.45 mm.

[0052] Besides the freeform surfaces of the facets 39 and the edge thickening 37, in the present exemplary embodiment the entrance surface 25, the first mirror surface 27 and the second mirror surface 29 of the input coupling optical unit 23 also have an imaging aberration-correcting function. For this purpose, these surfaces are embodied as freeform surfaces like the reflection surface 41 in the region of the edge thickening and the facets 39 of the Fresnel structure 31.

[0053] A concrete exemplary embodiment of an imaging optical unit according to the invention is specified below. In this exemplary embodiment, the inner surface 13 and the outer surface 17 of the spectacle lens 3 are spherical surfaces, wherein the radius of curvature of the inner surface 13 of the spectacle lens is 119.4 mm and the radius of curvature of the outer surface 17 of the spectacle lens is 120.0 mm. The thickness of the spectacle lens outside the edge thickening region is 4 mm. The material of the spectacle lens including the input coupling device produced monolithically with the spectacle lens is polycarbonate in the present exemplary embodiment.

[0054] In the concrete exemplary embodiment, in particular the shape of the freeform surfaces is explicitly specified, the coordinates of the individual surfaces being related in each case to a local coordinate system of the corresponding surface, the position and orientation of said system resulting from a translation and a rotation relative to the coordinate system of the exit pupil 33 (the coordinate system of the exit pupil is depicted in FIG. 2). Table 1 shows in each case the position and the orientation of the local coordinate system for the exit pupil 33, the output coupling surface A at the inner surface 13 of the spectacle lens 3, the Fresnel structure 31, the outer surface 17 of the spectacle lens 3, the surface 41 in the region of the edge thickening 37 of the spectacle lens 3, the surface of the image generator 21, the entrance surface 25 of the input coupling device, the first reflection surface 27 of the input coupling device and the second reflection surface 29 of the input coupling device. In this case, the translation of the respective local coordinate system relative to the coordinate system of the exit pupil 33 is given by the coordinates X, Y, Z (in mm) of the origin of the local coordinate system in the coordinate system of the exit pupil 33. The orientation of the respective local coordinate system in comparison with the orientation of the coordinate system of the exit pupil 33 is defined by a rotation about the axes of the coordinate system of the exit pupil 33, wherein the rotation of the local coordinate system is realized by a rotation about the x-axis of the coordinate system of the exit pupil 33, a subsequent rotation about the y-axis of the coordinate system of the exit pupil 33 and a final rotation about the z-axis of the coordinate system of the exit pupil 33. Table 1 shows, with regard to the rotations, in each case the rotation angles Dx, Dy, Dz about the x-axis, the y-axis and the z-axis of the coordinate system of the exit pupil 33.

TABLE-US-00001 TABLE 1 Surface X Y Z Dx Dy Dz 33 0.00 0.00 0.00 0.0000 0.0000 0.0000 A 0.00 0.00 15.83 4.4021 2.4659 0.0000 31 −0.14 10.21 18.43 9.0287 2.6089 1.6685 17 −0.15 10.24 18.62 9.0287 2.6089 1.6685 37 −27.74 3.56 9.82 −16.7066 −40.1079 3.9576 29 −37.047 −0.26 3.94 74.1177 −57.1390 85.3575  27 −32.65 14.56 0.08 164.5010 −30.9168 162.8878  25 −36.21 14.73 1.16 −135.2186 −17.1487 −166.7386    21 −39.12 15.28 6.33 −156.5923 −48.2258 131.8230,.sup. 

[0055] The freeform surfaces of the Fresnel structure, of the input coupling surface 25, of the first mirror surface 27 and of the second mirror surface 29 satisfy the formula,

[00001]$z=\frac{{\mathrm{cr}}^2}{1+\sqrt{1-\left(1+k\right).Math.c^2.Math.r^2}}+\underset{j=2}{\overset{66}{.Math.}}.Math..Math.C_j.Math.x^m.Math.y^n.Math..Math.\mathrm{where}$$i=\frac{{\left(m+n\right)}^2+m+3.Math..Math.n}{2}+1$

wherein z indicates the coordinate of the respective surface in the z-direction of the local coordinate system, x and y indicate the coordinates in the x- and y-directions of the local coordinate system, wherein r.sup.2=x.sup.2+y.sup.2 holds true and k represents the so-called conic constant, c represents the curvature at the vertex of the surface, C.sub.j represent the coefficient of the j-th polynomial element and m and n represent integers. While the first summand of the formula describes a conic section surface, the second summand describes the freeform shape superimposed on the conic section surface. The conic constants for the freeform surface 41 of the edge thickening 37, the entrance surface 25 of the input coupling device 23, the first mirror surface 27 of the input coupling device 23 and the second mirror surface 29 of the input coupling device 23 are indicated in table 2 below. The coefficients C.sub.j are indicated in Table 3. Table 3 additionally contains the index j and the values for the integers m and n producing the index j.

TABLE-US-00002 TABLE 2 Surface (reference numeral) conic constant k 41 0.000000e+000 29 −1.330999e+001 27 −4.140479e+001 25 7.034078e+000

TABLE-US-00003 TABLE 3 Surface Surface Surface Surface m n j 41 29 27 25 0 1 3 −7.812228e−001  −1.531215e−001  −9.695834e−002  −2.182048e−001 0 2 6 1.958740e−003 5.530905e−003 3.009592e−003  2.743847e−002 0 3 10 3.078706e−004 4.810893e−005 −1.406214e−004   1.736766e−003 0 4 15 6.460063e−006 −4.169802e−006  −7.827152e−005  −1.778852e−003 0 5 21 −7.155882e−007  1.294771e−010 −6.659100e−006  −2.174033e−004 0 6 28 0.000000e+000 0.000000e+000 0.000000e+000  9.578189e−006 1 0 2 1.496710e+000 2.906973e−002 1.963331e−001  3.809971e−001 1 1 5 2.320350e−003 4.913123e−003 9.992371e−003 −1.691716e−002 1 2 9 −5.423841e−004  3.048980e−004 1.913540e−003 −2.514755e−003 1 3 14 −2.569728e−005  2.876553e−005 3.820120e−004  3.443101e−004 1 4 20 −1.002203e−007  −1.152883e−006  3.039797e−005  3.463227e−004 1 5 27 0.000000e+000 0.000000e+000 0.000000e+000  1.824457e−004 1 6 35 0.000000e+000 0.000000e+000 0.000000e+000  4.422777e−005 2 0 4 5.147623e−003 −8.994150e−004  −8.849176e−004  −2.917254e−002 2 1 8 2.671193e−004 −3.707353e−004  −3.086351e−004  −1.274667e−002 2 2 13 5.593883e−005 −1.528543e−005  −5.238054e−005  −5.634069e−003 2 3 19 4.017967e−006 4.639629e−006 1.089040e−005 −9.635637e−004 2 4 26 5.602905e−008 −1.433568e−007  3.546340e−006 −3.502309e−004 2 5 34 0.000000e+000 0.000000e+000 0.000000e+000 −1.322886e−004 3 0 7 −8.579227e−004  2.524392e−004 −5.431761e−004  −5.282344e−003 3 1 12 −7.451077e−006  −1.578617e−005  1.932622e−005 −2.095379e−003 3 2 18 −6.144115e−006  −2.864958e−006  −2.274442e−005   4.164574e−004 3 3 25 −2.684070e−007  3.834197e−007 −7.089393e−006   8.088923e−004 3 4 33 0.000000e+000 0.000000e+000 0.000000e+000  2.862418e−004 4 0 11 1.844420e−005 1.445034e−005 1.370185e−005 −2.553006e−003 4 1 17 3.271372e−006 −1.685033e−006  5.353489e−006 −1.091894e−003 4 2 24 3.556975e−007 −2.748172e−007  4.917033e−006 −5.902346e−004 4 3 32 0.000000e+000 0.000000e+000 0.000000e+000 −2.514605e−004 5 0 16 −1.148306e−006  1.556132e−006 −5.349622e−006  −4.384465e−005 5 1 23 −2.151692e−007  3.109116e−009 −1.549379e−006   2.614591e−004 5 2 31 0.000000e+000 0.000000e+000 0.000000e+000  1.283256e−004 6 0 22 4.878059e−008 4.028435e−008 7.883487e−007 −8.741985e−006 6 1 30 0.000000e+000 0.000000e+000 0.000000e+000 −2.600512e−005 7 0 29 0.000000e+000 0.000000e+000 0.000000e+000  5.870927e−006

[0056] The freeform surfaces of the facets 39 of the Fresnel structure 31 satisfy the formula

[00002]$z=\underset{j=1}{\overset{66}{.Math.}}.Math..Math.C_j.Math.x^m.Math.y^n.Math..Math.\mathrm{where}.Math..Math.j=\frac{{\left(m+n\right)}^2+m+3.Math..Math.n}{2}$

[0057] In this case, C.sub.j represents the coefficients of the j-th polynomial element, m and n represent integers, and x and y represent the coordinates in the x- and y-directions of the local coordinate system. From the value for z obtained by means of the formula, an effective z-value (z-effective) is then determined, wherein determining z-effective is carried out in accordance with the following formula

z-effective=floor(z,t),

wherein t stands for the depth of the Fresnel structure and the floor function ensures that the value for z does not lead to an exceedance of the maximum value for the depth t of the Fresnel structure 31, which is 0.45 mm in the present example. The coefficients C.sub.j, the index j and the integers m, n, from which the index j is calculated, are indicated in Table 4.

TABLE-US-00004 TABLE 4 j m n C.sub.j 2 0 1 0.145848 5 0 2 0.000945109 9 0 3 0.000084 14 0 4 −0.000002 20 0 5 −1.384164e−007 1 1 0 −0.537173 4 1 1 0.000858145 8 1 2 0.000051 13 1 3 −0.000007 19 1 4 −0.000001 26 1 5 −2.045896e−008 3 2 0 −0.000696924 7 2 1 0.000078 12 2 2 0.00001 18 2 3 0.000001 25 2 4  1.860516e−008 6 3 0 −0.000054 11 3 1 −0.000021 17 3 2 −0.000002 24 3 3 −8.679409e−008 10 4 0 0.000002 16 4 1 0.000001 23 4 2  7.693742e−008 15 5 0 −0.000001 22 5 1 −6.366967e−008

[0058] The concrete exemplary embodiment described makes it possible to achieve the following characteristic variables for the imaging apparatus: [0059] Field of View (FOV): 13 degrees×7.3 degrees (Diagonal 15 degrees) [0060] Size of the eyebox: 8 mm×10 mm [0061] Size of the image generator: 6.4 mm×4.8 mm (used 6.4 mm×3.6 mm) [0062] virtual object distance: 3 m [0063] Spectacle lens thickness: 4 mm

[0064] The concept underlying the invention, which concept has been described with reference to the exemplary embodiments, makes it possible, without a relatively great outlay, to increase the field of view in the y-direction, that is to say that the value of 7.3 degrees could be increased as necessary to at least 10 degrees. The same applies to the eyebox as well. Here the value could be enhanced from 10 mm to 15 mm.

[0065] The present invention has been described in detail on the basis of concrete exemplary embodiments for explanation purposes. It goes without saying, however, that the invention is not intended to be exclusively restricted to the present exemplary embodiments. In particular, deviations from the exemplary embodiments described are possible. In this regard, the deflection of the rays at the facets of the Fresnel structure can assume an arbitrary value in the range of between 45 and 55 degrees. Likewise, the depth t of the Fresnel zones can have an arbitrary value in the range of between 0.35 and 0.5 mm. The radii of curvature of the inner surface and the outer surface of the spectacle lens can also deviate from the value indicated. In particular, they can be between 100 and 150 mm. Moreover, the radii of curvature of the outer surface and of the inner surface can differ from one another more distinctly than is the case in the present exemplary embodiment, particularly if defective vision is also intended to be corrected by the spectacle lens. Finally, it should also be noted that, in the smartglasses 1 according to the invention, the second spectacle lens 5 can also be part of a second imaging optical unit according to the invention, which corresponds to the imaging optical unit described. The image generator for this would then be arranged between the second spectacle earpiece 11 and the second spectacle lens 5. Therefore, the present invention is intended to be restricted only by the appended claims.

[0066] While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiments, it will be apparent to those of ordinary skill in the art that the invention is not to be limited to the disclosed embodiments. It will be readily apparent to those of ordinary skill in the art that many modifications and equivalent arrangements can be made thereof without departing from the spirit and scope of the present disclosure, such scope to be accorded the broadest interpretation of the appended claims so as to encompass all equivalent structures and products. Moreover, features or aspects of various example embodiments may be mixed and matched (even if such combination is not explicitly described herein) without departing from the scope of the invention.