The following relates to the optical combiner arts, stereoscopic display arts, virtual reality (VR) arts, augmented reality (AR) arts, heads-up display (HUD) arts, and related arts.
In AR, VR and HUD devices, an optical combiner allows the viewer to see a computer-generated image overlayed on the image of the real world. In some designs for applications such as AR, the viewer sees a combination of the real world whose light is transmitted through the optical combiner and virtual content that is deflected from the optical combiner. The optical combiner is transparent for light coming through but deflects light coming from a projector on the viewer side of the device. Hence, the optical combiner operates to combine the real world view and the projected content.
In some designs, the optical combiner comprises a holographic device that is typically made from surface relief gratings or volume holograms. In the case of volume holograms, the optical effect is based on the Bragg reflector concept. (A Bragg reflector is a material that has a periodically modulated index of refraction). In another approach, liquid crystal (LC) technology can be used to produce volume holograms that are sensitive to the circular polarization state of light (CPVHs), that adds versatility to the system design.
However, such optical combiner designs provide wavelength sensitive deflection, unlike a mirror. In other words, while a mirror reflects all colors into the same reflection angle (e.g., angle of reflection equal to angle of incidence), a polarization volume hologram (PVH) deflects light of different colors incident at the same angle of incidence into different deflected angles. That is, light of different wavelengths are deflected by the PVH into different angles, for the same angle of incidence. In this case a white image produced by the projector will be seen by the user as a separated primary color image.
As a more specific example, a single layer PVH combiner used in a Maxwellian view optical system as described in Jang, Bang, Li, and Lee, “Holographic near-eye display with expanded eye-box”, ACM Trans. Graph. 37, 6, Article 195 (November 2018) (hereinafter “Jang”). More generally, a wide angle deflector can be used whenever the color crosstalk is a problem, for example in a waveguide AR/VR system. In the illustrative example of a Maxwellian view optical system, eyeball rotation (and hence corresponding pupil movement) is accommodated by moving the projector toward or away from the PVH. While this enables the deflected ray to track the pupil location, it also changes the angle of incidence of light from the projector onto the PVH. Hence, the PVH should be designed to have a wide angle of acceptance. Moreover, the PVH combiner is designed for a single wavelength, and hence will deflect light at wavelengths other than the design-basis wavelength into different deflected angles. This difference in the deflected angle for different incident wavelengths causes a chromatic aberration due to the spatial separation of the colors of the image. For a full color display, it is desired for the PVH to operate over the entire visible spectrum, for example as represented by the three primary colors: blue light (e.g., 450 nm), green light (e.g., 525 nm), and red light (e.g., 635 nm). This cannot be accomplished using a single PVH.
In some nonlimiting illustrative embodiments, an optical combiner includes: a first polarization volume hologram (PVH) configured to deflect light of a first color; a second PVH configured to deflect light of a second color that is different from the first color; a third PVH configured to deflect light of a third color that is different from the first and second colors; and a first polarization interference filter (PIF) configured to switch light of the first color from a polarization that is not deflected by the first PVH to a polarization that is deflected by the first PVH. The optical combiner may optionally further include a second PIF configured to switch light of the second color from a polarization that is not deflected by the second PVH to a polarization that is deflected by the second PVH. The optical combiner may optionally further include a third PIF configured to switch light of the third color from a polarization that is not deflected by the third PVH to a polarization that is deflected by the third PVH.
In some nonlimiting illustrative embodiments, an optical combiner includes: a first PVH configured to deflect light of a first color that has the first polarization and configured to not deflect light of any color that has the second polarization; a second PVH configured to deflect light of a second color that has the first polarization and configured to not deflect light of any color that has the second polarization; a third PVH configured to deflect light of a third color that has the first polarization and configured to not deflect light of any color that has the second polarization; a first PIF configured to switch light of the first color from the second polarization to the first polarization; a second PIF configured to switch light of the second color from the second polarization to the first polarization; and a third PIF configured to switch light of the third color from the second polarization to the first polarization. The order of the structures with respect to the light source is the first PIF, first PVH, second PIF, second PVH, third PIF, third PVH.
A partial resolution of the problem of providing a full color optical combiner for use in a Maxwellian view optical system is to utilize three PVH layers, one designed for blue light, another for green light, and a third for red light. Thus, one PVH layer is designed to deflect green light to the desired angle, another PVH layer is designed to deflect blue light to the same desired angle, and a third PVH layer is designed to deflect red light to the same desired angle. In such a three-layer optical combiner, each respective layer is designed to be wavelength-selective for the design-basis wavelength. That is, green light should deflect from the green PVH layer, but pass unaffected through the red and blue PVH layers. Thus, each PVH layer is designed to make its respective deflection bandwidth sufficiently narrow enough so that it only deflects light of the design-basis wavelength/color.
But there is a problem with this solution. To design a PVH with a narrow bandwidth of deflection wavelengths, the main parameter that is adjusted to obtain this is to lower the degree of index modulation. Xiao Xiang and Michael J. Escuti, “Numerical analysis of Bragg polarization gratings,” J. Opt. Soc. Am. B 36, D1-D8 (2019) have shown that with increasing birefringence, there is a monotonic increase in both the spectral bandwidth and the angle of acceptance. This leads to a fundamental problem related to the physics of these devices, namely that they cannot simultaneously be designed to have a sufficiently narrow spectral bandwidth to avoid cross-talk between the red, green, and blue PVH layers, while also maintaining high efficiency over a sufficiently wide range of incident light angles to accommodate the movement of the projector toward/away from the PVH in the Maxwellian view optical system framework.
Put another way, by reducing the degree of index modulation to achieve red, green, and blue PVH layers with sufficiently narrow spectral bandwidth, this reduction in index modulation unfortunately also reduces the angle of acceptance of the PVH layers (i.e., the range of angles over which high deflection efficiency is maintained). Hence, while the PVH layers may have sufficiently narrow spectral bandwidth to avoid unacceptable color crosstalk (e.g., the design-basis red PVH layer may have a sufficiently narrow bandwidth so that it does not also deflect green light, for example), the angle of acceptance is reduced to an extent that deflection efficiency is unacceptably lowered over the limits of the movement of the projector of the Maxwellian view optical system.
In embodiments disclosed herein, the problem of providing a wide angle full color optical combiner is solved by using a synergistic combination of a PVH the responds to one state of circularly polarized light that we refer to here as a CPVH device (or, in other embodiments, linear PVH devices) and polarization interference filters (PIFs). Such PIFs are used in astronomical spectrometers, and have the property of changing the polarization state of light from one state of polarization to an orthogonal state for a narrow range of wavelengths. Outside of that narrow range, light is passed without effect. In optical combiners disclosed herein, PIF devices are paired with CPVH devices to provide an optical combiner that simultaneously deflects red, green and blue light to the same angle, and can do this for a wide range in incident angles.
Astronomical PIFs are typically designed to switch linearly polarized light from one linear polarization to an orthogonal linear polarization. By contrast, PVH layers used in optical combiners for a Maxwellian view optical system are sometimes constructed using liquid crystal (LC) or other layers that manipulate circularly polarized light (referred to herein as CPVH devices or layers). Each CPVH layer deflects light within a spectral bandwidth of one circular polarization state and transmits (unaffected) light of the orthogonal polarization state. Therefore, a PIF that affects the state of linear polarization is not directly suitable for use with such CPVH layers. To ensure compatibility between the PIF and CPVH devices, the PIF is also designed to operate with circularly polarized light (referred to herein as a CPIF). The CPIF switches the circular polarization state of narrow range of incident wavelengths to the orthogonal polarization state, while not affecting the polarization state of light outside of the wavelength range.
With reference to
As the gaze of the person wearing the VR or AR headset or HUD device shifts by looking to the left or right, the eyeball 16 rotates. Thus, the pupil 14 of the eye 16 is not stationary.
With continuing reference to
With continuing reference to
As previously discussed, in such a three-layer optical combiner, each respective layer CPVH-R, CPVH-G, and CPVH-B is designed to be wavelength-selective for the corresponding design-basis wavelength, but should also transmit light of other colors without deflection. Thus, each CPVH layer should be designed with its respective deflection bandwidth sufficiently narrow enough so that it only deflects light of the design-basis color.
However, each respective layer CPVH-R, CPVH-G, and CPVH-B should also be designed to have a wide angle of acceptance. Particularly, with reference again to
Hence, the design constraints on the polarization volume holograms of the respective layers CPVH-R, CPVH-G, and CPVH-B are demanding, as both narrow spectral bandwidth and wide angle of acceptance are needed. As will be shown later herein, designing the polarization volume holograms to simultaneously satisfy both the narrow bandwidth and large angle-of-acceptance criteria is difficult or impossible.
With continuing reference to
As further disclosed herein, by way of the further included PIF layers CPIF-R, CPIF-B, and CPIF-G, the stringent narrow bandwidth requirement on the respective polarization volume hologram layers CPVH-R, CPVH-G, and CPVH-B can be relaxed since the polarization interference filters CPIF-R, CPIF-B, and CPIF-G provide for narrowband operation, and so the resulting optical combiner 10 can be designed to achieve both wide angle of acceptance and low chromatic aberration performance. The low chromatic aberration is achieved because the PVH layers are of sufficiently narrow spectral bandwidth to avoid color crosstalk, such as red light being erroneously deflected by the CPVH-G layer.
With reference now to
This problem is solved by the optical combiner 10 of
With reference now to
Notably, in the example of
A more detailed example follows.
Polarization volume holograms are similar to Bragg reflectors, but only respond to a defined polarization state of light. For a CPVH, that defined polarization of light is a circular polarization (e.g., LCP, or RCP, depending on the design). CPVH devices are designed with a spiraling optic axis (see
In this example, the CPVHs has nx=1.7 and ny=nz=1.5. The green PVH director is shown in
Polarization interference filters (PIFs) are wavelength selective filters that are based on the effect the filter has on polarized light. A particular type of PIF, here used as an example device, is what is referred to as a Solc filter. This device, used as a sensitive wavelength selective filter for spectroscopy, consists of a stack of “half-wave retarders” (HWRs). These half wave retarders are layers of a birefringent material partially characterized by the difference in the index of refraction measured using normally incident, linear polarized light, for polarization states parallel and perpendicular to the optic axis of the material. This difference in the index of refraction, measured in this way, is called the birefringence (Δn). They are further characterized as having the property of the value of the product of their thickness (d) with Δn to be equal to the wavelength of the design vacuum wavelength (λo) divided by two. That is: Δ2*d=λo/2.
In the particular example PIF used in the description of this example, a particular type of Solc filter is considered where the optic axis of the HWRs in the Solc filter stack are “rocking” between + and − values of a defined angle. The defined angle is related to the number of HWRs in the stack and is given by:
|p|=180/(4*N) (1)
where p is the angle and N is number of HWRs. The narrowness of the range of wavelengths of light affected by the Solc PIF is affected by N: the larger the value of N, the narrower the range of affected wavelengths. Again, what is meant by affected wavelengths, are those wavelengths that have their linear polarization state changed to an orthogonal state. Wavelengths are not affected by the PIF have their polarization state unchanged.
In the optical combiner 10, it is desired to combine the properties of the above described PIF and CPVH devices. However, PIF devices for astronomy applications are designed to affect the polarization state of linearly polarized light, whereas the CPVH is designed to affect light of a particular circular polarization state. Also, PIF devices have strong angular dependence. That is, that the range of wavelengths affected by the PIF is a function of the incident angle of light.
For the present example employing circularly polarized light, the property of the PIF to operate with linear polarized light is modified by the addition of two “quarter wave retarders” (QWRs). QWRs are known to be able to convert light from being linearly polarized to circularly polarized for a particular design wavelength. The design wavelength of the QWRs is fixed by the equation:
Δn*d=λo/4 (2)
These retarders, like the HWRs, have their optic axis perpendicular to the plane of the layers. The rotation angle of the optic axis of the QWRs about an axis perpendicular to the plane of the layers is +/−45 degrees to the axis of polarization axis of input or output linearly polarized light. The sign of the angle determines if the incident linear polarized light will be converted to LHC or RHC, or conversely if incident LHC (for example) will be converted to linearly polarized light with polarization axis at + or −45 degrees. An example design of the CPIF includes a stack of 14 retarders where each retarder has its optic axis in the plane of the stack. These retarders are specified by their value of Δn*d/λ=ΔΓ, and by the angle their optic axis makes with respect to a fixed axis in the plane of the stack, φ. Table 2 gives the values of each of the 14 retarders in an example CPIF stack
The property of the PIF to shift its range of affected wavelengths as a function of angle is modified by the substitution of typical uniaxial HWRs with biaxial versions. While there are several designs for wide angle retarders, in the example system considered here, Nz type retarders are modeled. Nz type retarders have the value of the index of refraction for light polarized along the normal to the plane of the film to be the average value of the two indices of refraction measured for light polarized in orthogonal directions in the plane of the film. There are other types of retarder designs that can be used to provide angular independent operation. For example, suitably designed multiple uniaxial retarders may be substituted in the place of an Nz type retarder.
The optical properties of the designed device were calculated with a numerical optical calculation method. Tables 3 and 4 show the percentage of light deflected to the desired angle (Main Deflection), and the percentage of light deflected to incorrect angles (cross talk). This is shown for the case of using the disclosed optical combiner 10 with CPIF-G, CPIF-B, and CPIF-R and for the case in which the CPIFs are omitted.
In Table 3, the main deflection is integrated from [−3.8,5.4] degree range. “main/cross ratio” in the second-to-last column of Table 3 refers to the ratio of the main deflection peak over the cross-talk peak. The transmitted beam is integrated from [40,90] degree range. In the table elements, “N/A” indicates “Not clearly observed”. In the design, as shown in
In Table 4, the main deflection is integrated from [5.4,13.8] degree range. “main/cross ratio” in the second-to-last column of Table 4 refers to the ratio of the main deflection peak over the cross-talk peak. The transmitted beam is integrated from [54.6,90] degree range. In the table elements, “N/A” indicates “Not clearly observed”. In the design, as shown in
The calculated results presented in Tables 3 and 4 indicate that the inclusion of the PIFs in the optical combiner 10 provide for the deflected angle for the three considered colors of light (red, green, and blue) to be the same, with very little crosstalk between the colors. Such crosstalk between colors manifests as undesirable chromatic aberration.
In the example of Tables 3 and 4, the light angle is varied by positive 16 degrees from the optimized angle. However, calculations over a negative 16 degrees also provided a good result, indicating the range of incident angles usable when incorporating the PIFs is greater than 30 degrees.
With reference to
It is also noted that in the embodiments of both
Furthermore, in either the design of
With reference to
In the illustrative designs, the CPVH layers of the optical combiner are arranged in the order: green CPVH-G, blue CPVH-B, and red CPVH-R, where the incident light impinges first on green CPVH-G. This order is beneficial since the human eye is most sensitive to green light. However, other orderings of the three colors are contemplated. Moreover, the specific center wavelength of the three colors can be different from those of the illustrative examples, and the three colors corresponding to the design-basis wavelength of the three CPVH's could be other than red, green, and blue.
It will be appreciated that various of the above-disclosed and other features and functions, or alternatives thereof, may be desirably combined into many other different systems or applications. It will be further appreciated that various presently unforeseen or unanticipated alternatives, modifications, variations or improvements therein may be subsequently made by those skilled in the art which are also intended to be encompassed by the following claims.
This application claims priority to U.S. Provisional Patent Application Ser. No. 63/428,294 filed Nov. 28, 2022. U.S. Provisional Patent Application Ser. No. 63/428,294 filed Nov. 28, 2022 is incorporated herein by reference in its entirety.
Number | Date | Country | |
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Parent | 63428294 | Nov 2022 | US |
Child | 18519643 | US |