This disclosure relates to light-emitting apparatus such as used for displays, and more particularly to a light-emitting apparatus that includes a light-emitting unit having a Fresnel optical system, and a display system that uses the light-emitting apparatus.
A conventional liquid crystal display (LCD) device generally includes a light-emitting apparatus and an LCD panel. Light emitted by the light-emitting apparatus passes through the LCD panel to generate an image that can be viewed by a viewer. One type of light-emitting apparatus used in LCD devices is a direct-lit backlight apparatus wherein the light directly illuminates the LCD panel from behind.
While such light-emitting apparatus for LCD displays can be made relatively efficient, there is ongoing need to improve their efficiency as well as their contrast as the performance requirements for LCD devices and display systems become more and more demanding.
An aspect of the disclosure is a light-emitting unit, comprising: at least one light source that emits divergent light; an optical system operably disposed relative to the light source, the optical system having a central lens axis, either a single lens element only or first and second spaced apart lens elements only, the optical system having: i) a lower surface adjacent and spaced apart from the light source and that receives the divergent light and forms therefrom first redirected light, and ii) an upper surface that receives the first redirected light and forms therefrom second redirected light; the lower surface having inner and outer regions defined by a normalized transition radius ρT in the range 0.6 ρT0.8, wherein the outer region includes first micro-prisms that both refract and totally-internally reflect the divergent light and wherein the inner region is smooth; and the upper surface having second micro-prisms that receive the first redirected light and form therefrom second redirected light that is substantially collimated and that has a radiant exitance that is uniform to within +/−8% of an average radiance exitance of the second redirected light.
In an example, the light-emitting unit includes a support structure that operably supports the light source and the optical system. Also in an example, the inner region R1 includes first micro-prisms, but these micro-prisms operate by refraction only.
Another aspect of the disclosure is a light-emitting unit that emits substantially collimated and substantially uniform light. The light-emitting unit includes: a support structure having a central support structure axis, an open front end that defines an output end, and an interior open at the open front end and defined by a bottom surface and at least one sidewall; a light source disposed on or adjacent the bottom surface and that emits divergent light; a single monolithic lens element arranged in the support structure interior, the lens element having: i) a central lens axis; ii) a lower surface adjacent and spaced apart from the light source and that receives the divergent light and forms therefrom first redirected light; and iii) an upper surface that resides at or adjacent the output end and that receives the first redirected light and forms therefrom second redirected light. The lower surface has a first microstructure that includes first and outer regions that are defined by a normalized transition radius ρT in the range 0.6ρT0.8, wherein the first microstructure within the inner region only refracts the divergent light while the first microstructure within the outer region both refracts and totally-internally reflects the divergent light to form the first redirected light. The upper surface has a second microstructure that receives the first redirected light and forms therefrom second redirected light that is substantially collimated and that has a radiant exitance that is uniform to within +/−8% of an average radiance exitance of the second redirected light.
Another aspect of the disclosure is a method of forming substantially collimated and substantially uniform light beam from at least one light source that emits divergent light by using a single lens element having a monolithic body with upper and lower surfaces, comprising: receiving the divergent light at the lower surface that includes inner and outer regions defined by a normalized transition radius ρT in the range 0.6 ρT0.8, and having a first microstructure in at least the outer region; forming from the divergent light first redirected light by only refracting the divergent light in the inner region and by refracting and totally internally reflecting the divergent light in the outer region, wherein the first redirected light travels through the monolithic body to the upper surface; and forming from the first redirected light second redirected light at the upper surface using a second microstructure thereon that is refractive only, and wherein the second redirected light defines the light beam and is substantially collimated and has a radiant exitance that is uniform to within +/−8% of an average radiance exitance of the second redirected light. In an example of the method, the inner region of the lower surface also includes the first microstructure. In an example, the first and second microstructures respectively comprise first and second micro-prisms.
Another aspect of the disclosure is a light-emitting apparatus that includes an array of the light-emitting units as disclosed herein.
Another aspect of the disclosure is a display device viewable by a viewer in a viewing space and that includes the light-emitting apparatus, an image display unit operably arranged immediately adjacent the light-emitting apparatus, and a contrast-enhancement unit operably arranged immediately adjacent the image display unit.
Additional features and advantages will be set forth in the following detailed description, and in part will be readily apparent to those skilled in the art from that description or recognized by practicing the embodiments as described herein, including the detailed description that follows, the claims, as well as the appended drawings.
It is to be understood that both the foregoing general description and the following detailed description are merely exemplary, and are intended to provide an overview or framework to understanding the nature and character of the claims. The accompanying drawings are included to provide a further understanding, and are incorporated in and constitute a part of this specification. The drawings illustrate one or more embodiment(s), and together with the description serve to explain principles and operation of the various embodiments.
Reference is now made in detail to exemplary embodiments which are illustrated in the accompanying drawings. Whenever possible, the same reference numerals will be used throughout the drawings to refer to the same or like parts. The components in the drawings are not necessarily to scale, emphasis instead being placed upon illustrating the principles of the exemplary embodiments.
In the discussion below, the variable “r” represents a radial coordinate measured perpendicular to the lens axis AL of optical system 218. The parameter “R” represents the radius of the optical system 218 or lens element 220 or lens elements 220U and 220L of the optical system. The variable p represents a normalized radial coordinate and is defined as p =r/R or ρ=x/X, where “X” represents the x-dimension of the optical system.
Also in the discussion below, for ease of explanation, for certain light such as light 210, light 211 and light 212 introduced and discussed below, such “light” is also referred to as “light beam” or “light ray” or “light rays,” depending on the context of the discussion.
In the discussion below, the term “substantially collimated” means in an example that at least 80% of the light rays of outputted light beam 212 have an angular divergence of no more than ±5° in at least one plane, not including light rays that are associated with scattered light. In some cases, reference to collimated light can include light that is collimated only in one plane, such as associated with a cylindrical optical system, while in other cases it can include collimation in two orthogonal planes, such as associated with a non-cylindrical (e.g., spherical) optical system.
Display Device
The display device 10 further includes an image display unit 20 having front and back sides 22 and 24 and which is arranged adjacent the front side 102 of light-emitting apparatus 100. The display device 10 also includes a contrast-enhancement unit 30 having front and back sides 32 and 34 and which is arranged adjacent the front side 22 of image display unit 20. In an example, display device 10 includes a transparent cover 50 having an upper surface 52 and arranged adjacent the upper surface 32 of the contrast enhancement device 30. In this configuration, light-emitting apparatus 100 serves as a direct-lit backlight.
A viewer 12 is shown viewing display device 10 from a viewing space 14 adjacent the upper surface 52 of the transparent cover. In an example, viewing space 14 includes ambient light 16 that is incident upon display device 10.
It will be understood that adjacent components of display device 10 can be operably arranged relative to each other in a number of ways, including adhered to each other (e.g., by an optically clear adhesive), secured within a bezel or frame (with or without an air gap therebetween), or coupled by another suitable coupling mechanism known and used in the art.
The image display unit 20 is positioned such that collimated light 212 emitted from light-emitting apparatus 100 is incident on the image display unit. The image display unit 20 comprises an array of display pixels 26. For example, the array of display pixels 26 is two-dimensional (2D) with suitable x- and y-dimensions (e.g., width and length) to display an image of a desired size. Each display pixel 26 comprises a light valve configured to control the passage of collimated light 212 therethrough to form display light 214.
In an example, image display unit 20 comprises an LCD panel, and the array of display pixels 26 comprises an array of LCD cells. Each LCD cell is configured to open and close to control the passage of collimated light 212 therethrough. In some embodiments, each display pixel 26 is divided into a plurality of sub-pixels (not shown), each associated with a dedicated display color component (e.g., red, green, or blue), so that color images can be generated by using adjacent red, green, and blue sub-pixels. In some embodiments, collimated light 212 passes through display pixels 26 of image display unit 20 so that display light 214 comprises corresponding image pixels 216 that define a viewable image that can be viewed by viewer 12. In some embodiments, image display unit 20 comprises one or more polarizing layers, e.g., input and output polarizers (not shown).
Contrast-enhancement unit 30 is positioned to receive the display light 214 from image display unit 20. In some embodiments, contrast-enhancement unit 30 is configured as a contrast-enhancement sheet. The contrast-enhancement sheet can be substantially flat or planar. Alternatively, the contrast-enhancement sheet can be non-planar. For example, the contrast-enhancement sheet can be curved, rolled (e.g., into a tube), bent (e.g., at one or more edges), or formed into another non-planar configuration. In an example, contrast-enhancement unit 30 includes at least one transparent substrate 31 that defines the upper and lower surfaces 32 and 34 of the contrast-enhancement unit. In an example, substrate 31 has a thickness TH31 in the range 50 μm≤TH31≤3 mm. In an example, the upper surface 32 of substrate 31 can have a surface relief diffuser texture (not shown), which can cause additional spreading of display light 214 passing through apertures 40 (introduced and discussed below), as well as imparting a texture to light-absorbing layer 38 that can facilitate absorption of ambient light 16. The upper surface 32 of substrate 31 can also have microstructure (not shown) that, when coated with light-absorbing layer 38, acts to trap ambient light 16 and further reduce ambient light back-reflectance.
In an example, the lower surface 34 of contrast-enhancement unit 30 supports an array of optical elements 36 while the upper surface 32 supports a light-absorbing layer 38 that includes an array of apertures 40. The apertures 40 are axially aligned with optical elements 36. For example, each optical element 36 is axially aligned with at least one aperture 40. In an example, apertures 40 have a width in the range 5μm≤wA≤500 μm. In examples, apertures 40 can be formed in light-absorbing layer 38 using a lithography process or an ablation process. In an example, light-absorbing layer 38 has a thickness TH38 in the range 0.5 μm≤TH38≤100 μm. The apertures 40 can have any reasonable shape, including round, elliptical, square and rectangular.
In some embodiments, optical elements 36 comprise microlenses. The microlenses can be configured as cylindrical or acylindrical lenticular lenses, spherical lenses, aspherical lenses, another suitable lens shape, or combinations thereof. For example, in some embodiments, the microlenses are configured as lenticular lenses extending at least partially across a width and/or a length of the contrast-enhancement unit 30. In other examples, the microlenses are configured as spherical lenses dispersed about the width and/or length of the contrast-enhancement unit 30 (e.g., in a 2D array). Additionally, or alternatively, optical elements 36 have a circular shape, a rectangular shape, another suitable shape, or combinations thereof. In an example, optical elements have a width wE in the range 50 μm≤wE≤500 μm.
The display light 214 that passes through image display unit 20 enters contrast-enhancement unit 30 at lower surface 34 and exits the contrast-enhancement unit at upper surface 32 as contrast-enhanced light 214CE. The contrast-enhanced light 214CE includes contrast-enhanced image pixels 216CE. The contrast-enhanced light 214CE passes into viewing space 14 (e.g., through transparent cover 50) and defines a viewable image for viewing by viewer 12.
In some embodiments, image display unit 20 and contrast-enhancement unit 30 are arranged such that an optical element 36 focuses an image pixel 216 of display light 214 on a corresponding aperture 40 of the contrast-enhancement unit. For example, the plurality of image pixels 216 transmitted by image display unit 20 is focused by the array of optical elements 36 on the array of apertures 40 so that the image pixels 216 pass through the apertures in the light-absorbing layer 38 to form contrast-enhanced light 214CE made up of contrast-enhanced pixels 216CE that is viewable by viewer 12.
Ambient light 16 (e.g., from the sun, room lighting, or another light source) in viewing space 14 can be incident upon the upper surface of contrast-enhancement unit 30, e.g., through transparent cover 50. In other words, ambient light 16 from outside display device 10 can be incident upon the display device on its uppermost surface. The light-absorbing layer 38 absorbs at least a portion of such ambient light 16 that falls on the light-absorbing layer outside of apertures 40. Such absorption of ambient light 16 can increase the contrast of display device 10 because the absorbed ambient light does not interfere with the contrast-enhanced light 214CE emitted by contrast-enhancement unit 30 as a viewable image.
Accordingly, it can be beneficial for the area occupied by apertures 40 to be relatively small. In some embodiments, apertures 40 occupy at most about 50%, at most about 40%, at most about 30%, at most about 20%, at most about 10%, at most about 5%, or at most about 1% of the surface area of upper surface 32 of light-absorbing layer 38. Thus, in an example, most of the surface area of light-absorbing layer 38 is occupied by light absorbing material to absorb ambient light 16 and increase the contrast of display device 10.
Light-Emitting Apparatus
The light-emitting unit 110 includes a light source 200, which in an example can be arranged on or adjacent bottom surface 164 of interior 151 of support structure 150 and along the support structure central axis AH. The light source 200 has an upper surface 202 from which light 210 is emitted. The light source 200 can be a light-emitting diode (LED), or an array of LEDs. As shown in the close up inset, an example light source 200 can comprise one or multiple light-emitting elements 204, such as R, G and B light-emitting elements that respectively emit red, green and blue light.
The emitted light 210 can have a broad emission distribution (e.g., Lambertian). In another example, light source 200 can include a small lens 206 that serves to reduce the divergence of light 210 upon leaving the light source, i.e., causes the light to have a narrower emission distribution than if the microlens element were absent. The emitted light 210 is generally divergent, with the amount of divergence measured in one example by a divergence half-angle θD.
The light-emitting unit 110 also includes the aforementioned Fresnel optical system (hereinafter, “optical system”) 218 that is spaced apart from light source 200. In an example, optical system 210 is operably disposed within interior 151 of support structure 150. In an example, optical system 218 consists of a single lens element 220 having a body 221 of refractive index n L, an upper surface 222, an opposite lower surface 224 and an outer edge 226. The upper and lower surfaces 222 and 224 are generally parallel to one another and are generally planar, though each includes respective microstructures 232 and 234 (see top and bottom close-up insets in
The optical system 218 is arranged within interior 151 such that lower surface 224 is adjacent but spaced apart from the upper surface 202 of the light source 200 by an axial distance DS. In one example, distance DS is in the range 2 mm≤DS≤25 mm while in another example is in the range 5 mm≤DS 15 mm. In an example, the upper surface 222 of optical system 218 is substantially co-planar with the output end 152 of support structure 150. Further in an example, outer edge 226 of lens element 220 resides immediately adjacent if not in intimate contact with sidewall inner surface 162 of support structure 150. The optical system 218 thus defines an air space 154 within interior 151 between upper surface 202 of light source 200 and the lower surface 224 of lens element 220.
The optical system 218 also has a lens central axis (“lens axis”) AL, an axial length LA measured between the upper and lower surfaces 222 and 224, and a width or clear aperture CA. In an example, the axial length LA is in the range 5 mm≤LA≤20 mm and the clear aperture CA is in the range 12 mm≤CA≤100 mm. In an example, the lens axis AL and the support structure central axis AH are co-axial. The lens element 200 also has a radius R measured radially outward from the lens axis AL, so that CA=2R, or R=CA/2. In an example where optical system 218 is cylindrical, R=X and lens axis AL lies in a central plane. In an example, the lens axis AL is also the optical system axis.
In an example, lens element 220 has a body 221 that is monolithic, i.e., made of a single isotropic material, so that the refractive index nL is substantially constant within the body. In such an example, the axial length LA of optical system 218 is equal to the axial thickness of body 221 of lens element 220. In another example, lens element 220 can be made of more than one material, e.g., using layers of different material with different refractive indices nL1, nL2, etc. that are laminated together. Further in an example, there is no air space within body 221 between the upper and lower surfaces 222 and 224. In an example, body 221 can have a gradient refractive index, i.e., wherein nL varies as a function of a radial coordinate r (or normalized coordinate ρ) as measured outward from the lens axis AL. In some cases, an optical system 218 consisting of a single monolithic lens element 220 is advantageous because the lens element can be formed in a single molding process in a manner that results in good axial alignment of the upper and lower surfaces 222 and 224.
In another example illustrated in
In an example, the material that makes up body 221 of lens element 220 (or upper and lower lens elements 220U and 220L) is a thermoplastic material or a polymer, such as acrylic, polystyrene, or polycarbonate. In another example, body 221 is made of glass. Thus, in an example such as shown in
As noted above and as shown in the close-up insets of
The optical system 218 can be considered as a type of double-sided Fresnel optical system. In the single-lens embodiment of optical system 218, the single lens element 220 is a double-sided Fresnel lens element. However, unlike a conventional Fresnel lens, the micro-prisms 242 and 244 are not based on dividing up a simple spherical surface or even a simple aspherical surface. In fact, there is no usable equivalent single-surface counterpart to either of the upper or lower surfaces 222 and 224 because such surfaces would result in an unduly large lens thickness (e.g., twice the axial length LA) and in certain cases have a surface topography that would block certain regions of the surface from being illuminated.
As described in greater detail below, light 210 is mapped or redirected by lower surface 224 so that the light leaving the upper surface 222 is substantially uniform, i.e., it is not brighter in the center and dimmer at the edges, but instead has a substantially constant radiant exitance. In an example, the radiant exitance of collimated light 212 leaving upper surface 222 is uniform to within +/−10% of the average radiant exitance (e.g., the mean radiant exitance), and further in an example is uniform to within +/−8% of the average radiant exitance and even further in an example is uniform to within +/−4% of the average radiant exitance.
In another example of microstructure 234, the portion of lower surface 224 in inner region R1 is smooth or continuous, i.e., contains no micro-prisms 244. In an example, the smooth or continuous surface 224 in inner region R1 can have a curvature (and in particular a concave curvature) that is equivalent to the microstructure 234 that would otherwise be in this region. This is possible in inner region R1 because the slopes of the micro-prisms 234 in this region are not as large as the slopes in outer region R2. Thus, in an example of optical system 218 (and in a particular example, lens element 220), lower surface 224 includes micro-prisms 244 only in outer region R2, with these prisms operating using both refraction and TIR, and with the transition radius ρT that defines the inner and outer regions R1 and R2 being defined as discussed immediately above for the case where the inner region R1 also includes micro-prisms 244.
The redirected light 211 that travels through lens body 221 does not arrive at the upper surface as collimated light. Accordingly, microstructure 232 of upper surface 222 is configured to receive first redirected light 211 and form second redirected light 212. The second redirected light 212 is substantially collimated and substantially uniform and exits the front or output end 152 of support structure 150. The second redirected light 212 thus travels substantially in the z-direction, i.e., substantially parallel to lens axis AL, and so is also referred to herein as “collimated light” 212.
In an example, micro-prisms 242 of microstructure 232 on upper surface 222 of optical system 218 are configured to all be refractive only, i.e., none operate using TIR. Further, microstructure 232 is configured so that upper surface 222 has nearly zero optical power in the immediate vicinity of lens axis AL (e.g., within a normalized radius of ρL<0.15·ρ) since light 210 emitted by light source 200 near the lens axis (i.e., paraxial light) is already traveling generally in the z-direction, so that the corresponding first redirected light 211 also generally travels in the z-direction.
Likewise, upper surface 222 has nearly zero optical power near the lens edge 226 (e.g., within a normalized radius range ρE in the range 0.85≤ρE≤1) since the light 210 that is mapped to locations near the lens outer edge 226 as first redirected light 211 is also substantially collimated by lower lens surface 224. Thus, microstructure 232 of upper surface 222 is configured have the most optical power in an annular region AR between inner and outer normalized radii ρ1 and ρ2, wherein ρ1 is in the range from 0.1≤ρ1≤0.2 and ρ2 is in the range from 0.8≤ρ2≤0.9. In an example, the normalized annular width of annular region RA is WA=ρ2−ρ1 and is in the range 0.6≤WA≤0.8 (see
It is noted that microstructures 232 and 234 can be defined in a single direction, i.e., the y-direction or the x-direction, or can defined in two directions, i.e., both the x-direction and the y-direction. In the former case, the microstructure is linear while in the latter case the microstructure is two-dimensional, e.g., circular. Thus, in some cases as noted above, collimated light 212 may be collimated in a single plane (e.g., the x-z plane or the y-z plane) while in other cases it may be collimated in both the x-z and the y-z planes. Also, microstructures 232 and 234 and the associated micro-prisms 242 and 244 can be defined by grooves 232G and 234G formed in the upper and lower surfaces 222 and 224 respectively, using techniques known in the art.
As noted above, lower surface 224 is configured via microstructure 234 therein to redirect the non-uniform light rays 210 incident thereon to form first redirected light 211 that travels to upper surface 222 in a manner that results in a substantially uniform light distribution at this surface but not a collimated light distribution. The spacing of the light rays 211 at upper surface 224 is denoted SU(r). In this idealized example, the light ray spacing SU(r) is substantially constant with radius, i.e., SU(r)=SU, with each light ray 211 representing the same amount of radiant exitance. This substantially constant spacing between the light rays 210 means that the light 211 at upper surface 222 is substantially uniform (i.e., has substantially uniform radiant exitance).
The upper surface 222 is configured via microstructure 232 to collimate first redirected light 211 to form second redirected light, i.e., collimated light 212. Thus, in this idealized example, the lower surface 224 can be said to “map” light 210 as redirected light 211 that arrives at evenly-spaced locations on upper surface 224, which in turn is configured to receive the evenly spaced but non-collimated light rays 211 to form therefrom collimated light (rays) 212. In order to accomplish this mapping, the lower surface 224 is formed to have the aforementioned inner and outer regions R1 and R2, wherein the inner region R1 includes only refractive microstructure 234 while the outer region includes both refractive and TIR microstructure.
Thus, optical system 218 of light-emitting unit 110 is not simply a collimating lens but also is light uniformizer, i.e., it includes a “built in” light uniformizing property, which in conventional light-emitting element needs to be performed with a separate light-uniformizing device or element, such as a diffuser or light homogenizer.
The collector optical system 208 as shown in
Optical System Design Considerations
The design of the optical system 218 involves a number of considerations and in an example involves a number of steps. One design consideration involves the choice of lens material and the thickness of the lens material. As noted above, an example lens material is a thermoplastic such as acrylic. This choice of material allows for optical system 218 to be mass-produced with compression or injection molding methods.
The thickness of the at least one lens element 220 is a strong function of the amount of mapping that must take place at lower surface 222 to achieve the desired output uniformity for light 212, with larger amounts of mapping requiring greater lens thicknesses. A rough guide for selecting the lens element thickness is to estimate the largest angle of first redirected light 211 inside the lens element 220 and divide this angle by two. In an example where the divergence angle of light 211 is at most about 25° with respect to the lens axis AL, an example value for the lens element thickness is about 12 mm.
Another step in the design process includes estimating the normalized transition radius ρT where the microstructure 234 of lower surface 224 changes from being refractive to being both refractive and TIR. To a first approximation, this transition radius ρT is where the flux from the source outside of the transition plane is equal to the flux from the source inside of the transition plane, just above lower surface 224 and just inside body 221. This means that the transmittance of lower surface 224 must also be taken into account. As noted above, an example location of the transition radius ρT is in the range 0.6≤ρT≤0.8, or in the range 0.65≤ρT≤0.75.
Another step in the design process makes an idealized assumption of a constant transmittance over the lower surface 224. Given this assumption, a design goal of the lower surface 224 is to produce uniform radiant exitance at upper surface 222, as shown in
Computer modeling of optical system 218 is then performed using ray tracing to determine the degree of non-uniformity present at upper surface 222 based on first redirected light rays 211. Based on the calculated non-uniformity, the slopes of the micro-prisms 244 of lower surface 224 are adjusted, and the process repeated until the desired uniformity is achieved.
After a good uniformity is obtained at upper surface 222 (or just below this surface), then good uniformity may also be made for light 212 outputted at the upper surface (e.g., at a plane just above this surface), while at the same time such uniform light also may be collimated. Given knowledge of the mapping function (i.e., the angle of incidence) of the first redirected light 211 incident on the upper surface 222 at each micro-prism 242 thereon, the microstructure 232 can be incorporated into the computer modeling. Because the slopes of the micro-prisms 242 of microstructure 232 vary across the upper surface 222, the transmittance will vary as well and the output light will become non-uniform.
After the non-uniformity of the outputted light 212 is characterized, the slopes of the micro-prisms 244 of microstructure 234 of lower surface 224 are adjusted, and another ray tracing is performed. If the collimation of the output light 212 is reduced, then the slopes of micro-prisms 242 of microstructure 232 of upper surface 222 are adjusted and another ray tracing performed. This cycle of adjusting the slopes of micro-prisms 242 and 244 is repeated until the desired degree of output uniformity and collimation in the output beam 212 is obtained.
By way of example, the slopes S of the refracting micro-prisms 244 of lower surface 224 can be described by an eighth-order polynomial having the following coefficients:
where the slope S (in degrees) is given by S=LSR0+LSR1ρ+LSR2ρ2+LSR3ρ3 . . . +LSR8ρ8, where ρ represents the magnitude of the normalized radial coordinate and lies between 0 and 1.
Likewise, the slopes of the refractive and TIR micro-prisms 244 of lower surface 224 can be described by a third-order polynomial having the following coefficients:
where the slope S (in degrees) is S=LSR0+LSR1ρ+LSR2ρ2+LSR3.
Also in an example, the slopes S of the micro-prisms 242 of upper surface 222 can be described by a fourteenth-order polynomial having the following coefficients:
where the slope S (in degrees) is S=LSR0+LSR1ρ+LSR2ρ2+LSR3 . . . +US14ρ14.
In an example, the design of lower surface 224 of optical system 218 takes into account the emission profile of light source 200, the surface area of micro-prisms 244, light lost due to draft surfaces, and the Fresnel reflection and transmittance of the micro-prisms 244, all of which can impact uniformity. As noted above, the emission profile need not be uniform, and as long as it can be adequately characterized, it can be accounted for when designing optical system 218 to output a substantially collimated and substantially uniform light beam 212.
It will be apparent to those skilled in the art that various modifications and variations can be made without departing from the spirit or scope of the disclosure. Accordingly, the disclosure is not to be restricted except in light of the attached claims and their equivalents.
This application claims the benefit of priority to U.S. Provisional Application No. 62/251364, filed Nov. 5, 2015, the content of which is incorporated herein by reference in its entirety.
Filing Document | Filing Date | Country | Kind |
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PCT/US16/60266 | 11/3/2016 | WO | 00 |
Number | Date | Country | |
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62251364 | Nov 2015 | US |