This application is related to the following co-pending applications: U.S. application Ser. Nos. 12/803,805; 12/806,118, which was issued as U.S. Pat. No. 8,773,336; Ser. No. 13/970,944, which was issued as U.S. Pat. No. 9,237,620; Ser. Nos. 13/970,964; 13/970,990; 14/314,530; 14/314,580, which was issued as U.S. Pat. No. 9,392,663; and Ser. No. 14/471,081—each of which is hereby incorporated by reference in its entirety.
1. Field of the Invention
The invention relates to the addition of color mixing optics and optical feedback to produce uniform color throughout the light beam produced by a multi-color LED illumination device.
2. Description of Related Art
Multi-color LED illumination devices (also referred to herein as light sources, luminaires or lamps) have been commercially available for many years. For example, Cree has marketed a variety of primarily indoor downlights, troffers, and other form factor luminaires that combine white and red LEDs to provide higher color rendering index (CRI) and efficacy than conventional white LEDs alone can provide.
Philips Color Kinetics has marketed many multi-color LED products, however, most are restricted to indoor and outdoor saturated wall-washing color and color changing effects. Recently, Philip's introduced the “Hue” product, which has an A19 form factor that provides colored, as well as white light. This product combines blue, red, and phosphor converted LEDs to produce saturated blue and red light, pastel green, and white light that can be controlled by a computer or smartphone. The phosphor converted LEDs produce a greenish light, but cannot produce a saturated green, like that of a red/green/blue/white (RGBW) LED combination. Since the Hue product has an A19 form factor, color mixing is achieved with simple diffusers arranged in the output light path above the LED package. Color accuracy in the Hue product is susceptible to LED aging, since it does not use optical feedback to compensate for the change in luminance over time for each of the differently colored LEDs.
Conventional color mixing optics typically use light guides, which tend to be large and inefficient. The rule of thumb for a light guide is that it should be about 10 times longer than the dimensions of the multi-color light source. A typical 90 Watt halogen bulb produces about 1200 lumens. An array of many large LEDs is necessary to produce such output light. For instance, 1200 lumen output LED arrays from Cree are about 5-6 mm in diameter. If such a light source comprised multi-colored LEDs, a 50-60 mm light guide would be needed to properly mix the colors. Considering that the light beam needs to be shaped after color mixing, the dimensions needed for a light guide become prohibitive.
No products currently exist on the market that provide both accurate white light along the black body curve and saturated colors. Further, no such products exist in a PAR form factor that provide uniform color throughout the standard 10, 25, and 40 degree beam angles. As such, a need exists for improved techniques to produce full color gamut LED light sources that do not change over time and that have uniform color throughout the entire light beam.
Illumination devices with improved color mixing optics and methods are disclosed herein for mixing the colors produced by a multi-colored LED emitter module to produce uniform color throughout the entire beam angle of the output light beam. Embodiments disclosed herein include a unique arrangement of multi-color LEDs in an emitter module, a unique exit lens with different patterns of lenslets formed on opposing sides of the lens, and other associated optical features that thoroughly mix the different color components, and as such, provide uniform color across the output beam exiting the illumination device. Additional embodiments disclosed herein include an arrangement of photodetectors within the primary optics structure of the LED emitter module that ensure the optical feedback system properly measures the light produced by all emission LEDs. As described herein, various embodiments may be utilized, and a variety of features and variations can be implemented as desired, and related systems and methods can be utilized as well. Although the various embodiments disclosed herein are described as being implemented in a PAR38 lamp, certain features of the disclosed embodiments may be utilized in illumination devices having other form factors to improve the color mixing in those devices.
According to one embodiment, an emitter module of an illumination device may include a plurality of emission LEDs that are mounted onto a substrate and encapsulated within a primary optics structure. In a preferred embodiment, the plurality of emission LEDs are electrically coupled as N chains of serially connected LEDs with N LEDs in each chain, and each chain may be configured to produce a different color of light. In some embodiments, the colors of LEDs included within the multi-color emitter module may be selected to provide a wide output color gamut and a range of precise white color temperatures along the black body curve. For example, chains of red, green, and blue (RGB) LEDs can be used to provide saturated colors, and the light from such RGB chains can be combined with a chain of phosphor converted white LEDs to provide a wide range of white and pastel colors. In one embodiment, each of the four RGBW LED chains may comprise four LEDs to provide sufficient lumen output, efficacy, and color mixing; however, the invention can be applied to various numbers of LED chains, combinations of LED colors, and numbers of LEDs per chain without departing from the scope of the invention. As described in more detail below, the illumination device improves color mixing, at least in part, by arranging the multi-color emission LEDs in a unique pattern.
According to one embodiment, the plurality of emission LEDs may be arranged in an array of N×N LEDs, where N is the number of LED chains and the number of LEDs included within each chain. In order to improve color mixing, the serially connected LEDs within each chain may be spatially scattered throughout the array, such that no two LEDs of the same color are arranged in the same row, column or diagonal. In the above example of four chains of four LEDs per chain (e.g., four red LEDs, four green LEDs, four blue LEDs and four white LEDs), the different colored LEDs are arranged in a four by four square, such that no two LEDs of the same color exist in the same row, column, or diagonal. It is generally desired that the LEDs be placed together as tightly as possible, and that the LED colors with the biggest difference in spectrum (e.g., red and blue) be grouped closer together.
It is worth noting that the inventive features described herein are not limited to a multi-colored LED emitter module having four chains of four LEDs per chain, and may be applied to a multi-colored LED emitter module including substantially any number of chains with substantially any number of LEDs per chain. For example, one alternative configuration may include four red, four blue, and eight phosphor converted LEDs for an application with higher lumen output, but smaller color gamut. In such a configuration, the additional four phosphor converted LEDs may replace the four green LEDs. Another alternative configuration may include chains of four red, four blue, four green and four yellow LEDs. Yet another alternative configuration may include chains of three red, three blue and three green LEDs. The number of LED chains, the number of LEDs per chain, and the combination of LED colors may be chosen to provide a desired lumen output and color gamut.
According to another embodiment, the plurality of emission LEDs within the emitter module may be spatially divided into N blocks, wherein N is an integer value greater than or equal to three (3). Each of the N blocks may consist of N LEDs, wherein each LED is configured for producing a different color of light. The N differently colored LEDs within each block are preferably arranged to form a polygon having N sides. For example, if N=3, the three differently colored LEDs (e.g., RGB) within each block are arranged to form a triangle. If N=4, the four differently colored LEDs (e.g., RGBW or RGBY) within each block are arranged to form a square.
The N blocks of LEDs may be arranged in a pattern on the substrate of the emitter module to form an outer polygon having N sides and an inner polygon having N sides. If N=3, the inner and outer polygons form triangles, and if N=4, the inner and outer polygons form squares. Within the outer polygon, the N blocks of LEDs are arranged on the substrate, such that: one LED within each block is located on a different vertex of the inner polygon, and the remaining LEDs within each block are located along the N sides of the outer polygon. To improve color mixing within the emitter module, the N blocks of LEDs are arranged, such that the LEDs located on the vertices of the inner polygon are each configured to produce a different color of light, and the LEDs located along each side of the outer polygon are also each configured to produce a different color of light. Such a configuration spatially scatters the differently colored LEDs across the substrate to improving color mixing within the illumination device.
According to another embodiment, the plurality of emission LEDs are mounted onto a ceramic substrate, such as aluminum nitride or aluminum oxide (or some other reflective surface), and encapsulated within a primary optics structure. As noted above, the plurality of emission LEDs may be arranged in a pattern on the substrate so as to form an outer polygon having N sides, where N is an integer value greater than or equal to 3. In one embodiment, the primary optics structure encapsulating the emission LEDs may be a silicone hemispherical dome, wherein the diameter of the dome is substantially larger (e.g., about 1.5 to 4 times larger) than the diameter of the LED array to prevent occurrences of total internal reflection. The dome may be generally configured to transmit a majority of the illumination emitted by the emission LEDs. In some embodiments, the dome may be textured with a slightly diffused surface to increase light scattering and promote color mixing, as well as to provide a slight increase (e.g., about 5%) in reflected light back toward photodetectors, which are also mounted on the substrate of the emitter module and encapsulated within the dome.
According to another embodiment, a plurality of photodetectors may be mounted on the substrate (e.g., a ceramic substrate) and encapsulated within the primary optics structure (e.g., within the hemispherical dome). The photodetectors may be silicon diodes, although LEDs configured in a reverse bias may be preferred. According to one embodiment, a total of N photodetectors may be mounted on the substrate and arranged around a periphery of the outer polygon having N sides, such that the N photodetectors are placed near a center of the N sides of the outer polygon. In one example, four photodetectors (detector LEDs or silicon diodes) may be mounted on the substrate, one per side, in the middle of the side, and as close as possible to the square N×N array of emission LEDs. In another example, three photodetectors (detector LEDs or silicon photodiodes) may be mounted on the substrate, one per side, near the middle and as close as possible to each side of the triangular pattern of 3 blocks of 3 differently colored LEDs.
In addition to having a desired arrangement on the substrate, the plurality of photodetectors are preferably connected in parallel to receiver circuitry of the illumination device for detecting a portion of the illumination that is emitted by the emission LEDs and/or reflected by the dome. In general, the receiver circuitry typically may comprise a trans-impedance amplifier that detects the amount of light produced by each emission LED chain individually. Various other patents and patent applications assigned to the assignee, including U.S. Publication No. 2010/0327764, describe means to periodically turn all but one emission LED chain off so that the light produced by each chain can be individually measured. This invention describes the placement and connection between the photodetectors to ensure that the light for all similarly colored emission LEDs, which are scattered across the substrate, is properly detected.
Any photodetector in a multi-color illumination device with optical feedback should be placed to minimize interference from external light sources. This invention places the photodetectors within the primary optics structure (e.g., the silicone dome) for this purpose. The four photodetectors are connected in parallel to sum the photocurrent produced by each photodetector, which minimizes any spatial variation in photocurrents caused by scattering the similarly colored emission LEDs across the substrate. According to one embodiment, the photodetectors are preferably red or yellow LEDs, but could comprise silicon diodes or any other type of light detector. The red or yellow detector LEDs are preferable since silicon diodes are sensitive to infrared as well as visible light, while the LEDs are sensitive to only visible light.
LED or silicon photodetectors produce current that is proportional to incident light. Such current sources easily sum when the photodetectors are connected in parallel. When connected in parallel, the N photodetectors function as one larger detector, but with much better spatial uniformity. For instance, with only one photodetector, light from one LED in a given chain may produce much more photocurrent than light from another LED in the same chain. As the emission LEDs age and the light output decreases, the optical feedback algorithm compensates for changes in the emission LED that induces the largest photocurrent simply due to LED and detector placement. N photodetectors connected in parallel resolves this issue.
In addition to the unique pattern in which the multi-colored LED chains are scattered about the emitter array, the advantageous placement of parallel coupled LED photodetectors within the primary optics structure, and the optionally diffused dome, additional embodiments disclosed herein provide unique secondary optics to provide further color mixing and beam shaping for the illumination device. According to one embodiment, such secondary optics may include an exit lens with substantially different arrays of lenslets formed on opposing sides of the lens, and a parabolic reflector having a plurality of planar facets (or lunes) that produce uniform color in the light beam exiting the illumination device and partially shape the light beam.
According to one example, a unique exit lens structure may comprise a double-sided pillow lens having an array of lenslets formed on each side of the lens, wherein the array of lenslets formed on an interior side of the exit lens is configured with an identical aperture shape, but different dimensions (e.g., size, curvature, etc.) than the array of lenslets formed on an exterior side of the exit lens. Such an exit lens breaks up the light rays from each individual emission LED and effectively randomizes the light rays to promote color mixing. The lunes in the parabolic reflector provide further randomization and color mixing, as well as beam shaping.
In some embodiments, the identical aperture shape of the lenslets formed on the interior and exterior sides of the exit lens may be a polygon having N sides, wherein N is an even number greater than or equal to four (4) (e.g., a square, hexagon, octagon, etc.). A polygon with an even number of straight sides is desirable, in some embodiments, since it provides a repeatable pattern of lenslets. However, the aperture shape is not limited to a polygon, and may be substantially circular in other embodiments.
The exit lens is preferably designed such that the lenslets formed on the interior side are substantially larger than the lenslets formed on the exterior side of the exit lens. As light rays from the emitter module enter the exit lens, the larger lenslets on the interior side of the lens function to slightly redirect the light rays through the interior of the exit lens, while the smaller lenslets on the exterior side of the exit lens focus the light rays differently, depending on the location of the individual smaller lenslets relative to the larger lenslets. The resulting output light beam has uniform color across the entire beam angle and softer edges than can be provided by a conventional exit lens, such as a single-sided pillow lens, wherein lenslets are provided on only one side of the lens, while a planar surface or Fresnel lens is provided on the other side.
In one example, the internal side of the exit lens may include a pattern of hexagonal lenslets that are, for example, three times larger than the diameter of the hexagonal lenslets included on the exterior side of the lens. In this example, an aperture ratio of the hexagonal lenslets formed on the interior side to the hexagonal lenslets formed on the exterior side may be 3:1. In another example, square or circular lenslets may be used on the interior and exterior sides of the exit lens. When square lenslets are used, the aperture ratio of the lenslets formed on the interior side to those on the exterior side may be 4:1. When circular lenslets are used, the aperture ratio of the lenslets formed on the interior side to those on the exterior side may be 3:1 or 4:1. Other aperture ratios may be used as desired.
In addition to aperture shape and size, the curvature of the lenslets, the alignment of the lenslet arrays and the material of the exit lens may be configured to provide a desired beam shaping effect. In some embodiments, the arrays of lenslets formed on the interior and exterior sides of the exit lens may be aligned, such that a center of each larger lenslet formed on the exterior side is aligned with a center of one of the smaller lenslets formed on the interior side of the exit lens. Aligning the lenslet arrays in such a manner significantly improves center beam intensity, which is important for focused light applications. In some embodiments, the curvature of the lenslets (defined by the radius of the arcs that create the lenslets) may also be chosen to shape the beam and improve center beam intensity. In one example, a curvature ratio of the lenslets formed on the interior side to those formed on the exterior side may be within a range of about 1:10 to about 1:9. It is noted, however, that the curvature ratio and the aperture ratios mentioned are exemplary and generally valid when the exit lens is formed from a material having a refractive index within a range of about 1.45 to about 1.65. Other curvature ratios and aperture ratios may be appropriate when using materials with a substantially different refractive index.
Other objects and advantages of the invention will become apparent upon reading the following detailed description and upon reference to the accompanying drawings.
While the invention is susceptible to various modifications and alternative forms, specific embodiments thereof are shown by way of example in the drawings and will herein be described in detail. It should be understood, however, that the drawings and detailed description thereto are not intended to limit the invention to the particular form disclosed, but on the contrary, the intention is to cover all modifications, equivalents and alternatives falling within the spirit and scope of the present invention as defined by the appended claims.
Turning now to the drawings,
LED lamp 10 is just one example of a wide color gamut illumination device that is configured to provide uniform color within the beam and precise color control over LED lifetime. In addition to a PAR38 form factor, the inventive concepts described herein could be implemented in other standard downlight form factors, such as PAR20 or PAR30, or MR 8 or 16. Additionally, the inventive concepts could be implemented in luminaires with non-standard form factors, such as outdoor spot lights using light engines. As such,
Light produced by the emission LEDs within emitter module 25 is shaped into an output beam by parabolic reflector 26. The planar facets or lunes included within reflector 26 (shown in
Emission LEDs 34, in this example, comprise four differently colored chains of LEDs, each having four LEDs per chain. In one example, emission LEDs 34 may include a chain of four red LEDs, a chain of four green LEDs, a chain of four blue LEDs, a chain of four white LEDs. In another example, a chain of four yellow LEDs may be used in place of the chain of four white LEDs. In yet another example, an additional chain of white LEDs may be used in place of the chain of green LEDs. Although four chains of four LEDs per chain are shown in
In general, LED drivers 32 may include a number of driver blocks equal to the number of LED chains 34 included within the illumination device. In the exemplary embodiment shown in
In some embodiments, LED drivers 32 may comprise circuitry to measure ambient temperature, emitter and/or detector forward voltage, and/or photocurrent induced in the photodetectors by ambient light or light emitted by the emission LEDs 34. In one example, LED drivers 32 may include circuitry to measure the operating temperature of the emission LEDs 34 through mechanisms described, e.g., in U.S. application Ser. Nos. 13/970,944; 13/970,964; and Ser. No. 13/970,990. Such circuitry may be configured to periodically turn off all LED chains but one to perform forward voltage measurements on each LED chain, one chain at a time, during periodic intervals. The forward voltage measurements detected for each LED chain may then be used to adjust the drive currents supplied to each LED chain to account for changes in LED intensity caused by changes in temperature. In another example, LED drivers 32 may include circuitry for obtaining forward voltage and induced photocurrent measurements during the periodic intervals, so that the respective drive currents supplied to the LED chains can be adjusted to account for changes in LED intensity and/or chromaticity caused by changes in drive current, temperature or LED aging. Exemplary driver circuitry is described, e.g., in U.S. application Ser. Nos. 14/314,530; 14/314,580; and Ser. No. 14/471,081.
As shown in
LED or silicon photodetectors produce photocurrent that is proportional to incident light. This photocurrent easily sums when the photodetectors are connected in parallel, as shown in
Receiver 33 may comprise a trans-impedance amplifier that converts the summed photocurrent to a voltage that may be digitized by an analog-to-digital converter (ADC) and used by control circuit 31 to adjust the drive currents produced by LED drivers 32. In some embodiments, receiver 33 may further measure the temperature (or forward voltage) of photodetectors 35 through mechanisms described, e.g., in pending U.S. patent application Ser. Nos. 13/970,944, 13/970,964, 13/970,990. In some embodiments, receiver 33 may also measure the forward voltage developed across the photodetectors 35 and the photocurrent induced within the photodetectors 35 as described, e.g., in pending U.S. patent application Ser. Nos. 14/314,530, 14/314,580 and 14/471,081. The forward voltage and/or induced photocurrent measurements may be used by the control circuit 31 to adjust the drive currents produced by the LED drivers 32 to account for changes in LED intensity and/or chromaticity caused by changes in drive current, temperature or LED aging.
Control circuit 31 may comprise means to control the color and/or brightness of LED lamp 10. Control circuit 31 may also manage the interaction between AC/DC converter 30, LED drivers 32, and receiver 33 to provide the features and functions necessary for LED lamp 10. For example, control circuit 31 may be configured for determining the respective drive currents, which should be supplied to the emission LEDs 34 to achieve a desired intensity and/or a desired chromaticity for the illumination device. The control circuit 31 may also be configured for providing data to the driver blocks indicating the desired drive currents, along with a latching signal indicating when the driver blocks should change the drive currents supplied to the LED chains 34. Control circuit 31 may further comprise memory for storing calibration information, which may be used to adjust the drive currents supplied to the emission LEDs 34 to account for changes in drive current, temperature and LED aging effects. Examples of calibration information and methods, which use such calibration information to adjust LED drive currents, are disclosed in the pending U.S. patent applications mentioned herein.
As shown in
The primary optics structure 61 may be formed from a variety of different materials and may have substantially any shape and/or dimensions necessary to shape the light emitted by the emission LEDs 34 in a desirable manner. According to one embodiment, the primary optics structure 61 is a hemispherical dome. However, one skilled in the art would understand how the primary optics structure 61 may have substantially any other shape or configuration, which encapsulates the emission LEDs 34 and the photodetectors 35 within the primary optics structure 61. In general, the shape, size and material of the dome 61 are configured to improve optical efficiency and color mixing within the emitter module 25.
In the PAR 38 form factor, the diameter of the dome 61 is preferably larger than the diameter of the array of emission LEDs 34, and may be on the order of 1.5 to 4 times larger, in some embodiments. Smaller or larger dome diameters may be used in other form factors. The dome 61 may comprise substantially any light transmissive material, such as silicon, and may be formed through an overmolding process, for example. In some embodiments, the surface of the dome 61 may be lightly textured to increase light scattering and promote color mixing, as well as to slightly increase (e.g., about 5%) the amount of light reflected back toward the detectors 35 mounted on the ceramic substrate 60.
As shown in
The above arrangement of photodetector LEDs 35 and the electrical connection in parallel allow the light output from many different arrangements of emission LEDs 34 to be accurately measured. The key to accurate measurement is that the multiple photodetectors 35 are arranged within the emitter module 25, such that the sum of the photocurrents is representative of the total light output from each LED chain. In the embodiment of
It is important to note that the arrangement of emission LEDs 34 and photodetectors 35 is not limited to only the embodiment shown in
According to one embodiment, emitter module 25 may comprise a plurality of emission LEDs 34 that are electrically coupled as N chains of serially connected LEDs with N LEDs in each chain, wherein each chain is configured to produce a different color of light. Unlike the previous embodiment, in which emission LEDs 34 are arranged in an N×N array and similarly colored LEDs are distributed across the array, the emission LEDs 34 in this embodiment are spatially divided into N blocks, wherein N is an integer value greater than or equal to 3.
In some embodiments, each of the N blocks may consist of N LEDs, each configured for producing a different color or wavelength of light. The N differently colored LEDs within each block are arranged to form a polygon having N sides. For example, if N=3, the 3 differently colored LEDs (e.g., RGB) within each block would be arranged to form a triangle. If N=4, the 4 differently colored LEDs (e.g., RGBW or RGBY) within each block would be arranged to form a square, and so on. The N blocks of N LEDs are further arranged in a pattern on the substrate 60 of the emitter module 25, so as to form an outer polygon having N sides and an inner polygon also having N sides. If N=3, the inner and outer polygons form triangles, and if N=4, the inner and outer polygons form squares. One skilled in the art would understand how different polygons may be formed when N>4.
In
In
The configurations shown in
The photocurrents induced in the N photodetectors 35 by the emission LEDs 34 are measured for each LED chain, one chain at a time, to obtain a sum of photocurrents that is representative of the total light output from each LED chain. Exemplary methods for measuring such photocurrents are described, e.g., in U.S. patent application Ser. Nos. 14/314,580 and 14/471,081.
In one example, drive circuitry (e.g., LED drivers 32,
In some embodiments, the identical aperture shape of the lenslets formed on the interior side and the lenslets formed on the exterior side may be a polygon having N sides, wherein N is an even number greater than or equal to 4 (e.g., a square, hexagon, octagon, etc.). A polygon with an even number of straight sides is often desirable, since it provides a repeatable pattern of lenslets. However, the aperture shape is not limited to such a polygon, and may be substantially circular in other embodiments.
The exit lens 27 is preferably designed such that the lenslets formed on the interior side are substantially larger (i.e., have an aperture with a larger diameter) than the lenslets formed on the exterior side. In some embodiments, the difference in size between the lenslets formed on the interior and exterior sides of the exit lens 27 may be described as an aperture ratio, which is defined as the diameter of the larger lenslets to that of the smaller lenslets.
In addition to aperture shape and size, the curvature of the individual lenslets, the alignment of the interior and exterior lenslet arrays and the material of the exit lens 27 may be configured to provide a desired beam shaping effect. For example, the curvature of the lenslets (defined by the radius of the arcs that create the lenslets) should be chosen to shape the beam and improve center beam intensity. In addition, the lenslet arrays on the interior and exterior sides of the exit lens 27 should be carefully aligned, such that a center of each of the larger lenslets formed on the interior side is aligned with a center of one of the smaller lenslets formed on the exterior side. Aligning the lenslet arrays in such a manner significantly improves center beam intensity, which is important for focused light applications. Since refractive index affects the angle at which light entering and exiting the lens is refracted, the refractive index of the material used to implement the exit lens 27 should also be considered when selecting the desired aperture shape, size and curvature of the lenslet arrays. According to one embodiment, exit lens 27 preferably comprises injection molded acrylic (e.g., PMMA) having a refractive index between about 1.45 and about 1.65, but could comprise substantially any material that is transparent to visible light.
The lenslet arrays formed on each side of the double-sided exit lens 27 are not limited to the aperture shapes and sizes shown in the embodiments of
Regardless of aperture shape, the curvature of the lenslets may be chosen to shape the beam and improve center beam intensity. As noted above, the curvature of lenslets 100 and 101 is defined by the radius of the arcs that create lenslets 100 and 101. The curvature of the lenslets 100 and 101 may be described, in some cases, as a curvature ratio of the larger lenslets 100 formed on the interior side to the smaller lenslets 101 formed on the exterior side. In some embodiments, an appropriate curvature ratio may be within a range of about 1:10 to about 1:9. In one example, the radius of lenslets 100 is about 10 mm and the radius of lenslets 101 is about 1.2 mm. Alternative radii may be appropriate, as long as the curvature ratio remains within the desired range.
Although any combination of lenslets 100 and 101 size, shape and curvature are possible, the various shapes and dimensions described above have been shown to provide optimum color mixing and beam shaping performance. However, the exemplary dimensions mentioned above may only be valid when the exit lens 27 is formed from a material having a refractive index within a range of about 1.45 to about 1.65. Other curvature ratios and aperture ratios may be appropriate when using a material with a refractive index that falls outside of this range.
It is further noted that other variations could also be implemented with respect to the above embodiments, as desired, and numerous variations and modifications will become apparent to those skilled in the art once the above disclosure is fully appreciated.
This application claims priority to U.S. Application No. 61/886,471 filed Oct. 3, 2013.
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