This relates generally to optical devices, and in particular to projection systems.
An image offset in a projection system is where the image source, such as a spatial light modulator that modulates light for the image, is offset from the optical axis of a projection lens. This produces an offset image from the projection optics. The projected image from the projection optics is often offset in a direction diametrically opposite to the offset of the input image and is offset by a distance proportional to the input offset. Image offset is often useful in compact projection systems where the projected image must clear part of the projection system itself or with ultra-short throw systems where the projector cannot be directly in front of the projected image.
Image offset requires a projection lens to be large due to the increase in field size to accommodate the offset position of the image source. That is, because the image enters the projection optics offset from the center of the projection optics, the projection optics must be large enough to accommodate the image received by the projection optics plus the offset distance. In addition, the image cannot enter the projection optics too close to the edge of the projection optics to avoid unacceptable distortion of the image. Offset image processing also requires an increase in the lens count to minimize the aberrations of the system due to the large field size. These factors result in expensive, large, and complex projection optics.
In accordance with an example, a projection system includes projection optics having a projection optics axis tilted from an axis perpendicular to an image target, the projection optics configured to project an image. The projection system also includes an image source, the image source configured to provide the image, the image source having an offset from the projection optics axis, a plane of the image source having an angle from perpendicular to the projection optics axis such that a projected image from the image source projected by the projection optics is focused onto the image target along an extent of the projected image.
Corresponding numerals and symbols in the different figures generally refer to corresponding parts unless otherwise indicated. The figures are not necessarily drawn to scale.
In described examples, arrangements solve the problem of providing large projection optics in projection systems using an image offset. In an example, a projection system includes projection optics having a projection optics axis tilted from an axis perpendicular to an image target, the projection optics configured to project an image. The projection system also includes an image source, the image source configured to provide the image, the image source having an offset from the projection optics axis, a plane of the image source having an angle from perpendicular to the projection optics axis such that a projected image from the image source projected by the projection optics is focused onto the image target along an extent of the projected image.
Where d is the distance from projection optics 708 to image target 712. The additional distance of y is determined by a right triangle 714 with the length of projected image 710 as its hypotenuse. Therefore, y is determined by Equation 2:
y=x+l sin θ (2)
Where l is the length of projected image 710 along image target 712. The focal distance is determined by Equation 3:
Where f is the focal length of the lens, u is the object distance, and v is the subject distance. The subject distances for the bottom and top of the image are x and y, respectively. Solving for u for the top and bottom of spatial light modulator 702 (i.e. the object distances) determines the position of spatial light modulator 702 and thus angle α. Because of the linear nature of Equations 1-3, focusing the top and bottom of the projected image focuses the image along the extent of the projected image.
Assumptions:
0.23″ image source (DMD) w/F1.7 optics
20″ image diagonal (16:9)
8″ throw distance
3″ image offset
The chart below expresses the offset as a percentage of the size of the DMD. The chart below summarizes the results of the simulations:
In this chart, the image distortion is the percentage of pixels lost due to correction for keystoning. A good compromise from these figures is a 100% offset with a Scheimpflug tilt (α) of 0.15°. This provides an image distortion of 13.10% and projection optics with a diameter of 11.46 mm. Different assumptions and different goals will determine different optimization results.
Modifications are possible in the described examples, and other examples are possible, within the scope of the claims.
This application claims the benefit under 35 U.S.C. § 119(e) to co-owned U.S. Provisional Patent Application Ser. No. 62/692,146, filed Jun. 29, 2018, entitled “SIZE AND COMPLEXITY REDUCTION OF A PROJECTION LENS FOR AN OFFSET IMAGE,” which is hereby incorporated by reference in its entirety herein.
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Number | Date | Country | |
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20200004117 A1 | Jan 2020 | US |
Number | Date | Country | |
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62692146 | Jun 2018 | US |