Micropatch Lens Surface for Accurate Caustic Image Projection
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Solution Overview
Problem
Current technologies fail to effectively create a translucent surface that projects a desired image through light, as they lack the ability to distribute light energy uniformly and accurately recreate complex images using caustics.
Innovation Solution
A translucent surface with a plurality of micropatches, each acting as a refractive or reflective lens, is designed by decomposing an input image into Gaussian kernel functions and determining the surface topology for each micropatch to cast a Gaussian caustic, ensuring equal light energy distribution and collective image approximation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Illumination intensity
If light is redirected through a curved surface to create caustics, then higher light levels and contrast are maintained, but the ability to accurately project a desired image is lost
Solution Approach 1:
The patent divides the translucent surface into a plurality of micropatches, each functioning as an independent lens element. This segmentation allows each micropatch to be precisely controlled to redirect light rays according to specific optical paths, enabling accurate image projection while maintaining high light levels through caustic formation. The discrete micropatch structure facilitates precise manufacturing control for each element.
Solution Approach 2:
Each micropatch on the translucent surface is designed with locally optimized optical properties, including specific curvature and refractive characteristics tailored to its position and function. This local quality approach ensures that each micropatch contributes precisely to the overall image projection while maintaining efficient light redirection, resolving the contradiction between image accuracy and illumination intensity.
2Adaptability or versatility
If a translucent surface is designed with multiple micropatch lenses to project an image, then image projection capability is improved, but the complexity of designing and manufacturing the surface increases
Solution Approach 1:
The patent employs a computational design process that copies and adapts standardized lens patterns across multiple micropatches. By using recurring geometric motifs and systematic variations of base lens designs, the complexity of designing each individual micropatch is reduced while maintaining the overall image projection capability. This modular copying approach simplifies manufacturing while preserving adaptability.
Solution Approach 2:
The invention systematically varies key optical parameters (such as lens curvature, focal length, and spacing) across the micropatch array according to mathematical relationships and optimization algorithms. This parameter-based design approach allows complex image projection capabilities to be achieved through controlled variations of fundamental design parameters, reducing overall design complexity while maintaining versatility.
3Manufacturing precision
If Gaussian kernel functions are used to decompose the input image and distribute light energy uniformly, then light energy distribution is improved, but the computational and design process becomes more complex
Solution Approach 1:
The patent performs preliminary computational decomposition of the target image into Gaussian kernel functions during the design phase. This preliminary action establishes the optimal light energy distribution pattern before physical manufacturing, allowing the micropatch lenses to be precisely configured to achieve uniform energy distribution. By resolving the computational complexity in advance, the actual manufacturing process is simplified while maintaining high precision light distribution.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The solution enables the creation of a continuous surface that accurately projects a desired image by uniformly distributing light energy, effectively recreating complex images using a collection of Gaussian caustics, facilitating both design and manufacturing processes.
Implementation Method 1
Each micropatch provides a lens configured to create a caustic on a projection surface when light passes through the translucent surface. The lens may be a refractive or reflective lens.
Implementation Method 2
Each micropatch provides a lens configured to create a caustic on a projection surface when light passes through the translucent surface. The lens may be a refractive or reflective lens.
Implementation Method 3
In optics, a caustic refers to an envelope of light rays reflected or refracted by a curved surface, as well as to the projection of such light rays onto another surface. More specially, a caustic is the curve or surface tangent to each light ray, defining a boundary of an envelope of rays as a curve of concentrated light.
Data Source
AI summary
Techniques are described for designing and manufacturing a surface that produces a desired image when illuminated by a light source. As described, the desired image may be decomposed into a collection of Gaussian kernels (referred to as Gaussians). A shape of a micropatch lens corresponding to each Gaussian may be determined, and the resulting micropatch lenses may be assembled to form a highly continuous surface that will cast an approximation of the desired image formed form the sum of a plurality of Gaussian caustics. The disclosed techniques may be used to create a design for a light-redirecting surface amenable to milling (or other manufacturing process).