Diffractive Optical Element Fan-Out Angle Design
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Solution Overview
Problem
In optical pattern projection systems, particularly double-DOE systems, achieving a large Field of View (FOV) with dynamic patterning while preventing noise order between adjacent signal orders is challenging due to the need for precise design of diffraction angles between fan-out and tile DOEs.
Innovation Solution
The method involves emitting an input beam to a diffractive optical element (DOE) with a specific fan-out angle θ and a number of fan-out points N, where θ is determined by the equation sin(θ²) = (N-1)²·λ·K·Δ, with λ being the wavelength, Δ the pixel size, and K an integer not smaller than N, to eliminate noise order between fan-out points.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Area of stationary object
If a double-DOE system is used to achieve large FOV and dynamic patterning, then the field of view and patterning capability are improved, but noise order appears between adjacent signal orders due to improper diffraction angle design
Solution Approach 1:
The patent applies parameter changes by establishing a specific mathematical relationship between the diffraction angle θ and system parameters (wavelength λ, pixel size Δ, fan-out points N, and integer K). By changing the diffraction angle parameter according to the formula sin(θ) = (N-1)²·λ·K·Δ, the system eliminates noise order while maintaining large FOV and dynamic patterning capabilities.
2Reliability
If the diffraction angle is designed to prevent noise order, then the signal quality is improved, but the design complexity increases due to specific relationship requirements
Solution Approach 1:
The patent transforms the complex design problem into a parameter optimization task by providing a clear mathematical formula. This allows designers to calculate the appropriate diffraction angle θ directly from system parameters (N, λ, Δ, K) without complex iterative design processes, thereby improving signal quality while managing design complexity through analytical solutions.
3Measurement precision
If the fan-out angle and number of fan-out points are optimized to eliminate noise, then the projection clarity is improved, but the system constraints increase due to the specific equation requirements
Solution Approach 1:
The patent maintains system flexibility by providing a family of solutions through the integer parameter K. Different values of K (where K ≥ N) allow the system to be adapted to different configurations while always satisfying the noise elimination condition. This enables optimization of projection clarity for specific applications while retaining adaptability through parameter selection.
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
This approach effectively eliminates noise order between fan-out points, ensuring clear signal projection by determining the optimal fan-out angle and number of points, enhancing the performance of the optical system in applications like 3D mapping and LCD backlighting.
Implementation Method 1
diffracting the input beam via the DOE with a specific fan-out angle θ and a number of fan-out points N on a surface
Data Source
AI summary
A method for projection includes: emitting an input beam to a diffractive optical element (DOE); and diffracting the input beam via the DOE with a specific fan-out angle θ and a number of fan-out points N on a surface, wherein the specific fan-out angle θ and the number of fan-out points N fit the following equation:sin(θ2)=(N-1)2·λKΔ,where λ is a wavelength of the input beam, Δ is a pixel size of the DOE, and K is an integer not smaller than N.