LED Light Source Guiding Device for Rectangular Spot Uniformity
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Solution Overview
Problem
Existing LED light source guiding devices fail to efficiently and uniformly project a light beam onto a light-receiving surface due to the complexity of nonlinear simultaneous partial differential equations, which lack analytical solutions and are difficult to converge accurately.
Innovation Solution
An LED light source guiding device utilizing a first-order two-dimensional nonlinear ordinary differential equation algorithm to calculate projection angles, featuring an upper surface with an axial symmetric shape and side surfaces that project light beams onto a rectangular light spot, enhancing illuminance and uniformity by refracting light through geometric curved surfaces.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If nonlinear simultaneous partial differential equations are used to design the optical surface, then the light distribution can be controlled, but the solution process becomes extremely complex and difficult to converge accurately
Solution Approach 1:
The patent transforms the complex nonlinear simultaneous partial differential equations into a first-order two-dimensional nonlinear ordinary differential equation by changing the mathematical parameters and variables. This parameter transformation simplifies the solution process while maintaining the ability to achieve precise light distribution control.
Solution Approach 2:
The patent replaces the complex numerical solution methodology with an analytical solution approach using ordinary differential equations. This substitution eliminates the convergence difficulties associated with numerical methods while achieving the same light distribution control objectives.
2Ease of manufacture
If conventional lenses or reflectors are used for LED light distribution, then the structure is simple, but the light spot uniformity and luminous flux utilization efficiency are insufficient
Solution Approach 1:
The patent employs a free-form curved surface design for the optical element, which combines the simplicity of a single structural component with the ability to achieve precise light control. The curved surface geometry is specifically designed to transform the LED light output into a uniform rectangular light spot while maintaining high luminous flux utilization.
Solution Approach 2:
The optical surface is designed with spatially varying properties where different regions of the surface have different curvature and refraction characteristics. This local variation in surface quality enables precise control of light distribution to achieve uniform illumination across the rectangular light spot.
3Productivity
If numerical methods are used to solve the partial differential equations, then an approximate solution can be obtained, but the convergence accuracy is insufficient and the solution process is inefficient
Solution Approach 1:
The patent replaces iterative numerical solution methods with an analytical solution approach using ordinary differential equations. This substitution provides both high computational efficiency and accurate solutions without the convergence issues inherent in numerical methods.
Solution Approach 2:
The patent creates a simplified mathematical model (ordinary differential equation) that copies the essential physics of the light propagation problem without the complexity of the original partial differential equations. This simplified model retains sufficient accuracy for practical applications while enabling efficient analytical solutions.
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 precise and efficient projection of a light beam onto a rectangular light spot, improving luminous flux utilization and illuminance uniformity, overcoming the limitations of previous methods by simplifying the solution process and achieving accurate light distribution.
Implementation Method 1
The upper surface is an axial symmetric surface formed by a plane generated curve rotating around the light-emitting main axis... light beams projected by boundary curves of the upper surface are projected on edge positions of the rectangular light spot... the geometric curved surfaces facing one another are symmetrical with one another... light beams projected by the side surfaces are totally or partially projected to fall between a central symmetry axis of the rectangular light spot and its corresponding edges
Data Source
AI summary
An LED light source guiding device is composed of an upper surface, a lower surface and side surfaces. The upper surface is geometrically shaped to project a light beam of a light source onto a light-receiving surface to form a rectangular light spot, and light beams projected by boundary curves of the upper surface are boundary positions of the rectangular light spot. The lower surface and the upper surface are coaxial axisymmetric surfaces, and the side surfaces surround between the upper surface and the lower surface to superimposedly project the light source on corresponding positions of the rectangular light spot: light beams projected through boundary curves of the side surfaces are projected on boundaries of the rectangular light spot, and light beams projected through interiors of the side surfaces are projected to fall within the boundaries of the rectangular light spot to enhance an illuminance of the rectangular light spot.