Design method of LED homogeneous reflector based on optical extension and use thereof
A technology of etendue and uniform illumination, which is applied to reflectors, lighting and heating equipment, components of lighting devices, etc., can solve the problems of complex structure of reflectors and light guide plates, low energy utilization rate, inconvenient processing, etc., to achieve Increase the utilization rate of light energy, high energy utilization rate, and improve the uniformity of illumination
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[0050] The design method of the present invention applies the theory of conservation of optical expansion in non-imaging optics to establish the general mathematical model of the reflector based on the analysis of the luminous characteristics of the LED light source and the requirements of specific target planar illumination, and the uniform illumination can be realized by using a single reflector. And higher uniformity of illumination and energy utilization can be obtained on the target plane.
[0051] Using the related theory of optical expansion, see figure 2 , A polar coordinate system is established, the center of the light-emitting surface of the LED is placed at the origin of the coordinate system (0, 0), and the normal of the light-emitting surface is along the negative direction of the x-axis. In polar coordinates, the differential equation of the contour of the reflecting surface is:
[0052] dr ( θ ...
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