超高压汞灯光学扩展量的分析

Analysis for optical extent of ultrahigh-pressure mercury lamp

基于非成像光学的光学扩展量概念,结合冷反光碗方程,将光源发光弧长内部的强度分布和角度分布作为权重函数,导出了出射光斑的光能量分布,分析了带反光碗的超高压汞灯出射光斑的光学扩展量。根据理论分析模型,实际模拟了输出光斑的光能分布与光学扩展量的关系曲线。为了验证分析方法的正确性,提出采用积分球测量光学扩展量和光能分布的方法,实验测量并验证了模拟得到的曲线,从而为照明系统的设计提供了有价值的参考。

Based on the concept of optical extent of non-imaging optics, with consideration of the intensity and angular distribution within the arc length of light source with reflector,the light intensity distribution of the exit spot is derived and the optical étentdue of the exit spot for ultrahigh-pressure mercury(UHP) lamp with bowl-like reflector is analyzed. By the simulation of a theoretical model, the facular intensity distribution curve versus étendue is achieved. In order to verify the accuracy of the analytical method, a method with integration sphere is proposed to test the étendue and the intensity distribution of UHP lamp. The measurement curve matches the theoretical result well which proves that the curve is valuable for the design of illumination system.