Fresnel透镜是最常见的太阳能聚光镜之一, 曲面Fresnel透镜通常比平面Fresnel透镜具有更加优越的性能。基于非成像光学理论, 提出了一种新型曲面Fresnel透镜的设计方法。曲面Fresnel透镜采用圆锥曲面基底, 在满足Fresnel透镜机械参数要求的前提下, 实现Fresnel透镜第二工作面面型的求解。基于可加工性的要求, 利用该方法设计了不同形状的曲面Fresnel透镜, 通过光学仿真分析了曲面Fresnel透镜的结构参数对聚光镜会聚比、容忍角、光照均匀性的影响, 并分析了超精密加工条件下, 由于加工误差对光学效率的影响。该设计方法为参数化曲面Fresnel透镜的分析提供了一种新的途径。仿真结果表明, 具有小深宽比的曲面Fresnel透镜具有更好的均匀性和更高的能量利用率。

Fresnel lens is one of the most common solar concentrators. The performance of the curved Fresnel lens is usually better than flat Fresnel lens. Based on the principle of non-imaging optics, a new curved Fresnel lens design method was proposed in this study. The curved Fresnel lens was on conical surface. In the premise of meeting the mechanical requirements of the Fresnel lens, the slope of the second surface of the Fresnel lens was solved. Based on the objective of manufacturability, different shapes of Fresnel lenses were obtained by this method to analyze the effect of structural parameters of curved Fresnel lens on concentration ratio, acceptance angle and the illumination uniformity by optical simulation. The effect of machining error on optical efficiency in ultra-precision machining was also analyzed. The design method provided a new way for the parametric analysis of curved Fresnel lens. The simulation results show that the small aspect ratio of curved Fresnel lens will get good uniformity and high energy efficiency.