为了进一步提高入射到光敏元上的光能,针对光刻胶热熔法制备的微透镜的非球面面形,提出了一种结合有限元光线追迹和拉格朗日乘子法的设计方法。给定焦距,用该算法可以自动计算出所需的微透镜面形。为了验证算法的精度,对圆形孔径的焦斑均方根半径进行了模拟和理论计算,二者较为吻合。对三次有限元光线追迹的点列图误差进行了估计。计算了会聚到320 pixel×256 pixel背照射紫外焦平面探测器光敏元上的能量集中度,比较了具有不同圆角半径的方形孔径蓝宝石微透镜的效率。结果表明,具有6 μm圆角半径的方形孔径微透镜的能量集中度较高,为96%。

In order to further improve the light energy collected by the photo-sensitive area, a new design method for the aspheric microlens fabricated by the photoresist reflow method is proposed, which combines finite element ray tracing with the Lagrange multiplier method. Given the focal length, the needed aspheric surfaces can be computed automatically by the proposed method. In order to verify the accuracy of this algorithm, the RMS radius of the focal spot of the microlens with circular aperture is simulated and theoretically calculated, respectively, and both results are consistent. The approximation error of spot diagram of the cubic finite element ray tracing is estimated. The enclosed energy collected by the photo-sensitive area of 320 pixel×256 pixel ultraviolet photodetectors is computed and the efficiencies of microlens with square aperture shapes and different fillet radii are compared. The results show that the square aperture microlens with a 6 μm fillet radius has a relatively high energy concentration with an efficiency of 96%.