Designing double freeform optical surfaces for controlling both irradiance and wavefront.
Designing double freeform optical surfaces for controlling both irradiance and wavefront.
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DOI：
10.1364/oe.21.028693
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发表时间：
2013-11
期刊：
影响因子：
3.8
通讯作者：
Zexin Feng;Lei Huang;G. Jin;M. Gong
中科院分区：
文献类型：
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作者：
Zexin Feng;Lei Huang;G. Jin;M. Gong
我们提出了一种改进的双自由形光学表面设计方法，用于在给定入射光束形成所需波前的同时形成规定的辐照度分布。该方法推广了我们之前的工作[Opt. Exp. 21, 14728-14735(2013)]来处理不可分光束辐照度。首先在L2 Monge-Kantorovich传质问题的框架下，采用自适应网格法计算了适当的射线映射。然后，我们根据这种映射，使用改进的同步逐点程序来构造两个自由曲面，以最小化曲面误差。对于第一个曲面，改进的方法是首先仅利用当前点的斜率逼近下一个点的值，然后根据斯涅尔定律利用两个点的斜率对其进行改进。利用光程长度不变的条件，可以计算出其在第二表面上的对应点。一个产生具有挑战性的辐照度分布和非理想波前的设计实例证明了该方法的有效性。
We propose an improved double freeform-optical-surface design method for shaping a prescribed irradiance distribution whilst forming a desired wavefront from a given incident beam. This method generalizes our previous work [Opt. Exp. 21, 14728-14735 (2013)] to tackle non-separable beam irradiances. We firstly compute a proper ray mapping using an adaptive mesh method in the framework of the L2 Monge-Kantorovich mass transfer problem. Then, we construct the two freeform optical surfaces according to this mapping using a modified simultaneous point-by-point procedure which is aimed to minimize the surface errors. For the first surface, the modified procedure works by firstly approximating a value to the next point by only using the slope of the current point and then improving it by utilizing both slopes of the two points based on Snell's law. Its corresponding point on the second surface can be computed using the constant optical path length condition. A design example of producing a challenging irradiance distribution and a non-ideal wavefront demonstrates the effectiveness of the method.