In this paper we propose a method to compute a freeform reflector system for collimating and shaping a beam from a point source. We construct these reflectors such that the radiant intensity of the source is converted into a desired target. An important generalization in our approach compared to previous research is that the output beam can be in an arbitrary direction. The design problem is approached by using a generalized Monge-Ampère equation. This equation is solved using a least-squares algorithm for non-quadratic cost functions. This algorithm calculates the optical map, from which we can then compute the surfaces. We test our algorithm on two cases. First we consider a uniform source and target distribution. Next, we use the model of a laser diode light source and a ring-shaped target distribution.

中文翻译：

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设计一个自由形式的双反射器系统来校准和塑造点源分布

在本文中，我们提出了一种计算自由曲面反射器系统的方法，用于准直和整形来自点源的光束。我们构建这些反射器，以便将源的辐射强度转换为所需的目标。与之前的研究相比，我们方法的一个重要概括是输出光束可以在任意方向。设计问题是通过使用广义 Monge-Ampère 方程来解决的。该方程使用非二次成本函数的最小二乘算法求解。该算法计算光学图，然后我们可以从中计算表面。我们在两种情况下测试我们的算法。首先，我们考虑统一的源和目标分布。接下来，我们使用激光二极管光源和环形目标分布的模型。