Design of a freeform two-reflector system to collimate and shape a point source distribution

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