We present several geometrical models for freeform optical design based on Hamilton’s characteristic functions, which can be either expressed in terms of a cost function or a generating function. These models are closed with a conservation law for luminous flux. We give an example of a near-field problem where a collimated beam is converted into a target distribution on a sphere.
We present several geometrical models for freeform optical design based on Hamilton’s characteristic functions, which can be either expressed in terms of a cost function or a generating function. The models are closed with an energy balance. We give an example of an inverse design for a near-field optical system.
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