A method for producing a freeform Fresnel surface having a number of Fresnel facets with a respective Fresnel segment surface and a trailing edge includes the production of the freeform Fresnel surface via machining processing of a starting body based on the construction data for the freeform Fresnel surface. With the aid of the circular cylinder casing surfaces and/or cone casing surfaces, the projection of the edges of the Fresnel facets on the x-y-plane represent circular paths for the creation of the construction data.
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