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Design in 3D geometry with the simultaneous multiple surface design method of nonimaging optics

The Simultaneous Multiple Surfaces of Nonimaging Optics has been used successfully in the past for the synthesis of concentrators in two dimensions. In this paper we present a first approach to extend this design method to 3D geometry. As a first result, an aspheric lens without rotational symmetry that focus sharply two plane wavefronts at two points in 3D geometry is found, feature which cannot be obtained with an axisymmetric optical system with a finite number of optical surfaces.