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Design of freeform refractive lenses is known to be a difficult inverse problem. But solutions, if available, can
be very useful, especially in devices required to redirect and reshape the radiance of the source into an output
irradiance redistributed over a given target according to a prescribed pattern. In this report we present results
of theoretical and numerical analysis of refractive lenses designed with the Supporting Quadric Method. It is
shown that such freeform lenses have a particular simple geometry and qualitatively their diffractive properties
are comparable with rotationally symmetric lenses designed with classical methods.
Vladimir Oliker
"Freeform multifocal lenses designed with the SQM: geometry and diffraction", Proc. SPIE 9955, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XIII—Commemorating the 50th Anniversary of Nonimaging Optics, 99550B (7 September 2016); https://doi.org/10.1117/12.2238025
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Vladimir Oliker, "Freeform multifocal lenses designed with the SQM: geometry and diffraction," Proc. SPIE 9955, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XIII—Commemorating the 50th Anniversary of Nonimaging Optics, 99550B (7 September 2016); https://doi.org/10.1117/12.2238025