18 September 2013 Fast implementation of Oliker's ellipses technology to build free form reflector
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The field of illumination optics has a number of applications where using free-form reflective surfaces to create a required light distribution can be beneficial. Oliker’s concept of combining elliptical surfaces is the foundation of forming a reflector for an arbitrary illuminance distribution. The algorithm for fast implementation of this concept is discussed in detail. It is based on an analytical computation of a 3D cloud of points in order to map the reflector shape with the required flux distribution. Flux delivered to chosen zones across the target can be calculated based on the number of associated cloud points and its locations. This allows optimized ellipse parameters to achieve the required flux distribution without raytracing through the reflector geometry. Such a strictly analytical optimization is much faster than building reflector geometry and raytracing each step of the optimization. A generated 3D cloud of points can be used with a standard SolidWorks feature to build the loft surface. This surface consists of adjacent elliptical facets and should be smooth to maintain continuous irradiance across the target. A secondary operation to smooth the surface profile between elliptical facets is discussed. Examples of proposed algorithm implementations are presented.
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S. Magarill, S. Magarill, "Fast implementation of Oliker's ellipses technology to build free form reflector", Proc. SPIE 8834, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration X, 883403 (18 September 2013); doi: 10.1117/12.2023040; https://doi.org/10.1117/12.2023040

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