Abstract

The typical illumination task is to redirecting the light of a known source by a mirror or a lens such as to achieve a desired irradiance / illuminance distribution on a given target surface. For small sources, such a task can be translated into a partial differential equation of Monge-Ampere type which can be solved numerically. This procedure is much more efficient and faster than an optimization approach. I general, the solution is a freeform optical surface which is exact except for discretization errors. Depending on the topological mapping and the boundary conditions there can be more than one solution. Particular challenges are multiple mappings and mappings with ring-topology. Additional requirements may be used to specify more than one surface. In particular more than one surface may allow extending the approach to extended sources. Article not available.

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