Freeform optics design for extended sources in paraxial approximation exploiting the expectation maximization algorithm
| Autor: | Paul Buske, Annika Völl, Jochen Stollenwerk, Peter Loosen, Rolf Wester, Michael Berens |
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| Přispěvatelé: | Publica |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Computer science
Gaussian freeform optics Physics::Optics 02 engineering and technology 01 natural sciences Collimated light law.invention 010309 optics Superposition principle symbols.namesake Optics law 0103 physical sciences Expectation–maximization algorithm Point (geometry) Freiformoptiken business.industry Paraxial approximation 021001 nanoscience & nanotechnology Laser Atomic and Molecular Physics and Optics symbols Pinhole (optics) 0210 nano-technology business |
| Popis: | Freeform optics generating specific irradiance distributions have been used in various applications for some time now. While most freeform optics design algorithms assume point sources or perfectly collimated light, the search for algorithms for non-idealized light sources with finite spatial as well as angular extent is still ongoing. In this work, such an approach is presented where the resulting irradiance distribution of a freeform optical surface is calculated as a superposition of pinhole images generated by points on the optical surface. To compute the required arrangement of the pinhole images for a prescribed irradiance pattern, the expectation maximization algorithm from statistics is applied. The result is then combined with a ray-targeting approach for finding the shape of the corresponding freeform optical surface. At its current state, the approach is applicable to Gaussian input irradiances, single-sided freeform optics and for the paraxial case. An example freeform optical surface for laser material processing is shown and discussed demonstrating the performance and the limitations of the presented approach. |
| Databáze: | OpenAIRE |
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