Design of two-dimensional reflective imaging systems: an approach based on inverse methods
Abstract Imaging systems are inherently prone to aberrations. We present an optimization method to design two-dimensional (2D) freeform reflectors that minimize aberrations for various parallel ray beams incident on the optical system. We iteratively design reflectors using inverse methods from non-...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | Journal of Mathematics in Industry |
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| Online Access: | https://doi.org/10.1186/s13362-024-00164-7 |
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| author | Sanjana Verma Martijn J. H. Anthonissen Jan H. M. ten Thije Boonkkamp Wilbert L. IJzerman |
| author_facet | Sanjana Verma Martijn J. H. Anthonissen Jan H. M. ten Thije Boonkkamp Wilbert L. IJzerman |
| author_sort | Sanjana Verma |
| collection | DOAJ |
| description | Abstract Imaging systems are inherently prone to aberrations. We present an optimization method to design two-dimensional (2D) freeform reflectors that minimize aberrations for various parallel ray beams incident on the optical system. We iteratively design reflectors using inverse methods from non-imaging optics and optimize them to obtain a system that produces minimal aberrations. This is done by minimizing a merit function that quantifies aberrations and is dependent on the energy distributions at the source and target of an optical system, which are input parameters essential for inverse freeform design. The proposed method is tested for two configurations: a single-reflector system and a double-reflector system. Classical designs consisting of aspheric elements are well-known for their ability to minimize aberrations. We compare the performance of our freeform optical elements with classical designs. The optimized freeform designs outperform the classical designs in both configurations. |
| format | Article |
| id | doaj-art-e036b964e3d54300a051abf7f5b5e1c8 |
| institution | DOAJ |
| issn | 2190-5983 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Mathematics in Industry |
| spelling | doaj-art-e036b964e3d54300a051abf7f5b5e1c82025-08-20T02:50:03ZengSpringerOpenJournal of Mathematics in Industry2190-59832024-11-0114112110.1186/s13362-024-00164-7Design of two-dimensional reflective imaging systems: an approach based on inverse methodsSanjana Verma0Martijn J. H. Anthonissen1Jan H. M. ten Thije Boonkkamp2Wilbert L. IJzerman3Department of Mathematics & Computer Science, Eindhoven University of TechnologyDepartment of Mathematics & Computer Science, Eindhoven University of TechnologyDepartment of Mathematics & Computer Science, Eindhoven University of TechnologySignify ResearchAbstract Imaging systems are inherently prone to aberrations. We present an optimization method to design two-dimensional (2D) freeform reflectors that minimize aberrations for various parallel ray beams incident on the optical system. We iteratively design reflectors using inverse methods from non-imaging optics and optimize them to obtain a system that produces minimal aberrations. This is done by minimizing a merit function that quantifies aberrations and is dependent on the energy distributions at the source and target of an optical system, which are input parameters essential for inverse freeform design. The proposed method is tested for two configurations: a single-reflector system and a double-reflector system. Classical designs consisting of aspheric elements are well-known for their ability to minimize aberrations. We compare the performance of our freeform optical elements with classical designs. The optimized freeform designs outperform the classical designs in both configurations.https://doi.org/10.1186/s13362-024-00164-7AberrationsIllumination opticsImaging opticsInverse methodsFreeform designNelder-Mead optimization |
| spellingShingle | Sanjana Verma Martijn J. H. Anthonissen Jan H. M. ten Thije Boonkkamp Wilbert L. IJzerman Design of two-dimensional reflective imaging systems: an approach based on inverse methods Journal of Mathematics in Industry Aberrations Illumination optics Imaging optics Inverse methods Freeform design Nelder-Mead optimization |
| title | Design of two-dimensional reflective imaging systems: an approach based on inverse methods |
| title_full | Design of two-dimensional reflective imaging systems: an approach based on inverse methods |
| title_fullStr | Design of two-dimensional reflective imaging systems: an approach based on inverse methods |
| title_full_unstemmed | Design of two-dimensional reflective imaging systems: an approach based on inverse methods |
| title_short | Design of two-dimensional reflective imaging systems: an approach based on inverse methods |
| title_sort | design of two dimensional reflective imaging systems an approach based on inverse methods |
| topic | Aberrations Illumination optics Imaging optics Inverse methods Freeform design Nelder-Mead optimization |
| url | https://doi.org/10.1186/s13362-024-00164-7 |
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