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Initial design with L2 Monge-Kantorovich theory for the Monge–Ampère equation method of freeform optics
Citation
Wu, Rengmao and Zhang, Yaqin and Benitez Gimenez, Pablo and Miñano Dominguez, Juan Carlos (2014). Initial design with L2 Monge-Kantorovich theory for the Monge–Ampère equation method of freeform optics. In: "International Optical Design Conference (IODC 2014)", 22/06/2014 - 26/06/2014, Hawaii, USA. pp. 1-9. https://doi.org/10.1117/12.2072370.
Description
| Title: | Initial design with L2 Monge-Kantorovich theory for the Monge–Ampère equation method of freeform optics |
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| Author/s: |
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| Item Type: | Presentation at Congress or Conference (Article) |
| Event Title: | International Optical Design Conference (IODC 2014) |
| Event Dates: | 22/06/2014 - 26/06/2014 |
| Event Location: | Hawaii, USA |
| Title of Book: | SPIE Proceedings |
| Título de Revista/Publicación: | INTERNATIONAL OPTICAL DESIGN CONFERENCE 2014 |
| Date: | 2014 |
| ISSN: | 0277-786X |
| Volume: | 9293 |
| Subjects: | |
| Freetext Keywords: | Illumination design, nonimaging optics, freeform surface, computation methods |
| Faculty: | E.T.S.I. Telecomunicación (UPM) |
| Department: | Electrónica Física |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
The Monge–Ampère (MA) equation arising in illumination design is highly nonlinear so that the convergence of the MA method is strongly determined by the initial design. We address the initial design of the MA method in this paper with the L2 Monge-Kantorovich (LMK) theory, and introduce an efficient approach for finding the optimal mapping of the LMK problem. Three examples, including the beam shaping of collimated beam and point light source, are given to illustrate the potential benefits of the LMK theory in the initial design. The results show the MA method converges more stably and faster with the application of the LMK theory in the initial design.
More information
| Item ID: | 36074 |
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| DC Identifier: | https://oa.upm.es/36074/ |
| OAI Identifier: | oai:oa.upm.es:36074 |
| DOI: | 10.1117/12.2072370 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 29 Jul 2015 17:08 |
| Last Modified: | 29 Jul 2015 17:08 |
