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Memorias de investigación
Communications at congresses:
Initial design with L2 Monge-Kantorovich theory for the Monge?Ampère equation method of freeform optics
Year:2014
Research Areas
  • Engineering
Information
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. © (2014) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
International
Si
Congress
International Optical Design Conference 2014
960
Place
Reviewers
Si
ISBN/ISSN
1539-4522
Start Date
22/06/2014
End Date
22/06/2014
From page
1
To page
9
International Optical Design Conference 2014. Proc. SPIE 9293, 92930M
Participants
  • Autor: Pablo Benitez Gimenez (UPM)
  • Autor: Juan Carlos Miñano Dominguez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Ingeniería Óptica
  • Departamento: Electrónica Física
  • Centro o Instituto I+D+i: Centro de Domótica Integral, CEDINT
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