Initial design with L2 Monge-Kantorovich theory for the Monge–Ampère equation method of freeform optics

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
Author/s:
  • Wu, Rengmao
  • Zhang, Yaqin
  • Benitez Gimenez, Pablo
  • Miñano Dominguez, Juan Carlos
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

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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
DC Identifier: http://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
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