Initial design with L2 Monge-Kantorovich theory  for the Monge–Ampère equation method in freeform surface illumination design

Descripción (resumen): 

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. An efficient approach is proposed to find the optimal mapping of the LMK problem. The characteristics of the new approach are introduced and the limitations of the LMK theory in illumination design are presented. 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.


Tipo publicación: 
Revistas JRC-SCI
Publicado en: 
Optics Express Vol. 22, Issue 13, pp. 16161-16177 
ISBN/ISSN: 
1094-4087
Ingeniería óptica
Fecha de Publicacion: 
Junio 2014
Autores CeDInt: 
Otros Autores: 
Yaqin Zhang, Mohamed M. Sulman, Zhenrong Zheng