Observatorio de I+D+i UPM

Memorias de investigación
The Monge-Ampere Equation Design Method and Its Application to Beam Shaping
Research Areas
  • Engineering
The freeform surface illumination employs one or multiple freeform surfaces to redirect the light coming from a given light source to produce a target. There are several kinds of methods that can be used to solve this problem [1-4]. Among these design methods, the Monge?Ampère (MA) equation method may be most advanced [3,4], however, this kind of method has been covered by the veil of mystery for a long time due to lack of details published about the method [3]. It was demonstrated in a previous publication that this design problem, which is similar to the problem of optimal mass transport, can be converted into a nonlinear boundary problem for the elliptic MA equation [5]. Establishing this kind of mathematical model for freeform surface illumination uncovered the veil of mystery of the MA method for the first time.
Entity Nationality
Sin nacionalidad
  • Autor: Pablo Benitez Gimenez (UPM)
  • Autor: Juan Carlos Miñano Dominguez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Ingeniería Óptica
  • Centro o Instituto I+D+i: Centro de Domótica Integral, CEDINT
  • Departamento: Electrónica Física
S2i 2020 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)