Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
SMS freeforms for illumination
Year:2013
Research Areas
  • Engineering
Information
Abstract
SMS 3D (simultaneous multiple surfaces in their three-dimensional version) is a well-known design method comprising two freeform surfaces that allow the perfect coupling of two wavefronts with another two. The design algorithm provides a collection of line pairs on both surfaces (called SMS spines), whose three-dimensional shape seems arbitrary at first sight. This paper shows that the shapes of the spines are partially governed by applying the étendue conservation theorem to the biparametric bundle of rays linking the paired spines, which is one lesser known étendue invariants found by Poincaré. The resulting formulae for the spines in three-dimensional space happen to coincide with the conventional étendue formulas of two-dimensional geometry, like for instance, the Hottel formula.
International
Si
JCR
No
Title
Advanced Optical Technologies
ISBN
2192-8576
Impact factor JCR
Impact info
Volume
Journal number
From page
323
To page
329
Month
SIN MES
Ranking
Participants
  • Autor: Pablo Benitez Gimenez (UPM)
  • Autor: Juan Carlos Miñano Dominguez (UPM)
  • Autor: Julio Chaves (LPI)
  • Autor: Maria Asuncion Santamaria Galdon (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)