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Descripción
Axisymmetric aplanatic concentrators have been used in the past for solar concentrators and condensers (Gordon et. al, 2010). It is well know that such a system must be stigmatic and satisfy the Abbe sine condition. This problem is well known (Schwarzschild, 1905) to be solvable with two aspherics when the system has rotational symmetry. However, some of those axisymmetric solutions have intrinsically shading losses when using mirrors, which can be prevented if freeform optical surfaces are used (Benitez, 2007). In this paper, we explore the design of freeform surfaces to obtain full aplanatic systems. Here we prove that a rigorous solution to the general non-symmetric problem needs at least three free form surfaces, which are solutions of a system of partial differential equations (PDE). We also present the PDEs for a three surface full aplanat. The examples considered have one plane of symmetry, where a consistent 2D solution is used as boundary condition for the 3D problem. We have used the x-y polynomial representations for all the surfaces, and the iterative algorithm formulated for solving the above said PDE has shown very fast convergence.
Internacional	Si
Nombre congreso	Efficient Design for Illumination and Solar Concentration XII. Nonimaging Optics
Tipo de participación	960
Lugar del congreso
Revisores	Si
ISBN o ISSN	9781628417388
DOI
Fecha inicio congreso	09/08/2015
Fecha fin congreso	13/08/2015
Desde la página	1
Hasta la página	11
Título de las actas	Nonimaging Optics. Proc. SPIE 9572

Esta actividad pertenece a memorias de investigación

• Autor: Bharathwaj Appan Narasimhan (UPM)
• Autor: Pablo Benitez Gimenez (UPM)
• Autor: Juan Carlos Miñano Dominguez (UPM)
• Autor: Milena Nikolic . (UPM)
• Autor: Jose Manuel Infante Herrero (UPM)

• Creador: Grupo de Investigación: Ingeniería Óptica
• Departamento: Electrónica Física
• Centro o Instituto I+D+i: Centro de Domótica Integral, CEDINT