Observatorio de I+D+i UPM

Memorias de investigación
Communications at congresses:
Design of freeform aplanatic systems
Year:2015
Research Areas
  • Engineering
Information
Abstract
Axisymmetric aplanatic systems 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.
International
Si
Congress
Illumination Optics IV. Optical Systems Design 2015
960
Place
Reviewers
Si
ISBN/ISSN
9781628418187
Start Date
07/09/2015
End Date
08/09/2015
From page
1
To page
12
Optical Systems Design 2015. Proc. SPIE 9629. 96290C
Participants
  • 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)
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
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