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Proceedings Paper

Field method for concentrator design
Author(s): Angel Garcia-Botella; Antonio A. Fernandez-Balbuena; Daniel Vázquez-Moliní; Eusebio Bernabeu; Agustin Gonzalez-Cano
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Paper Abstract

We study the analogy between the geometrical vector flux, the light vector introduced by A. Gershun and Pharosage vector introduced by P. Moon. From this analogy we present a treatment of the design of concentrators in terms of field theory. We study first the symmetry of concentrators in different coordinate systems. In particular, we study concentrators in elliptical cylindrical coordinates as asymmetric concentrators linking rotational and translational concentrators. Following that symmetry we study the light field produced by an elliptical disk, and we show that onesheet hyperboloids behave as ideal 3D asymmetric concentrators. This result can be generalized to orthogonal surfaces by using field theory. Finally, we find higher order field lines by the study of the light field produced by a 2-D truncated wedge, which can be used to define a new higher order concentrator, the Hyperparabolic Concentrator (HPC). This concentrator has the profile of a hyperbola continuously joined with a tilted parabola. In the limit of infinite focal length of the hyperbola, the 3D HPC reaches the thermodynamic limit of concentration.

Paper Details

Date Published: 20 August 2009
PDF: 10 pages
Proc. SPIE 7423, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration VI, 742307 (20 August 2009); doi: 10.1117/12.825989
Show Author Affiliations
Angel Garcia-Botella, Univ. Politécnica de Madrid (Spain)
Antonio A. Fernandez-Balbuena, Univ. Complutense de Madrid (Spain)
Daniel Vázquez-Moliní, Univ. Complutense de Madrid (Spain)
Eusebio Bernabeu, Univ. Complutense de Madrid (Spain)
Agustin Gonzalez-Cano, Univ. Complutense de Madrid (Spain)


Published in SPIE Proceedings Vol. 7423:
Nonimaging Optics: Efficient Design for Illumination and Solar Concentration VI
Roland Winston; Jeffrey M. Gordon, Editor(s)

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