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Design of an efficient Fresnel-type lens utilizing double total internal reflection for solar energy collection

Ian Wallhead, Teresa Molina Jiménez, Jose Vicente García Ortiz, Ignacio Gonzalez Toledo, and Cristóbal Gonzalez Toledo

Open Access Open Access

Abstract

A novel of Fresnel-type lens for use as a solar collector has been designed which utilizes double total internal reflection (D-TIR) to optimize collection efficiency for high numerical aperture lenses (in the region of 0.3 to 0.6 NA). Results show that, depending on the numerical aperture and the size of the receiver, a collection efficiency theoretical improvement on the order of 20% can be expected with this new design compared with that of a conventional Fresnel lens.

©2012 Optical Society of America

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Figures (8)
Fig. 1
Fig. 1 Reflectance as light passes a refractive index boundary between nPMMA = 1.49 and nair = 1. (a) As light enters PMMA from air (b) As light exits PMMA into air.

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Fig. 2
Fig. 2 Fresnel lens showing refraction of a ray at the second surface

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Fig. 3
Fig. 3 Transmission efficiency as a result of reflection losses of a conventional Fresnel lens and two TIR lenses. (Material: PMMA, n = 1.49)

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Fig. 4
Fig. 4 Sources of geometric losses which are a function of refraction angle. (a) Chromatic dispersion. (b) Effects of angle of incidence variation.

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Fig. 5
Fig. 5 Three methods of deflecting a ray by an angle, α. (a) By refraction as in a conventional Fresnel lens. (b) Using single TIR. (c) Using double TIR.

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Fig. 6
Fig. 6 Design of a hybrid lens (conventional Fresnel and double TIR)

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Fig. 7
Fig. 7 Irradiance at the focus of (a) a conventional Fresnel lens and (b) a hybrid Fresnel/D-TIR lens when illuminated with the full solar spectrum (300nm to 2.4µm).

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Fig. 8
Fig. 8 Encircled energy analysis of the plots in Fig. 7.

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