Abstract
Light-emitting diodes (LEDs) have been investigated to expand their application to very thin electronic devices, including various optical components in a single device. In such applications, the collimation of light produced by LEDs using a conventional Fresnel lens can be bent at angles greater than 45°, whereas most LEDs radiate at solid angles greater than 60°. This paper describes a miniaturized total internal reflection (TIR) Fresnel lens for such miniature optical LED applications. The proposed lens reduces the solid angle of a LED from 60° to 12°, and was designed to have a thickness of less than 1 mm with eleven facets on a single side. The overall geometry of the TIR lens was calculated numerically using Matlab, and the central hyperboloid was designed using Code V.
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Abbreviations
- E :
-
incident angle of an inner facet
- n :
-
refractive index of PMMA at 468 nm
- P :
-
angle of an external facet
- r :
-
radial distance from the lens center
- T :
-
angle between the interior faces and the external face
- α :
-
solid angle of the light source
- ρ :
-
radius of the TIR Fresnel lens
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Joo, JY., Lee, SK. Miniaturized TIR Fresnel lens for miniature optical LED applications. Int. J. Precis. Eng. Manuf. 10, 137–140 (2009). https://doi.org/10.1007/s12541-009-0038-8
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DOI: https://doi.org/10.1007/s12541-009-0038-8