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Nonimaging Optics by With contributions by Narkis Shatz and John C. Bortz, Pablo G. Benitez, Juan C. Minano, Roland Winston

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Appendix B THE EDGE-RAY THEOREM

B.1 INTRODUCTION

This theorem provides the key for the synthesis methods of concentrators. It has been used as a powerful tool since the first designs of “nonimaging concentrators” in the 1960s, although its first proof was given by Miñano much later (Miñano, 1985; 1986). Since then, other proofs and formulations have been proposed by Davis (1994), Ries & Rabl (1994), and Benítez et al. (1997).

For simplicity of the explanation, we will consider here only the theorem in 2D geometry, partially following the approaches in Miñano (1985) and Benítez et al. (1997). The reader interested in the 3D treatment can consult Miñano (1986). First, in Section B.2, the theorem is formulated for the case of continuous inhomogeneous ...

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