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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 M THE CONCENTRATOR DESIGN FOR SKEW RAYS

M.1 THE DIFFERENTIAL EQUATION

The profile of the modified concentrator described in Section 5.6 can be described by means of the coordinate system in Fig. M.1. The origin is taken at the center of the exit aperture and this latter has radius a’ as usual. We trace a ray in reverse from some point Q on the exit aperture to the point R(0, y, z) on the desired profile and then reflect it. This ray must be constrained to leave Q with the chosen value h of the skew invariant and after reflection it must have the inclination θi to the axis. These constraints will determine the profile uniquely.

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