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Mapping of two families of rays by a reflecting contour

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Abstract

Mapping a family of rays in a plane onto a second family by a reflecting contour is an important step in the design of two-dimensional nonimaging concentrators by the edge-ray principle. The condition of specular reflection yields a differential equation for the reflecting contour that is usually solved numerically. A set of equations is derived that gives the contour in closed analytical form. These equations are defined and yield the correct result also for edge rays of nondifferentiable boundaries.

© 1996 Optical Society of America

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Equations (25)

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