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Formulation of a Reflector-Design Problem for a Lighting Fixture

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Abstract

The problem of designing a reflector to distribute the illumination of a nonisotropic point source on a plane aperture according to a pre-assigned pattern is analyzed. An integral equation and equivalent partial differential equation are derived. The form of the latter reveals this reflector-design problem to be a singular elliptic Monge–Ampère boundary-value problem.

© 1972 Optical Society of America

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Equations (37)

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