Formulation of a Reflector-Design Problem for a Lighting Fixture
J. Schruben · Journal of the Optical Society of America · 1972
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.