Formulation of a Reflector-Design Problem for a Lighting Fixture
- 1 December 1972
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America
- Vol. 62 (12) , 1498-1501
- https://doi.org/10.1364/josa.62.001498
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.Keywords
This publication has 2 references indexed in Scilit:
- High Intensity Discharge Sources in Commercial Interior LightingJournal of the Illuminating Engineering Society, 1972
- On nonlinear elliptic partial differential equations and hölder continuityCommunications on Pure and Applied Mathematics, 1953