A method is described for determining the distribution of the radiation reflected from a mirror due to a point source. In particular, the distribution from an elliptical cylinder, which apparently has not been previously analyzed, is investigated and examples are given of the irradiance on surfaces of various configurations. In addition, the distribution from mirrors of ellipsoidal, paraboloidal, and parabolic cylinder form is considered. The method used may be extended to other types of mirrors.
PHILIP J. HART, "Distribution of Radiation from Elliptical and Parabolic Mirrors," J. Opt. Soc. Am. 48, 637-642 (1958)