General formulas are derived for the caustic surface and irradiance over an arbitrary receiver surface for point source radiation on collimated rays that are reflected or refracted by a curved surface. Specific formulas are obtained for light from a point source that is deflected by an ellipsoid, an elliptic paiaboloid, and an elliptic cone. As a numerical example caustic surfaces are calculated for a concave spherical surface and a concave paraboloid.
© 1973 Optical Society of America
Original Manuscript: May 24, 1973
Published: December 1, 1973
David L. Shealy and Donald G. Burkhard, "Caustic Surfaces and Irradiance for Reflection and Refraction from an Ellipsoid, Elliptic Paraboloid, and Elliptic Cone," Appl. Opt. 12, 2955-2959 (1973)