Shealy D L, Burkhard D G
Appl Opt. 1973 Dec 1;12(12):2955-9. doi: 10.1364/AO.12.002955.
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.
推导了准直光线经曲面反射或折射后,点源辐射在任意接收面上的焦散面和辐照度的通用公式。针对由椭球体、椭圆抛物面和椭圆圆锥体偏折的点源光线,得到了具体公式。作为数值示例,计算了凹球面和凹抛物面的焦散面。