Mathematics | Physical Sciences and Mathematics
Recent advances in twistor theory are applied to geometric optics in R 3 . The general formulae for reflection of a wavefront in a surface are derived and in three special cases explicit descriptions are provided: when the reflecting surface is a plane, when the incoming wave is a plane and when the incoming wave is spherical. In each case particular examples are computed exactly and the results plotted to illustrate the outgoing wavefront.
Guilfoyle, B., Klingenberg, W. Reflection of a wave off a surface. J. geom. 84, 55–72 (2006). https://doi.org/10.1007/s00022-005-0022-0