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Reflection Of A Wave Off A Surface, Brendan Guilfoyle, Wilhelm Klingenberg
Reflection Of A Wave Off A Surface, Brendan Guilfoyle, Wilhelm Klingenberg
Preprints
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.