Reflection of a wave off a surface

Details Reflection of a wave off a surface Reflection of a wave off a surface

2004-06-10

arxiv.org/abs/math/0406212v1

J. Geom. 84 (2006) 55-72.

Mathematics

Differential Geometry

14 pages, AMS-LATEX

Scientific paper

Recent advances in twistor theory are applied to geometric optics in ${\Bbb{R}}^3$. 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.

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