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Contribution of periodic diffractive geodesics
Authors:Luc Hillairet
Affiliation:UMPA ENS-Lyon 46 allée d’Italie 69364 Lyon Cedex 7, France
Abstract:On an euclidean surface with conical singularities, the wave-trace is expected to be singular at L where L is the length of some diffractive periodic geodesic. In this paper, we compute the leading term of the singularity brought to the trace by a regular, isolated diffractive geodesic and by a regular family of periodic non-diffractive geodesic. These results can be applied to polygons.
Keywords:Wave-trace   Conical singularities   Polygonal billiard
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