Convex Obstacles from Travelling Times

Convex Obstacles from Travelling Times

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We consider situations where POWDER BURN 2.0 KNOCK OUT PUNCH rays are reflected according to geometrical optics by a set of unknown obstacles.The aim is to recover information about the obstacles from the travelling-time data of the reflected rays using geometrical methods and observations of singularities.Suppose that, for a disjoint union of finitely many strictly convex smooth obstacles in Exterior Parts the Euclidean plane, no Euclidean line meets more than two of them.

We then give a construction for complete recovery of the obstacles from the travelling times of reflected rays.