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• W2104443267 abstract "We reduce the broken ray transform on some Riemannian manifolds (with corners) to the geodesic ray transform on another manifold, which is obtained from the original one by reflection. We give examples of this idea and present injectivity results for the broken ray transform using corresponding earlier results for the geodesic ray transform. Examples of manifolds where the broken ray transform is injective include Euclidean cones and parts of the spheres $S^n$. In addition, we introduce the periodic broken ray transform and use the reflection argument to produce examples of manifolds where it is injective. We also give counterexamples to both periodic and nonperiodic cases. The broken ray transform arises in Calderon's problem with partial data, and we give implications of our results for this application." @default.
• W2104443267 created "2016-06-24" @default.
• W2104443267 creator A5089271145 @default.
• W2104443267 date "2013-06-03" @default.
• W2104443267 modified "2023-09-27" @default.
• W2104443267 title "A reflection approach to the broken ray transform" @default.
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