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On Non-Scattering Waves and Inhomogeneities

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RNTW04 - Synergistic workshop on Rich and Nonlinear tomography aimed at drawing together all strands of both methods and applications with new insights

A common type of inverse scattering problems involves detecting information about an unknown inhomogeneity by sending incident waves and measuring scattered waves in the far-field. However, in some cases, a phenomenon called non-scattering can occur, where no scattered waves can be observed from the exterior of the inhomogeneity when probed by an incident wave. This corresponds to a nontrivial kernel of the far-field operator. In this talk, I will present recent work on the necessary conditions for the existence of non-scattering waves for certain inhomogeneities.

This talk is part of the Isaac Newton Institute Seminar Series series.

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