Boundary Recovery of Anisotropic Electromagnetic Parameters for Time Harmonic Maxwell's Equations

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• Sean Holman (University of Manchester)
• Wednesday 26 April 2023, 15:00-16:00
• Seminar Room 2, Newton Institute.

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RNT - Rich and Nonlinear Tomography - a multidisciplinary approach

This work concerns inverse boundary value problems for the time-harmonic anisotropic Maxwell’s equations on differential 1-forms. We formulate the boundary value problem on a 3-dimensional compact and simply connected Riemannian manifold M with boundary endowed with a Riemannian metric g. In this context, the impedance and admittance maps are pseudodifferential operators and we compute their principal symbols as well as the principal symbols of some related operators. We then show consequences for the recovery of anisotropic electric parameters at the boundary.

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

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