Reconstruction of generic anisotropic stiffness tensors from partial data around one polarization

Add to your list(s) Download to your calendar using vCal

• Maarten de Hoop (Rice University)
• Tuesday 31 January 2023, 15:30-16:15
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

RNTW01 - Rich and Nonlinear Tomography (RNT) in Radar, Astronomy and Geophysics

We combine techniques from algebraic geometry and microlocal analysis to study geometric inverse problems associated with wave propagation in anisotropic elastic media using a single, namely qP, polarization. The Christoffel matrix determined by the stiffness tensor appearing in the analysis of propagation of singularities of elastic waves generates a slowness polynomial. Generic anisotropy ensures a certain “algebraic coupling” between the branches of the slowness surface determined by this polynomial, on which our approach relies. The qP branch of the slowness surface determines a metric in Finsler geometry. The recovery of the stiffness tensor from the slowness surface uses Gröbner bases.   Joint research with J. Ilmavirta, M. Lassas and A. Várilly-Alvarado.

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

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.