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math.AP2022★ 1 cited
Recovery of piecewise smooth density and Lamé parameters from high-frequency exterior Cauchy data
Sombuddha Bhattacharyya, Maarten V. de Hoop, Vitaly Katsnelson +1
We consider an isotropic elastic medium occupying a bounded domain D whose density and Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we a…
math.AP2022★ 1 cited
Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators
Sombuddha Bhattacharyya, Maarten V. de Hoop, Vitaly Katsnelson +1
We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been exploited for decades in (explorati…