3 papers
math.DG2015
Injectivity and stability for a generic class of generalized Radon transforms
Andrew Homan, Hanming Zhou
Let (M,g) be an analytic, compact, Riemannian manifold with boundary, of dimension n >= 2. We study a class of generalized Radon transforms, integrating over a family of hypersurfa…
math.AP2014
Cancellation of Singularities in SAR for Curved Flight Paths and Non-Flat Topography
Andrew Homan
We consider a mathematical model of synthetic aperture radar (SAR) with a known, possibly non-flat, topography. In this context we consider the problem of recovering the wavefront…
math.AP2012
Multi-wave imaging in attenuating media
Andrew Homan
We consider a mathematical model of thermoacoustic tomography and other multi-wave imaging techniques with variable sound speed and attenuation. We find that a Neumann series recon…