3 papers
math.AP2003
Radiation Fields, Scattering and Inverse Scattering on Asymptotically Hyperbolic Manifolds
Antonio Sa Barreto
In analogy with radiation fields for asymptotically Euclidean manifolds, introduced by F.G. Friedlander, we define radiation fields for asymptotically hyperbolic manifolds. We use…
math.AP2003
The radiation field is a Fourier integral operator
Antonio Sa Barreto, Jared Wunsch
We exhibit the form of the ``radiation field,'' describing the large-scale, long-time behavior of solutions to the wave equation on a manifold with no trapped rays, as a Fourier in…
math.SP1998
Inverse Scattering on Asymptotically Hyperbolic Manifolds
Mark S. Joshi, Antonio Sa Barreto
Scattering is defined on compact manifolds with boundary which are equipped with an asymptotically hyperbolic metric, A model form is established for such metrics close to the…