Inverse Obstacle Scattering with Non-Over-Determined Scattering Data
The inverse obstacle scattering problem consists of finding the unknown surface of a body (obstacle) from the scattering ??(??;??;??), where ??(??;??;??) is the scattering amplitude, $??;?? ?? ??² is the direction of the scattered, incident wave, respectively, ??² is the unit sphere in the ℝ³ and k > 0 is the modulus of the wave vector.
The scattering data is called non-over-determined if its dimen...
The inverse obstacle scattering problem consists of finding the unknown surface of a body (obstacle) from the scattering ??(??;??;??), where ??(??;??;??) is the scattering amplitude, $??;?? ?? ??² is the direction of the scattered, incident wave, respectively, ??² is the unit sphere in the ℝ³ and k > 0 is the modulus of the wave vector.
The scattering data is called non-over-determined if its dimen...
