Inverse Obstacle Scattering with Non-Over-Determined Scattering Data

The book delves into the complexities of the inverse obstacle scattering problem, focusing on determining an unknown object's surface from its scattering amplitude. It emphasizes the significance of non-over-determined scattering data, where the dimensionality matches that of the obstacle. The text defines essential concepts, such as the minimal variable count necessary for describing both the data and the object, highlighting that this count is two in the context of the inverse problem. An example is provided to illustrate these principles effectively.