Inverse scattering theory

Inverse scattering theory is a mathematical framework used to determine the internal properties of an object or medium by analyzing how waves (like light, sound, or other signals) bounce off or pass through it. Essentially, it works backwards: from observations of scattered waves, it reconstructs information about what's inside or hidden. This technique is valuable in fields like medical imaging, geophysics, and radar, enabling scientists to see inside objects without physically opening or damaging them, by interpreting the way waves are reflected or transmitted.