  The inverse scattering problem, whose goal is to reconstruct an unknown
scattering object from its scattered wave, is essential in fundamental wave
physics and its wide applications in imaging sciences. However, it remains
challenging to invert multiple scattering accurately and efficiently. Here, we
exploit the modified Born series to demonstrate an inverse problem solver that
efficiently and directly computes inverse multiple scattering without making
any assumptions. The inversion process is based on a physically intuitive
approach and can be easily extended to other exact forward solvers. We utilised
the proposed method in optical diffraction tomography and numerically and
experimentally demonstrated three-dimensional reconstruction of optically thick
specimens with higher fidelity than those obtained using conventional methods
based on the weak scattering approximation.
