Structural basin

Physics

Quantum inverse scattering method

Inverse problem

Inverse scattering transform

Inversion (geology)

Mathematics

Born approximation

Biology

Algorithm

Optics

Mathematical optimization

Mathematical analysis

Series (stratigraphy)

Inverse scattering problem

Paleontology

Diffraction

Scattering

Inverse

Geometry

Diffraction tomography

Solver

Computer science

Optica

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 utilize the proposed method in optical diffraction tomography and numerically and experimentally demonstrate 3D reconstruction of optically thick specimens with higher fidelity than those obtained using conventional methods based on the weak scattering approximation.

Inverse problem solver for multiple light scattering using modified Born series