Inverse problem solver for multiple light scattering using modified Born series

Abstract

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.

Barrier properties of Nup98 FG phases ruled by FG motif identity and inter-FG spacer length

“…The image acquisition, field retrieval, and RI tomogram reconstruction were performed using custom-written MATLAB scripts (R2020a). Several reconstruction algorithms have also been developed for reconstructing RI tomograms of samples encountering multiple light scattering 91 , 92 , which can extend the characterization of samples with heterogeneous density distribution or higher mass density if required. The mean RI value of each sample was measured by manually segmenting regions of interest (ROIs) from the central slice of the reconstructed tomogram using FIJI 2.9.0 93 .…”

High-resolution assessment of multidimensional cellular mechanics using label-free refractive-index traction force microscopy

“…The transmitted field images of the sample were holographically recorded with 91 different incident angles of plane waves using an off-axis Mach-Zehnder interferometer. From the obtained holograms, we reconstructed a 3D RI tomogram using a constrained total variation deconvolution algorithm 15, 16 . The spatial resolution of the tomogram was 161 nm lateral and 401 nm axial, as previously measured 17 .…”

High-fidelity optical diffraction tomography of live organisms using non-toxic tunable refractive index media

“…For example, issues related to strongly inhomogeneous distributions of RI inside biological samples or distinctly high RI regions inside a sample may be completely addressed by index matching between the sample and the surrounding medium. The unaddressed multiple scattering issues can be resolved using a reconstruction algorithm that considers multiple light scattering [51][52][53]. In addition, machine-learning approaches can be utilized to further suppress multiple light-scattering effects [54].…”