基于修正玻恩级数的多次光散射反问题求解
Inverse problem solver for multiple light scattering using modified Born series
摘要：
逆散射问题是基础波物理学中的重要问题，在成像科学中有着广泛的应用，其目标是从未知散射物体的散射波中重建未知散射物体。然而，准确有效地反演多次散射仍然具有挑战性。在这里，我们利用修改后的玻恩级数来演示一个反问题求解器，它可以有效地直接计算逆多次散射，而不需要做任何假设。反演过程是基于物理直观的方法，可以很容易地扩展到其他精确的正演求解器。我们利用所提出的方法在光学衍射层析成像和数值模拟和实验证明了三维重建的光学厚标本具有更高的保真度比使用传统的方法的基础上获得的弱散射近似。
英文摘要：
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.
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