We introduce a method for reconstructing phase objects in optical diffraction tomography (ODT) based on regularized convex optimization with a new phase-based fidelity criterion. The new criterion is necessary because objects of different refractive-index distributions may produce similar diffracted fields (magnitude and principal-phase) on the detection planes. This surjective, but non-injective relation, attributed to the cyclical nature of the phase, makes optimization algorithms using field-based cost functions prone to local minima that degrade reconstructive accuracy—particularly for objects introducing large optical pathlength difference. A phase-based optimization algorithm that avoids this problem has been developed and tested successfully using simulated data from phantoms and experimental data measured from optical fibers.

中文翻译：

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使用优化和基于相位的保真度标准的光学衍射断层扫描

我们介绍了一种基于正则化凸优化和新的基于相位的保真度标准的光学衍射断层扫描 (ODT) 中的相位对象重建方法。新标准是必要的，因为不同折射率分布的物体可能会在检测平面上产生相似的衍射场（幅度和主相位）。这种满射但非射的关系归因于相位的循环性质，使得使用基于场的成本函数的优化算法容易出现局部最小值，从而降低重建精度——尤其是对于引入大光程差的物体。已开发出一种基于相位的优化算法，并使用来自体模的模拟数据和从光纤测量的实验数据成功开发并测试了该算法。