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Damian Suski

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Proceedings Article | 21 June 2019 Paper

Comparative analysis of feedback methods in reconstruction algorithms for multiple-scattering holographic tomography

Julianna Winnik, Damian Suski, Tomasz Kozacki

Proceedings Volume 11056, 110562T (2019) https://doi.org/10.1117/12.2527408

KEYWORDS: Reconstruction algorithms, Refractive index, Tomography, Holography, Photonic crystal fibers, Wave propagation, Multiple scattering, Computer simulations

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Holographic tomography (HT) enables measurement of three-dimensional refractive index distribution of transparent micro-objects by merging information from multiple transmitted waves corresponding to various illumination directions. HT has proven its great potential in technical inspection and biomedical studies; nonetheless, its further progress is hindered by inability of the standard reconstruction algorithms to account for multiple scattering. This limitation has been recently addressed with a few novel reconstruction approaches. In those techniques the tomographic reconstruction is iteratively improved by minimizing discrepancy between the experimentally acquired transmitted fields u_E(x,y) and the analogical data u_q(x,y) obtained via numerical propagation of the incident beams through the current refractive index estimate n_q(x,y,z). The accuracy of these multiple-scattering reconstruction methods depends primarily on two features: (1) the forward model that allows computing the transmitted fields u_q; (2) the feedback mechanism that converts u_E - u_q discrepancy into the reconstruction upgrade n_q+1=n_q+Δn_q+1. In our work, we address the first issue with the wave propagation method that represents a reasonable trade-off between accuracy and time of computation. The paper focuses primary on the second issue, i.e. the feedback mechanism, that considerably influences the performance of the multiple-scattering reconstruction methods. In our work, we cross-analyze two feedback solutions, i.e. the gradient descent and the forward backward method. The performance of these solutions is tested via numerical simulations on different types of samples: step-objects representing technical samples and gradient structures emulating biological specimens. Our study investigates accuracy of the reconstruction, time of computation as well as stability and flexibility of the feedback method.

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