• Advanced Photonics
  • Vol. 1, Issue 3, 036003 (2019)
Waleed Tahir1, Ulugbek S. Kamilov2、3, and Lei Tian1、*
Author Affiliations
  • 1Boston University, Department of Electrical and Computer Engineering, Boston, Massachusetts, United States
  • 2Washington University in St. Louis, Department of Electrical and Systems Engineering, St. Louis, Missouri, United States
  • 3Washington University in St. Louis, Department of Computer Science and Engineering, St. Louis, Missouri, United States
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    DOI: 10.1117/1.AP.1.3.036003 Cite this Article
    Waleed Tahir, Ulugbek S. Kamilov, Lei Tian. Holographic particle localization under multiple scattering[J]. Advanced Photonics, 2019, 1(3): 036003 Copy Citation Text show less

    Abstract

    We introduce a computational framework that incorporates multiple scattering for large-scale three-dimensional (3-D) particle localization using single-shot in-line holography. Traditional holographic techniques rely on single-scattering models that become inaccurate under high particle densities and large refractive index contrasts. Existing multiple scattering solvers become computationally prohibitive for large-scale problems, which comprise millions of voxels within the scattering volume. Our approach overcomes the computational bottleneck by slicewise computation of multiple scattering under an efficient recursive framework. In the forward model, each recursion estimates the next higher-order multiple scattered field among the object slices. In the inverse model, each order of scattering is recursively estimated by a nonlinear optimization procedure. This nonlinear inverse model is further supplemented by a sparsity promoting procedure that is particularly effective in localizing 3-D distributed particles. We show that our multiple-scattering model leads to significant improvement in the quality of 3-D localization compared to traditional methods based on single scattering approximation. Our experiments demonstrate robust inverse multiple scattering, allowing reconstruction of 100 million voxels from a single 1-megapixel hologram with a sparsity prior. The performance bound of our approach is quantified in simulation and validated experimentally. Our work promises utilization of multiple scattering for versatile large-scale applications.

    1 Introduction

    Three-dimensional (3-D) particle-localization using in-line holography is fundamental to many applications, such as biological sample characterization,1,2 flow cytometry,3,4 fluid mechanics,5,6 and optical measurement.79 Reconstructing dense samples, however, remains challenging.10 Standard backpropagation method (BPM) can only handle low particle density.10 Compressive holography based on the first Born approximation significantly improves upon BPM by imposing sparsity constraints.11,12 However, it suffers from an underlying single scattering assumption, which becomes invalid at high particle densities where multiple scattering effects become significant. In this work, we propose a framework that accounts for multiple scattering in in-line digital holography and enables accurate 3-D particle localization at high density in a computationally efficient fashion.

    Waleed Tahir, Ulugbek S. Kamilov, Lei Tian. Holographic particle localization under multiple scattering[J]. Advanced Photonics, 2019, 1(3): 036003
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