Holographic particle localization under multiple scattering

Waleed Tahir; Ulugbek S. Kamilov; Lei Tian

doi:10.1117/1.AP.1.3.036003

18 June 2019 Holographic particle localization under multiple scattering

Waleed Tahir, Ulugbek S. Kamilov, Lei Tian

Author Affiliations +

Advanced Photonics, Vol. 1, Issue 3, 036003 (June 2019). https://doi.org/10.1117/1.AP.1.3.036003

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.

CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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Waleed Tahir, Ulugbek S. Kamilov, and Lei Tian "Holographic particle localization under multiple scattering," Advanced Photonics 1(3), 036003 (18 June 2019). https://doi.org/10.1117/1.AP.1.3.036003

Received: 8 March 2019; Accepted: 20 May 2019; Published: 18 June 2019

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Cited by 23 scholarly publications.

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KEYWORDS

Multiple scattering

Particles

3D modeling

Holograms

Scattering

Holography

Refractive index

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CHORUS Article. This article was made freely available starting 17 June 2020

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