Abstract

We demonstrate a label-free, scan-free {\it intensity} diffraction tomography technique utilizing annular illumination (aIDT) to rapidly characterize large-volume 3D refractive index distributions in vitro. By optimally matching the illumination geometry to the microscope pupil, our technique reduces the data requirement by 60$\times$ to achieve high-speed 10 Hz volume rates. Using 8 intensity images, we recover $\sim350\times100\times20\mu$m$^3$ volumes with near diffraction-limited lateral resolution of 487 nm and axial resolution of 3.4 $\mu$m. Our technique's large volume rate and high resolution enables 3D quantitative phase imaging of complex living biological samples across multiple length scales. We demonstrate aIDT's capabilities on unicellular diatom microalgae, epithelial buccal cell clusters with native bacteria, and live \emph{Caenorhabditis elegans} specimens. Within these samples, we recover macro-scale cellular structures, subcellular organelles, and dynamic micro-organism tissues with minimal motion artifacts. Quantifying such features has significant utility in oncology, immunology, and cellular pathophysiology, where these morphological features are evaluated for changes in the presence of disease, parasites, and new drug treatments. Finally, we simulate our aIDT system to highlight the accuracy and sensitivity of our technique. aIDT shows promise as a powerful high-speed, label-free computational microscopy technique applications where natural imaging is required to evaluate environmental effects on a sample in real-time. We provide example datasets and an open source implementation of aIDT at \href{https://github.com/bu-cisl/IDT-using-Annular-Illumination}{https://github.com/bu-cisl/IDT-using-Annular-Illumination}.

Highlights

  • Three-dimensional (3-D) refractive index (RI) distributions of cells and tissues are useful for the morphological detection and diagnosis of disease in biomedical imaging.[1]

  • The alternative approach we demonstrate here uses intensityonly measurements for Quantitative phase imaging (QPI) based on the principle of intensity diffraction tomography (IDT).[30]

  • The results show that annular illumination IDT (aIDT) is robust to motion artifacts and resolves internal features during high-speed worm motion, as clearly demonstrated in Video 6

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Summary

Introduction

Three-dimensional (3-D) refractive index (RI) distributions of cells and tissues are useful for the morphological detection and diagnosis of disease in biomedical imaging.[1]. We present a scan-free, high-speed intensity diffraction tomography (IDT) technique based on a standard microscope modified with an annular LED illumination hardware unit. Our technique reduces the data requirement by more than 60 times, achieving more than 10-Hz for imaging a volume of ∼350 μm × 100 μm × 20 μm, with near diffraction-limited lateral resolution of 487 nm and axial resolution of 3.4 μm in the 3-D RI reconstruction These improvements enable in vitro dynamic 3-D RI characterizations of living biological samples. We develop an illumination-based IDT theory that highlights the optimal imaging condition achieved by matching the illumination angle with the objective numerical aperture (NA) This illumination scheme optimally encodes both low- and high-spatial frequency RI information across the entire 3-D volume using a small number of intensity measurements. We simulate our aIDT system to show accurate reconstructions within 1 × 10−3 of the object’s true RI and sensitivity to RI changes of 2 × 10−4 under our system’s signal-to-noise ratio (SNR) for weakly scattering objects

Methods
Transfer Function Analysis
Three-Dimensional RI Reconstruction Algorithm
System Setup
Self-Calibration Method
Angle Self-Calibration and Performance Characterization
Tomographic Characterization of Surirella spiralis
RI Tomography on Cell Clusters
Discussion
Full Text
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