Kavli Affiliate: Changhuei Yang
| First 5 Authors: Zhenyu Dong, Haowen Zhou, Ruizhi Cao, Oumeng Zhang, Shi Zhao
| Summary:
Three-dimensional (3D) refractive index (RI) tomography offers label-free,
quantitative volumetric imaging but faces limitations due to optical
aberrations, limited resolution, and the computational complexity inherent to
existing approaches. To overcome these barriers, we propose Analytic Fourier
Ptychotomography (AFP), a new computational microscopy technique that
analytically reconstructs aberration-free, complex-valued 3D RI distributions
without iterative optimization or axial scanning. AFP incorporates a new
concept called the finite sample thickness (FST) prior, and analytically solves
the inverse scattering problem through three sequential steps: complex-field
reconstruction via the Kramers-Kronig relation, linear aberration correction
using overlapping spectra, and analytic spectrum extension into the darkfield
region. Unlike iterative reconstruction methods, AFP does not require parameter
tuning or computationally intensive optimizations, which are often error-prone
and non-generalizable. We experimentally demonstrate that AFP significantly
enhances image quality and resolution under various aberration conditions
across a range of applications. AFP corrected aberrations associated with 25
Zernike modes (with a maximal phase difference of 2.3$pi$ and maximal Zernike
coefficient value of 4), extended the synthetic numerical aperture from 0.41 to
0.99, and provided a two-fold resolution enhancement in all directions. AFP’s
simplicity and robustness make it an attractive imaging technology for
quantitative 3D analysis in biological, microbial ecological, and medical
studies.
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