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Main Authors: Zhao, Qianhao, Hong, Zhixuan, Wang, Ruihai, Wang, Tianbo, Jiang, Lingzhi, Ma, Qiong, Lu, Peng-Han, Dunin-Borkowski, Rafal E., Maiden, Andrew, Zheng, Guoan
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.17694
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author Zhao, Qianhao
Hong, Zhixuan
Wang, Ruihai
Wang, Tianbo
Jiang, Lingzhi
Ma, Qiong
Lu, Peng-Han
Dunin-Borkowski, Rafal E.
Maiden, Andrew
Zheng, Guoan
author_facet Zhao, Qianhao
Hong, Zhixuan
Wang, Ruihai
Wang, Tianbo
Jiang, Lingzhi
Ma, Qiong
Lu, Peng-Han
Dunin-Borkowski, Rafal E.
Maiden, Andrew
Zheng, Guoan
contents Ptychography spans from sub-angstrom to meter scales yet suffers from convergence instability and excessive data redundancy. Here we introduce self-correcting residual neural fields as a dose-efficient framework for electron, X-ray, and optical ptychography. Unlike approaches that split complex fields, our complex-valued architecture employs holomorphic phasor activation e^iωz to preserve intrinsic phase-amplitude coupling. We reformulate reconstruction as residual learning, where the network learns only corrections to physical priors rather than complete wavefields. By embedding the physical model as a differentiable layer within the network, we enable end-to-end automatic differentiation where experimental parameters are jointly corrected alongside the neural fields. We validate our scheme across conventional, near-field, coded, and Fourier ptychography and achieve record-breaking lensless resolution of 244-nm linewidth with visible light. Extending to electron wavelengths, we reveal synaptic connectivity in brain sections with superior performance over conventional approaches. Our framework provides a solution for high-throughput, dose-efficient nanoscopy across the electromagnetic spectrum.
format Preprint
id arxiv_https___arxiv_org_abs_2601_17694
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Residual neural-field ptychography for dose-efficient electron, X-ray, and optical nanoscopy
Zhao, Qianhao
Hong, Zhixuan
Wang, Ruihai
Wang, Tianbo
Jiang, Lingzhi
Ma, Qiong
Lu, Peng-Han
Dunin-Borkowski, Rafal E.
Maiden, Andrew
Zheng, Guoan
Optics
Computational Physics
Ptychography spans from sub-angstrom to meter scales yet suffers from convergence instability and excessive data redundancy. Here we introduce self-correcting residual neural fields as a dose-efficient framework for electron, X-ray, and optical ptychography. Unlike approaches that split complex fields, our complex-valued architecture employs holomorphic phasor activation e^iωz to preserve intrinsic phase-amplitude coupling. We reformulate reconstruction as residual learning, where the network learns only corrections to physical priors rather than complete wavefields. By embedding the physical model as a differentiable layer within the network, we enable end-to-end automatic differentiation where experimental parameters are jointly corrected alongside the neural fields. We validate our scheme across conventional, near-field, coded, and Fourier ptychography and achieve record-breaking lensless resolution of 244-nm linewidth with visible light. Extending to electron wavelengths, we reveal synaptic connectivity in brain sections with superior performance over conventional approaches. Our framework provides a solution for high-throughput, dose-efficient nanoscopy across the electromagnetic spectrum.
title Residual neural-field ptychography for dose-efficient electron, X-ray, and optical nanoscopy
topic Optics
Computational Physics
url https://arxiv.org/abs/2601.17694