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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.20676 |
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| _version_ | 1866915833682329600 |
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| author | Li, Tongyu Shen, Yi Dong, Dashan Jia, Danchen Ao, Jianpeng Cheng, Ji-Xin Tian, Lei |
| author_facet | Li, Tongyu Shen, Yi Dong, Dashan Jia, Danchen Ao, Jianpeng Cheng, Ji-Xin Tian, Lei |
| contents | Forward and backward scattering provide complementary volumetric and interfacial information, yet conventional three-dimensional (3D) imaging typically accesses only one. In this Letter, we present a substrate-enhanced diffraction tomography approach that simultaneously recovers both channels under multi-angle epi-illumination.This geometry captures one forward- and two backward-scattering bands in axially symmetric Fourier regions, where their complementary coverage enables phase-absorption separation in a non-Hermitian spectrum. Explicit 3D transfer functions are derived for both channels, and an axial Kramers-Kronig relation is established to incorporate substrate-induced boundary conditions in a unified framework. Our results establish a label-free, high-resolution 3D imaging modality that surpasses the limits of existing methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20676 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transfer-Function Approach to Substrate-Enhanced Diffraction Tomography Li, Tongyu Shen, Yi Dong, Dashan Jia, Danchen Ao, Jianpeng Cheng, Ji-Xin Tian, Lei Optics Forward and backward scattering provide complementary volumetric and interfacial information, yet conventional three-dimensional (3D) imaging typically accesses only one. In this Letter, we present a substrate-enhanced diffraction tomography approach that simultaneously recovers both channels under multi-angle epi-illumination.This geometry captures one forward- and two backward-scattering bands in axially symmetric Fourier regions, where their complementary coverage enables phase-absorption separation in a non-Hermitian spectrum. Explicit 3D transfer functions are derived for both channels, and an axial Kramers-Kronig relation is established to incorporate substrate-induced boundary conditions in a unified framework. Our results establish a label-free, high-resolution 3D imaging modality that surpasses the limits of existing methods. |
| title | Transfer-Function Approach to Substrate-Enhanced Diffraction Tomography |
| topic | Optics |
| url | https://arxiv.org/abs/2509.20676 |