Dynamic Coherent Diffractive Imaging Using Only a Support Constraint in the Complex Plane
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arXiv
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| Format: | Preprint |
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2026
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| author | Tian, Yaocheng Tsuchiya, Taichi Chen-Wiegart, Yu-chen Karen Espinosa, Horacio D. Kunai, Yuichiro Barbastathis, George |
| author_facet | Tian, Yaocheng Tsuchiya, Taichi Chen-Wiegart, Yu-chen Karen Espinosa, Horacio D. Kunai, Yuichiro Barbastathis, George |
| contents | We show that a bounded temporal increment prior on the sample dynamics is sufficient to reconstruct a time-varying phase object from a near-field diffraction movie, under the thin-film approximation. The time evolution of the field is parameterized by a multiplicative inter-frame update factor, and a bound on its complex-plane support enforces a bounded phase increment and a passive amplitude constraint. Reconstruction of the dynamic field is thereby converted into a feasibility problem with two projection operators: a measurement-domain modulus projection and an object-domain circular-sector projection. We validate the approach experimentally using a spatial light modulator as a calibrated dynamic sample in two cases: a reaction--diffusion phase pattern with spatially expanding extent, and a growing phase pattern whose accumulated phase reaches $10π$. In both cases the reconstructed phase trajectory agrees well with the ground truth. We then apply the same framework, without modification, to in-situ monitoring of a photo-polymer 3D printing process, recovering the spatiotemporal phase induced by polymerization under a spatially patterned blue light. The reconstructed phase trajectory provides an observable for photo-chemical system identification and process control. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_24250 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamic Coherent Diffractive Imaging Using Only a Support Constraint in the Complex Plane Tian, Yaocheng Tsuchiya, Taichi Chen-Wiegart, Yu-chen Karen Espinosa, Horacio D. Kunai, Yuichiro Barbastathis, George Optics We show that a bounded temporal increment prior on the sample dynamics is sufficient to reconstruct a time-varying phase object from a near-field diffraction movie, under the thin-film approximation. The time evolution of the field is parameterized by a multiplicative inter-frame update factor, and a bound on its complex-plane support enforces a bounded phase increment and a passive amplitude constraint. Reconstruction of the dynamic field is thereby converted into a feasibility problem with two projection operators: a measurement-domain modulus projection and an object-domain circular-sector projection. We validate the approach experimentally using a spatial light modulator as a calibrated dynamic sample in two cases: a reaction--diffusion phase pattern with spatially expanding extent, and a growing phase pattern whose accumulated phase reaches $10π$. In both cases the reconstructed phase trajectory agrees well with the ground truth. We then apply the same framework, without modification, to in-situ monitoring of a photo-polymer 3D printing process, recovering the spatiotemporal phase induced by polymerization under a spatially patterned blue light. The reconstructed phase trajectory provides an observable for photo-chemical system identification and process control. |
| title | Dynamic Coherent Diffractive Imaging Using Only a Support Constraint in the Complex Plane |
| topic | Optics |
| url | https://arxiv.org/abs/2605.24250 |