arXiv:2604.03564eess.IV2026-04

无需参考光束,用自参考干涉实现稳定波前感知

Provable and Robust Wavefront Sensing via Self-Reference Interferometry

论文配图:Provable and Robust Wavefront Sensing via Self-Reference Interferometry
图 1 · 摘自论文原文
  • 通过波前移位后自干涉,获取像素间相位差
  • 仅需8次测量即可完整恢复相位,误差可控
  • 适合光学成像、生物检测等需高鲁棒性的场景

波前感知旨在估计光的相位与强度,广泛应用于自适应光学、天文学和生物医学成像。由于传统图像传感器只能测量空间强度分布,相位恢复成为核心挑战。传统干涉方法如相位移干涉(PSI)依赖稳定参考光束,在实际中难以实现。为此,我们提出一种新型自参考框架,利用入射波的移位副本之间的干涉,获得像素间的相位差。基于这些差值在连通图上的传播,我们建立了完整的相位恢复解析解。理论分析证明,互质移位可保证图连通性,并约束最坏情况下的误差累积,实现可证明的鲁棒性。大量仿真显示,仅需8次移位测量即可完整恢复相位,优于多种现有方法。最后,通过硬件原型验证了该框架在光学相位恢复、自动对焦及散射介质成像中的有效性。

原文摘要 · Abstract (English)

Wavefront sensing involves estimating the phase and intensity of light, enabling a wide range of imaging applications, from adaptive optics and astronomy to biomedical imaging. Since conventional image sensors can only measure the spatial intensity distribution, phase retrieval arises as the central problem in wavefront sensing. Conventional interferometric approaches like phase-shifting interferometry (PSI) can recover phase information, but they rely on a stable reference beam that is difficult to realize in practical settings. To overcome this limitation, we propose a novel self-reference framework that relies on interference between shifted copies of the incoming wave; this results in pairwise phase differences between shifted pixels. We formulate an analytical solution for the complete phase retrieval based on the propagation of these differences across a connected graph. Furthermore, we provide a theoretical analysis of optimal measurement patterns, proving that co-prime shifts guarantee a connected graph and bound worst-case error accumulation, yielding a provably robust method. Extensive simulations demonstrate that complete phase profiles can be recovered from as few as eight shifted measurements, outperforming several existing approaches. Finally, we validate our framework using a hardware prototype, demonstrating real experiments for optical phase profile recovery, auto-refocusing, and imaging through scattering media.

波前感知自参考干涉相位恢复光学成像

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