Compressively sampling the optical transmission matrix of a multimode fibre.
Compressively sampling the optical transmission matrix of a multimode fibre.
复制标题
压缩多模纤维的光学传输矩阵。
DOI：
10.1038/s41377-021-00514-9
复制
发表时间：
2021-04-21
期刊：
影响因子：
--
通讯作者：
Phillips DB
中科院分区：
文献类型：
--
作者：
Li S;Saunders C;Lum DJ;Murray-Bruce J;Goyal VK;Čižmár T;Phillips DB
不透明材料的光传输矩阵（TM）的测量是空间变像差校正的一种高级形式。除了成像，基于tm的方法也出现在光通信、微操作和计算等一系列领域。在许多情况下，TM对它所代表的散射介质结构中的扰动非常敏感。因此，应用程序通常需要对脆弱的TM进行最新的表征，通常需要数百到数千个探头测量。在这里，我们探讨了如何使用压缩感知的框架来放松这些测量要求，在压缩感知中，结合先验信息可以从比我们旨在重建的TM的维度更少的测量中进行准确的估计。这种先验的例子包括连接输入和输出场的记忆效应的知识，光学系统的近似模型，或最近但退化的TM测量。我们通过重建多模光纤的全尺寸TM来证明这一概念，该多模光纤支持754个模式，压缩比低至~ 5%，保真度高。我们表明，在这种情况下，使用压缩比低至1%（8个探头测量）重建的TMs仍然可以成像。这种压缩TM采样策略非常普遍，可以应用于各种其他散射样品，包括扩散器、薄层组织、任何折射剖面的光纤和不透明墙壁的反射。这些方法为高维TMs的测量提供了一条途径，要么快速测量，要么只能获得有限数量的测量。
The measurement of the optical transmission matrix (TM) of an opaque material is an advanced form of space-variant aberration correction. Beyond imaging, TM-based methods are emerging in a range of fields, including optical communications, micro-manipulation, and computing. In many cases, the TM is very sensitive to perturbations in the configuration of the scattering medium it represents. Therefore, applications often require an up-to-the-minute characterisation of the fragile TM, typically entailing hundreds to thousands of probe measurements. Here, we explore how these measurement requirements can be relaxed using the framework of compressive sensing, in which the incorporation of prior information enables accurate estimation from fewer measurements than the dimensionality of the TM we aim to reconstruct. Examples of such priors include knowledge of a memory effect linking the input and output fields, an approximate model of the optical system, or a recent but degraded TM measurement. We demonstrate this concept by reconstructing the full-size TM of a multimode fibre supporting 754 modes at compression ratios down to ∼5% with good fidelity. We show that in this case, imaging is still possible using TMs reconstructed at compression ratios down to ∼1% (eight probe measurements). This compressive TM sampling strategy is quite general and may be applied to a variety of other scattering samples, including diffusers, thin layers of tissue, fibre optics of any refractive profile, and reflections from opaque walls. These approaches offer a route towards the measurement of high-dimensional TMs either quickly or with access to limited numbers of measurements.
登录
查看更多内容
影响因子：
3.6
作者：
Amitonova, Lyubov, V;de Boer, Johannes F.
通讯作者：
de Boer, Johannes F.
影响因子：
3.8
作者：
Gordon, George S. D.;Joseph, James;Bohndiek, Sarah E.
通讯作者：
Bohndiek, Sarah E.
影响因子：
1.9
作者：
BROWN, BR;LOHMANN, AW
通讯作者：
LOHMANN, AW
影响因子：
16.6
作者：
Caramazza, Piergiorgio;Moran, Oisin;Faccio, Daniele
通讯作者：
Faccio, Daniele
影响因子：
3.8
作者：
Carpenter, Joel;Eggleton, Benjamin J.;Schroeder, Jochen
通讯作者：
Schroeder, Jochen