Compressively sampling the optical transmission matrix of a multimode fibre

Shuhui Li; Charles Saunders; Daniel J. Lum; John Murray-Bruce; Vivek K Goyal; Tomáš Čižmár; David B. Phillips

doi:10.1038/s41377-021-00514-9

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Compressively sampling the optical transmission matrix of a multimode fibre

Articles

- Compressively sampling the optical transmission matrix of a multimode fibre
- Light: Science & Applications Vol. 10, Issue 5, Pages: 916-930(2021)
- Affiliations：
  
  1.School of Physics and Astronomy, University of Exeter, Exeter, EX4 4QL, UK
  2.Wuhan National Laboratory for Optoelectronics, School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China
  3.Department of Electrical and Computer Engineering, Boston University, Boston, MA, 02215, USA
  4.Department of Physics and Astronomy, University of Rochester, 500 Wilson Blvd, Rochester, NY, 14618, USA
  5.Department of Computer Science and Engineering, University of South Florida, Tampa, FL, 33620, USA
  6.Leibniz Institute of Photonic Technology, Albert-Einstein-Straße 9, 07745, Jena, Germany
  7.Institute of Scientific Instruments of CAS, Královopolská 147, 612 64, Brno, Czech Republic
- Author bio：
  
  Shuhui Li (shli@hust.edu.cn)
  David B. Phillips (d.phillips@exeter.ac.uk)
- Funds：
- DOI：10.1038/s41377-021-00514-9
  CLC：
- Published：31 May 2021，
  
  Published Online：21 April 2021，
  
  Received：24 August 2020，
  
  Revised：24 February 2021，
  
  Accepted：16 March 2021
- Accepted：
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Li, S. H. et al. Compressively sampling the optical transmission matrix of a multimode fibre. Light: Science & Applications, 10, 916-930 (2021).
DOI：

Li, S. H. et al. Compressively sampling the optical transmission matrix of a multimode fibre. Light: Science & Applications, 10, 916-930 (2021). DOI： 10.1038/s41377-021-00514-9.

摘要

Abstract

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.

关键词

Keywords

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