Angular Memory Effect of Transmission Eigenchannels

Abstract

The optical memory effect has emerged as a powerful tool for imaging through multiple-scattering media; however, the finite angular range of the memory effect limits the field of view. Here, we demonstrate experimentally that selective coupling of incident light into a high-transmission channel increases the angular memory-effect range. This enhancement is attributed to the robustness of the high-transmission channels against such perturbations as sample tilt or wavefront tilt. Our work shows that the high-transmission channels provide an enhanced field of view for memory effect-based imaging through diffusive media. arXiv:1906.06460v1 [physics.optics]

Optical transmission matrix measurement sampled on a dense hexagonal lattice

“…These channels are useful in imaging and communication [5,10] and are an important building block of quantum transport theory in scattering samples [11][12][13][14][15]. The predicted theoretical distribution of the singular values in a multiple scattering waveguide is a bimodal distribution known as the Dorokhov-Mello-Pereyra-Kumar curve [16,17] and the properties of transmission channels are a subject of recent intense research [7,10,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. In an open optical system, the finite field of view and finite numerical aperture of the optics and the escape of energy parallel to the surface of the sample make it impossible to measure the complete matrix.…”

High-performance transmission of optical vortices through scattering media with opaque-lens field transformation theory

“…Hence, the acceptable maximum thickness is written as L max ∝ 1 ∆k. This limitation is similar to that posed by the memory effect, because there exists an inherent connection between the transverse spreading and the memory effect 33 . Finally, our technology will be attractive to the practical applications that transmit complex light fields through thin scattering layers such as eggshell, scarfskin and thin skull.…”

Memory effect assisted imaging through multimode optical fibres

“…We now consider the factors that govern the area of the isoplanatic patch at the distal facet of the MMF. The angular extent of the tilt–tilt memory effect, α , is related to a single parameter describing the sample: the thickness of the scattering layer L s , so that α ~ λ /(2 π L s ), where λ is the incident wavelength 13 . This raises the question of whether it is also possible to derive a similar equation describing the limits of the memory effects in MMFs.…”

“…To overcome this limitation and look inside scattering en-vironments, a useful suite of tools has emerged in the form of optical memory effects: the presence of underlying correlations between the incident and transmitted fields [10][11][12][13]. These hidden correlations have been extensively studied in thin randomly scattering layers which have direct applications to imaging through biological tissue.…”