2019
DOI: 10.1364/ol.44.002137
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Manipulating the transmission matrix of scattering media for nonlinear imaging beyond the memory effect

Abstract: The measurement of the Transmission Matrix (TM) of a scattering medium is of great interest for imaging. It can be acquired directly by interferometry using an internal reference wavefront. Unfortunately, internal reference fields are scattered by the medium which results in a speckle that makes the TM measurement heterogeneous across the output field of view. We demonstrate how to correct for this effect using the intrinsic properties of the TM. For thin scattering media, we exploit the memory effect of the m… Show more

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Cited by 21 publications
(11 citation statements)
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“…2b. Nevertheless, lateral effects along the ( , ) transverse dimensions are non-negligible only away from the propagation axis, as previously observed in nonlinear refocus-scanning imaging [23].…”
Section: D Speckle Spectral Correlationssupporting
confidence: 66%
“…2b. Nevertheless, lateral effects along the ( , ) transverse dimensions are non-negligible only away from the propagation axis, as previously observed in nonlinear refocus-scanning imaging [23].…”
Section: D Speckle Spectral Correlationssupporting
confidence: 66%
“…4(a) shows measured intensity maps for both ω 𝑝 and ω 𝑠 , as deduced from scanning a refocus in the image plane using a 200 nm-step (2 camera pixels in the image plane), through a 300 m thick spinal cord tissue slice. For each TM strategy described above, correction for the heterogeneity of the reference speckles was ensured using a complementary speckle compensation method described in reference [24]. Fields of views of about 40x40 m 2 are obtained, which surpasses the angular memory effect of the scattering medium [24] since the method is not based on spatial memory limitations.…”
Section: Resultsmentioning
confidence: 99%
“…For each TM strategy described above, correction for the heterogeneity of the reference speckles was ensured using a complementary speckle compensation method described in reference [24]. Fields of views of about 40x40 m 2 are obtained, which surpasses the angular memory effect of the scattering medium [24] since the method is not based on spatial memory limitations. The Homogeneity of the obtained image is best for TMinterm and slightly less performant for TMcoh, which is most probably due to the fact that a single correction for the speckle heterogeneities is performed for both wavelengths in this case.…”
Section: Resultsmentioning
confidence: 99%
“…This could be improved using spiral phases, as in Ref. [ 11 ], to increase the performance. Note that in the reflection geometry one cannot use an external reference.…”
Section: Discussionmentioning
confidence: 99%
“…There are two options to implement the reference field: through an external reference arm or through an internal reference using part of the SLM active area. While the former takes advantage of all the degrees of freedom of the SLM and generates a uniform reference, the latter is more stable and provides only a speckled reference [ 11 ]. The transmission matrix can also be retrieved without a reference arm, using phase retrieval algorithms based on several calibrations [ 12 ].…”
mentioning
confidence: 99%