Sparsity-based single-shot subwavelength coherent diffractive imaging

A. Szameit; Y. Shechtman; E. Osherovich; E. Bullkich; P. Sidorenko; H. Dana; S. Steiner; E. B. Kley; S. Gazit; T. Cohen-Hyams; S. Shoham; M. Zibulevsky; I. Yavneh; Y. C. Eldar; O. Cohen; M. Segev

doi:10.1038/nmat3289

Sparsity-based single-shot subwavelength coherent diffractive imaging

A. Szameit^*, Y. Shechtman, E. Osherovich, E. Bullkich, P. Sidorenko, H. Dana, S. Steiner, E. B. Kley, S. Gazit, T. Cohen-Hyams, S. Shoham, M. Zibulevsky, I. Yavneh, Y. C. Eldar, O. Cohen, M. Segev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

179 Scopus citations

Abstract

Coherent Diffractive Imaging (CDI) is an algorithmic imaging technique where intricate features are reconstructed from measurements of the freely diffracting intensity pattern. An important goal of such lensless imaging methods is to study the structure of molecules that cannot be crystallized. Ideally, one would want to perform CDI at the highest achievable spatial resolution and in a single-shot measurement such that it could be applied to imaging of ultrafast events. However, the resolution of current CDI techniques is limited by the diffraction limit, hence they cannot resolve features smaller than one half the wavelength of the illuminating light. Here, we present sparsity-based single-shot subwavelength resolution CDI: algorithmic reconstruction of subwavelength features from far-field intensity patterns, at a resolution several times better than the diffraction limit. This work paves the way for subwavelength CDI at ultrafast rates, and it can considerably improve the CDI resolution with X-ray free-electron lasers and high harmonics.

Original language	English
Pages (from-to)	455-459
Number of pages	5
Journal	Nature Materials
Volume	11
Issue number	5
DOIs	https://doi.org/10.1038/nmat3289
State	Published - May 2012
Externally published	Yes

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title = "Sparsity-based single-shot subwavelength coherent diffractive imaging",

abstract = "Coherent Diffractive Imaging (CDI) is an algorithmic imaging technique where intricate features are reconstructed from measurements of the freely diffracting intensity pattern. An important goal of such lensless imaging methods is to study the structure of molecules that cannot be crystallized. Ideally, one would want to perform CDI at the highest achievable spatial resolution and in a single-shot measurement such that it could be applied to imaging of ultrafast events. However, the resolution of current CDI techniques is limited by the diffraction limit, hence they cannot resolve features smaller than one half the wavelength of the illuminating light. Here, we present sparsity-based single-shot subwavelength resolution CDI: algorithmic reconstruction of subwavelength features from far-field intensity patterns, at a resolution several times better than the diffraction limit. This work paves the way for subwavelength CDI at ultrafast rates, and it can considerably improve the CDI resolution with X-ray free-electron lasers and high harmonics.",

author = "A. Szameit and Y. Shechtman and E. Osherovich and E. Bullkich and P. Sidorenko and H. Dana and S. Steiner and Kley, {E. B.} and S. Gazit and T. Cohen-Hyams and S. Shoham and M. Zibulevsky and I. Yavneh and Eldar, {Y. C.} and O. Cohen and M. Segev",

note = "Funding Information: This work was partially supported by an Advanced Grant from the European Research Council. A.S. thanks the Leopoldina—the German Academy of Natural Sciences for financial support (grant LPDS 2009-13). The research of O.C., E.B. and P.S. was supported by the Legacy Heritage Science Initiative Program ({\textquoteleft}MORASHA{\textquoteright}) of the Israel Science Foundation.",

year = "2012",

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doi = "10.1038/nmat3289",

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AU - Szameit, A.

AU - Shechtman, Y.

AU - Osherovich, E.

AU - Bullkich, E.

AU - Sidorenko, P.

AU - Dana, H.

AU - Steiner, S.

AU - Kley, E. B.

AU - Gazit, S.

AU - Cohen-Hyams, T.

AU - Shoham, S.

AU - Zibulevsky, M.

AU - Yavneh, I.

AU - Eldar, Y. C.

AU - Cohen, O.

AU - Segev, M.

N1 - Funding Information: This work was partially supported by an Advanced Grant from the European Research Council. A.S. thanks the Leopoldina—the German Academy of Natural Sciences for financial support (grant LPDS 2009-13). The research of O.C., E.B. and P.S. was supported by the Legacy Heritage Science Initiative Program (‘MORASHA’) of the Israel Science Foundation.

PY - 2012/5

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N2 - Coherent Diffractive Imaging (CDI) is an algorithmic imaging technique where intricate features are reconstructed from measurements of the freely diffracting intensity pattern. An important goal of such lensless imaging methods is to study the structure of molecules that cannot be crystallized. Ideally, one would want to perform CDI at the highest achievable spatial resolution and in a single-shot measurement such that it could be applied to imaging of ultrafast events. However, the resolution of current CDI techniques is limited by the diffraction limit, hence they cannot resolve features smaller than one half the wavelength of the illuminating light. Here, we present sparsity-based single-shot subwavelength resolution CDI: algorithmic reconstruction of subwavelength features from far-field intensity patterns, at a resolution several times better than the diffraction limit. This work paves the way for subwavelength CDI at ultrafast rates, and it can considerably improve the CDI resolution with X-ray free-electron lasers and high harmonics.

AB - Coherent Diffractive Imaging (CDI) is an algorithmic imaging technique where intricate features are reconstructed from measurements of the freely diffracting intensity pattern. An important goal of such lensless imaging methods is to study the structure of molecules that cannot be crystallized. Ideally, one would want to perform CDI at the highest achievable spatial resolution and in a single-shot measurement such that it could be applied to imaging of ultrafast events. However, the resolution of current CDI techniques is limited by the diffraction limit, hence they cannot resolve features smaller than one half the wavelength of the illuminating light. Here, we present sparsity-based single-shot subwavelength resolution CDI: algorithmic reconstruction of subwavelength features from far-field intensity patterns, at a resolution several times better than the diffraction limit. This work paves the way for subwavelength CDI at ultrafast rates, and it can considerably improve the CDI resolution with X-ray free-electron lasers and high harmonics.

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Sparsity-based single-shot subwavelength coherent diffractive imaging

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