Ptychographic amplitude and phase reconstruction of bichromatic vortex beams
Abstract
We experimentally demonstrate that ptychographic coherent diffractive imaging can be used to simultaneously characterize the amplitude and phase of bichromatic orbital angular momenta-shaped vortex beams, which consist of a fundamental field, together with its copropagating second-harmonic field. In contrast to most other orbital angular momentum characterization methods, this approach solves for the complex field of a hyperspectral beam. Lastly, this technique can also be used to characterize other phase-structured illumination beams, and, in the future, will be able to be extended to other complex fields in the extreme ultraviolet or X-ray spectral regions, as well as to matter waves.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Colorado, Boulder, CO (United States). The Regents; Univ. of Colorado, Boulder, CO (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); BBVA Foundation
- OSTI Identifier:
- 1486899
- Alternate Identifier(s):
- OSTI ID: 1487214; OSTI ID: 1907877
- Grant/Contract Number:
- FG02-99ER14982
- Resource Type:
- Published Article
- Journal Name:
- Optics Express
- Additional Journal Information:
- Journal Name: Optics Express Journal Volume: 26 Journal Issue: 26; Journal ID: ISSN 1094-4087
- Publisher:
- Optical Society of America (OSA)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Esashi, Y., Liao, C. -T., Wang, B., Brooks, N., Dorney, K. M., Hernández-García, C., Kapteyn, H., Adams, D., and Murnane, M. Ptychographic amplitude and phase reconstruction of bichromatic vortex beams. United States: N. p., 2018.
Web. doi:10.1364/OE.26.034007.
Esashi, Y., Liao, C. -T., Wang, B., Brooks, N., Dorney, K. M., Hernández-García, C., Kapteyn, H., Adams, D., & Murnane, M. Ptychographic amplitude and phase reconstruction of bichromatic vortex beams. United States. https://doi.org/10.1364/OE.26.034007
Esashi, Y., Liao, C. -T., Wang, B., Brooks, N., Dorney, K. M., Hernández-García, C., Kapteyn, H., Adams, D., and Murnane, M. Fri .
"Ptychographic amplitude and phase reconstruction of bichromatic vortex beams". United States. https://doi.org/10.1364/OE.26.034007.
@article{osti_1486899,
title = {Ptychographic amplitude and phase reconstruction of bichromatic vortex beams},
author = {Esashi, Y. and Liao, C. -T. and Wang, B. and Brooks, N. and Dorney, K. M. and Hernández-García, C. and Kapteyn, H. and Adams, D. and Murnane, M.},
abstractNote = {We experimentally demonstrate that ptychographic coherent diffractive imaging can be used to simultaneously characterize the amplitude and phase of bichromatic orbital angular momenta-shaped vortex beams, which consist of a fundamental field, together with its copropagating second-harmonic field. In contrast to most other orbital angular momentum characterization methods, this approach solves for the complex field of a hyperspectral beam. Lastly, this technique can also be used to characterize other phase-structured illumination beams, and, in the future, will be able to be extended to other complex fields in the extreme ultraviolet or X-ray spectral regions, as well as to matter waves.},
doi = {10.1364/OE.26.034007},
journal = {Optics Express},
number = 26,
volume = 26,
place = {United States},
year = {2018},
month = {12}
}
https://doi.org/10.1364/OE.26.034007
Web of Science
Figures / Tables:

Works referenced in this record:
Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics
journal, December 2014
- Kfir, Ofer; Grychtol, Patrik; Turgut, Emrah
- Nature Photonics, Vol. 9, Issue 2
Information multiplexing in ptychography
journal, March 2014
- Batey, Darren J.; Claus, Daniel; Rodenburg, John M.
- Ultramicroscopy, Vol. 138
Influence of the overlap parameter on the convergence of the ptychographical iterative engine
journal, April 2008
- Bunk, Oliver; Dierolf, Martin; Kynde, Søren
- Ultramicroscopy, Vol. 108, Issue 5
Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes
journal, November 1997
- Courtial, J.; Dholakia, K.; Allen, L.
- Physical Review A, Vol. 56, Issue 5
Q-plate enabled spectrally diverse orbital-angular-momentum conversion for stimulated emission depletion microscopy
journal, January 2015
- Yan, L.; Gregg, P.; Karimi, E.
- Optica, Vol. 2, Issue 10
Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
journal, July 1999
- Miao, Jianwei; Charalambous, Pambos; Kirz, Janos
- Nature, Vol. 400, Issue 6742
Terahertz polarization pulse shaping with arbitrary field control
journal, August 2013
- Sato, Masaaki; Higuchi, Takuya; Kanda, Natsuki
- Nature Photonics, Vol. 7, Issue 9
Roadmap on structured light
journal, November 2016
- Rubinsztein-Dunlop, Halina; Forbes, Andrew; Berry, M. V.
- Journal of Optics, Vol. 19, Issue 1
Quantitative Chemically Specific Coherent Diffractive Imaging of Reactions at Buried Interfaces with Few Nanometer Precision
journal, August 2016
- Shanblatt, Elisabeth R.; Porter, Christina L.; Gardner, Dennis F.
- Nano Letters, Vol. 16, Issue 9
Direct Observation of Transfer of Angular Momentum to Absorptive Particles from a Laser Beam with a Phase Singularity
journal, July 1995
- He, H.; Friese, M. E. J.; Heckenberg, N. R.
- Physical Review Letters, Vol. 75, Issue 5
General-purpose, wide field-of-view reflection imaging with a tabletop 13 nm light source
journal, January 2017
- Porter, Christina L.; Tanksalvala, Michael; Gerrity, Michael
- Optica, Vol. 4, Issue 12
Non-collinear generation of angularly isolated circularly polarized high harmonics
journal, September 2015
- Hickstein, Daniel D.; Dollar, Franklin J.; Grychtol, Patrik
- Nature Photonics, Vol. 9, Issue 11
Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes
journal, June 1992
- Allen, L.; Beijersbergen, M. W.; Spreeuw, R. J. C.
- Physical Review A, Vol. 45, Issue 11
Optical helices and spiral interference fringes
journal, March 1994
- Harris, M.; Hill, C. A.; Vaughan, J. M.
- Optics Communications, Vol. 106, Issue 4-6
Creating High-Harmonic Beams with Controlled Orbital Angular Momentum
journal, October 2014
- Gariepy, Genevieve; Leach, Jonathan; Kim, Kyung Taec
- Physical Review Letters, Vol. 113, Issue 15
Mechanical Detection and Measurement of the Angular Momentum of Light
journal, July 1936
- Beth, Richard A.
- Physical Review, Vol. 50, Issue 2
Ptychographic hyperspectral spectromicroscopy with an extreme ultraviolet high harmonic comb
journal, January 2016
- Zhang, Bosheng; Gardner, Dennis F.; Seaberg, Matthew H.
- Optics Express, Vol. 24, Issue 16
Hartmann wavefront sensor characterization of a high charge vortex beam in the extreme ultraviolet spectral range
journal, January 2018
- Sanson, F.; Pandey, A. K.; Harms, F.
- Optics Letters, Vol. 43, Issue 12
Non-coaxial superposition of vector vortex beams
journal, January 2016
- Aadhi, A.; Vaity, Pravin; Chithrabhanu, P.
- Applied Optics, Vol. 55, Issue 5
The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate
journal, June 1996
- Turnbull, G. A.; Robertson, D. A.; Smith, G. M.
- Optics Communications, Vol. 127, Issue 4-6
Optical communications using orbital angular momentum beams
journal, January 2015
- Willner, A. E.; Huang, H.; Yan, Y.
- Advances in Optics and Photonics, Vol. 7, Issue 1
Quantitative measurement of the orbital angular momentum of light with a single, stationary lens
journal, January 2016
- Alperin, Samuel N.; Niederriter, Robert D.; Gopinath, Juliet T.
- Optics Letters, Vol. 41, Issue 21
Unveiling a Truncated Optical Lattice Associated with a Triangular Aperture Using Light’s Orbital Angular Momentum
journal, July 2010
- Hickmann, J. M.; Fonseca, E. J. S.; Soares, W. C.
- Physical Review Letters, Vol. 105, Issue 5
Second-harmonic generation and the orbital angular momentum of light
journal, November 1996
- Dholakia, K.; Simpson, N. B.; Padgett, M. J.
- Physical Review A, Vol. 54, Issue 5
A phase retrieval algorithm for shifting illumination
journal, November 2004
- Rodenburg, J. M.; Faulkner, H. M. L.
- Applied Physics Letters, Vol. 85, Issue 20
Reconstructing state mixtures from diffraction measurements
journal, February 2013
- Thibault, Pierre; Menzel, Andreas
- Nature, Vol. 494, Issue 7435
Optical Spin-to-Orbital Angular Momentum Conversion in Inhomogeneous Anisotropic Media
journal, April 2006
- Marrucci, L.; Manzo, C.; Paparo, D.
- Physical Review Letters, Vol. 96, Issue 16
An improved ptychographical phase retrieval algorithm for diffractive imaging
journal, September 2009
- Maiden, Andrew M.; Rodenburg, John M.
- Ultramicroscopy, Vol. 109, Issue 10
Precise characterization of focused vortex beams
journal, July 2017
- Saito, Takahiro; Takeo, Yoko; Mimura, Hidekazu
- Japanese Journal of Applied Physics, Vol. 56, Issue 9
Overcoming the Rayleigh Criterion Limit with Optical Vortices
journal, October 2006
- Tamburini, F.; Anzolin, G.; Umbriaco, G.
- Physical Review Letters, Vol. 97, Issue 16
Attosecond Extreme Ultraviolet Vortices from High-Order Harmonic Generation
journal, August 2013
- Hernández-García, Carlos; Picón, Antonio; San Román, Julio
- Physical Review Letters, Vol. 111, Issue 8
Single shot multi-wavelength phase retrieval with coherent modulation imaging
journal, January 2018
- Dong, Xue; Pan, Xingchen; Liu, Cheng
- Optics Letters, Vol. 43, Issue 8
Nonperturbative Twist in the Generation of Extreme-Ultraviolet Vortex Beams
journal, October 2016
- Rego, Laura; Román, Julio San; Picón, Antonio
- Physical Review Letters, Vol. 117, Issue 16
Spin–orbit interactions of light
journal, November 2015
- Bliokh, K. Y.; Rodríguez-Fortuño, F. J.; Nori, F.
- Nature Photonics, Vol. 9, Issue 12
Generation and evolution of the terahertz vortex beam
journal, January 2013
- He, Jingwen; Wang, Xinke; Hu, Dan
- Optics Express, Vol. 21, Issue 17
High contrast 3D imaging of surfaces near the wavelength limit using tabletop EUV ptychography
journal, November 2015
- Zhang, Bosheng; Gardner, Dennis F.; Seaberg, Matthew D.
- Ultramicroscopy, Vol. 158
Spectrally resolved single-shot wavefront sensing of broadband high-harmonic sources
journal, January 2018
- Freisem, L.; Jansen, G. S. M.; Rudolf, D.
- Optics Express, Vol. 26, Issue 6
Topological charge and angular momentum of light beams carrying optical vortices
journal, November 1997
- Soskin, M. S.; Gorshkov, V. N.; Vasnetsov, M. V.
- Physical Review A, Vol. 56, Issue 5
Gaussian laser beam transformation into an optical vortex beam by helical lens
journal, July 2015
- Janicijevic, Ljiljana; Topuzoski, Suzana
- Journal of Modern Optics, Vol. 63, Issue 2
Bright circularly polarized soft X-ray high harmonics for X-ray magnetic circular dichroism
journal, November 2015
- Fan, Tingting; Grychtol, Patrik; Knut, Ronny
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 46
Helical-wavefront laser beams produced with a spiral phaseplate
journal, December 1994
- Beijersbergen, M. W.; Coerwinkel, R. P. C.; Kristensen, M.
- Optics Communications, Vol. 112, Issue 5-6
Observation of an x-ray vortex
journal, January 2002
- Peele, Andrew G.; McMahon, Philip J.; Paterson, David
- Optics Letters, Vol. 27, Issue 20
Subwavelength coherent imaging of periodic samples using a 13.5 nm tabletop high-harmonic light source
journal, March 2017
- Gardner, Dennis F.; Tanksalvala, Michael; Shanblatt, Elisabeth R.
- Nature Photonics, Vol. 11, Issue 4
Controlling neutron orbital angular momentum
journal, September 2015
- Clark, Charles W.; Barankov, Roman; Huber, Michael G.
- Nature, Vol. 525, Issue 7570
Orbital angular momentum of superposition of identical shifted vortex beams
journal, January 2015
- Kovalev, A. A.; Kotlyar, V. V.
- Journal of the Optical Society of America A, Vol. 32, Issue 10
Orbital angular momentum: origins, behavior and applications
journal, January 2011
- Yao, Alison M.; Padgett, Miles J.
- Advances in Optics and Photonics, Vol. 3, Issue 2
Phase-Matched Generation of Coherent Soft X-rays
journal, May 1998
- Rundquist, A.
- Science, Vol. 280, Issue 5368
Some implications of a theorem due to Shannon
journal, November 1952
- Sayre, D.
- Acta Crystallographica, Vol. 5, Issue 6
Entanglement of the orbital angular momentum states of photons
journal, July 2001
- Mair, Alois; Vaziri, Alipasha; Weihs, Gregor
- Nature, Vol. 412, Issue 6844
Electron Vortex Beams with High Quanta of Orbital Angular Momentum
journal, January 2011
- McMorran, B. J.; Agrawal, A.; Anderson, I. M.
- Science, Vol. 331, Issue 6014, p. 192-195
Spatiotemporal characterization of ultrashort optical vortex pulses
journal, November 2016
- Miranda, Miguel; Kotur, Marija; Rudawski, Piotr
- Journal of Modern Optics, Vol. 64, Issue sup4
Ten implementations of ptychography: TEN IMPLEMENTATIONS OF PTYCHOGRAPHY
journal, July 2017
- Li, Peng; Maiden, Andrew M.
- Journal of Microscopy, Vol. 269, Issue 3
First Observation of Photons Carrying Orbital Angular Momentum in Undulator Radiation
journal, July 2013
- Bahrdt, J.; Holldack, K.; Kuske, P.
- Physical Review Letters, Vol. 111, Issue 3
Figures / Tables found in this record: