title: Fourier magnetic imaging with nanoscale resolution and compressed sensing speed-up using electronic spins in diamond.
abstract: Optically detected magnetic resonance using nitrogen-vacancy (NV) colour centres in diamond is a leading modality for nanoscale magnetic field imaging, as it provides single electron spin sensitivity, three-dimensional resolution better than 1 nm (ref. 5) and applicability to a wide range of physical and biological samples under ambient conditions. To date, however, NV-diamond magnetic imaging has been performed using 'real-space' techniques, which are either limited by optical diffraction to ∼250 nm resolution or require slow, point-by-point scanning for nanoscale resolution, for example, using an atomic force microscope, magnetic tip, or super-resolution optical imaging. Here, we introduce an alternative technique of Fourier magnetic imaging using NV-diamond. In analogy with conventional magnetic resonance imaging (MRI), we employ pulsed magnetic field gradients to phase-encode spatial information on NV electronic spins in wavenumber or 'k-space' followed by a fast Fourier transform to yield real-space images with nanoscale resolution, wide field of view and compressed sensing speed-up.
authors.affiliation: Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: K
authors.initials: K
authors.lastname: Arai
authors.affiliation: Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA.|Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: C
authors.initials: C
authors.lastname: Belthangady
authors.affiliation: Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA.|Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: H
authors.initials: H
authors.lastname: Zhang
authors.affiliation: Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA.|Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: N
authors.initials: N
authors.lastname: Bar-Gill
authors.affiliation: Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: S J
authors.identifier: http://orcid.org/0000-0003-3142-7296
authors.initials: SJ
authors.lastname: DeVience
authors.affiliation: Nuclear Science and Engineering Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: P
authors.initials: P
authors.lastname: Cappellaro
authors.affiliation: Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: A
authors.initials: A
authors.lastname: Yacoby
authors.affiliation: Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA.|Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.|Center for Brain Science, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: R L
authors.initials: RL
authors.lastname: Walsworth