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Optically-detected magnetic resonance using Nitrogen Vacancy (NV) colorcentres in diamond is a leading modality for nanoscale magnetic field imaging,as it provides single electron spin sensitivity, three-dimensional resolutionbetter than 1 nm, and applicability to a wide range of physical and biologicalsamples under ambient conditions. To date, however, NV-diamond magnetic imaginghas been performed using real space techniques, which are either limited byoptical diffraction to 250 nm resolution or require slow, point-by-pointscanning for nanoscale resolution, e.g., using an atomic force microscope,magnetic tip, or super-resolution optical imaging. Here we introduce analternative technique of Fourier magnetic imaging using NV-diamond. In analogywith conventional magnetic resonance imaging (MRI), we employ pulsed magneticfield gradients to phase-encode spatial information on NV electronic spins inwavenumber or k-space followed by a fast Fourier transform to yield real-spaceimages with nanoscale resolution, wide field-of-view (FOV), and compressedsensing speed-up.

Fourier Magnetic Imaging with Nanoscale Resolution and Compressed Sensing Speed-up using Electronic Spins in Diamond