High-precision control of static magnetic field magnitude, orientation, and gradient using optically pumped vapour cell magnetometry

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An integrated system of hardware and software allowing precise definition of arbitrarily oriented magnetic fields up to |B| = 1 μT within a five-layer Mumetal shield is described. The system is calibrated with reference to magnetic resonance observed between Zeeman states of the 6S1/2 F = 4 133Cs ground state. Magnetic field definition over the full 4π solid angle is demonstrated with one-sigma tolerances in magnitude, orientation, and gradient of δ|B| = 0.94 nT, δθ = 5.9 mrad, and δ|∇B|=13.0δ|∇B|=13.0 pT/mm, respectively. This field control is used to empirically map Mx magnetometer signal amplitude as a function of the static field (B0) orientation.
Original languageEnglish
Article number043109
Number of pages6
JournalReview of Scientific Instruments
Issue number4
Early online date24 Apr 2017
Publication statusE-pub ahead of print - 24 Apr 2017


  • calibration
  • magnetic resonance
  • magnetic field measurements
  • coils
  • optical pumping

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