We propose to use an optical cavity to enhance the sensitivity of
magnetometers relying on the detection of the spin state of high-density
nitrogen-vacancy ensembles in diamond using infrared optical absorption. The
role of the cavity is to obtain a contrast in the absorption-detected magnetic
resonance approaching unity at room temperature. We project an increase in the
photon shot-noise limited sensitivity of two orders of magnitude in comparison
with a single-pass approach. Optical losses can limit the enhancement to one
order of magnitude which could still enable room temperature operation.
Finally, the optical cavity also allows to use smaller pumping power when it is
designed to be resonant at both the pump and the signal wavelength