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Detection dead zones and heading errors induced by light shifts are twoimportant problems in optically pumped scalar magnetometry. We introduce anatomic orientation based single-beam magnetometry scheme to simultaneouslysolve these problems, using a polarization-reversing and path-bending Herriottcavity. Here, a reflection mirror is inserted into the cavity to bend theoptical paths in the middle, and divide them into two separated orthogonalregions to avoid the detection dead zone. Moreover, half-wave plates are addedin the center of each optical region, so that the light polarization is flippedeach time it passes the wave plates and the light shift effects are spatiallyaveraged out. This operation is demonstrated to eliminate the unnoticed headingerrors induced by ac light shifts. The methods developed in this paper arerobust to use, and easy to be applied in other atomic devices.

Light-shift-free and dead-zone-free atomic orientation based scalar magnetometry using a single amplitude-modulated beam