TY - JOUR AU - Tobias Thiele AU - Y. Lin AU - M. Brown AU - Cindy Regal AB - Atomic magnetometry is one of the most sensitive ways to measure magnetic fields. We present a method for converting a naturally scalar atomic magnetometer into a vector magnetometer by exploiting the polarization dependence of hyperfine transitions in rubidium atoms. First, we fully determine the polarization ellipse of an applied microwave field using a self-calibrating method, i.e., a method in which the light-atom interaction provides everything required to know the field in an orthogonal laboratory frame. We then measure the direction of an applied static field using the polarization ellipse as a three-dimensional reference defined by Maxwell\textquoterights equations. Although demonstrated with trapped atoms, this technique could be applied to atomic vapors, or a variety of atomlike systems. BT - Physical Review Letters DA - 2018-10 DO - 10.1103/PhysRevLett.121.153202 N2 - Atomic magnetometry is one of the most sensitive ways to measure magnetic fields. We present a method for converting a naturally scalar atomic magnetometer into a vector magnetometer by exploiting the polarization dependence of hyperfine transitions in rubidium atoms. First, we fully determine the polarization ellipse of an applied microwave field using a self-calibrating method, i.e., a method in which the light-atom interaction provides everything required to know the field in an orthogonal laboratory frame. We then measure the direction of an applied static field using the polarization ellipse as a three-dimensional reference defined by Maxwell\textquoterights equations. Although demonstrated with trapped atoms, this technique could be applied to atomic vapors, or a variety of atomlike systems. PY - 2018 EP - 153202 T2 - Physical Review Letters TI - Self-Calibrating Vector Atomic Magnetometry through Microwave Polarization Reconstruction UR - https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.121.153202 VL - 121 SN - 0031-9007 ER -