@article{4202, author = {Tobias Thiele and Y. Lin and M. Brown and Cindy Regal}, title = {Self-Calibrating Vector Atomic Magnetometry through Microwave Polarization Reconstruction}, abstract = {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.}, year = {2018}, journal = {Physical Review Letters}, volume = {121}, pages = {153202}, month = {2018-10}, issn = {0031-9007}, url = {https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.121.153202}, doi = {10.1103/PhysRevLett.121.153202}, }