Abstract

We present a method to determine the direction of a magnetic field in an experimental volume by analyzing the polarization of resonant optical radiation and data that demonstrate this method with a single trapped ${ }^{40}{\mathrm{Ca}}^{+}$ ion. With a single trapped ${ }^{40}{\mathrm{Ca}}^{+}$ ion, the results are insensitive to the magnitude of the magnetic field, the laser intensity, the detuning, and the bandwidth, provided the fluorescence signal is detectable. This method is applicable to many atomic systems in which optical pumping is possible.

© 2005 Optical Society of America

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