Progress Towards the Detection of Faraday Rotation on Spin Polarized $^{\mathrm{\mathbf{3}}}$\textbf{He}*

Off-resonance Faraday rotation can offer a method to measure the nuclear spin optical rotation of the $^{\mathrm{3}}$He nucleus and gain access to new information about the atomic polarizability of the Helium atom. The interaction of the polarization state of light with the nuclear spin of the helium atom is very weak and has never been detected. A sensitive triple modulation technique has been developed which can detect the expected rotation angle on the order of 100 nrad. Once a Faraday rotation signal is observed, the next step is to separate the magnetic and electric contributions to the rotation by utilizing their different frequency dependencies. Recent studies involved optimizing several parameters which impact $^{\mathrm{3}}$He target polarization. Progress towards detecting nuclear spin optical rotation on $^{\mathrm{3}}$He will be reported.