# In-situ measurement of light polarization with ellipticity-induced nonlinear magneto-optical rotation

## TL;DR

This paper introduces a precise in-situ method for measuring and controlling light ellipticity in atomic vapors using nonlinear magneto-optical rotation, significantly improving accuracy over existing techniques.

## Contribution

The paper presents a novel in-situ measurement technique for light ellipticity based on ellipticity-induced resonances in nonlinear magneto-optical rotation, enhancing precision and systematic error control.

## Key findings

- Achieves measurement accuracy exceeding existing methods by orders of magnitude.
- Provides a systematic approach to minimize vector light shifts.
- Demonstrates in-situ measurement avoids systematic errors from optical interfaces.

## Abstract

A precise, accurate, and relatively straightforward in-situ method to measure and control the ellipticity of light resonantly interacting with an atomic vapor is described. The technique can be used to minimize vector light shifts. The method involves measurement of ellipticity-induced resonances in the magnetic-field dependence of nonlinear magneto-optical rotation of frequency-modulated light. The light propagation direction is orthogonal to the applied magnetic field $\textbf{B}$ and the major axis of the light polarization ellipse is along $\textbf{B}$. When the light modulation frequency matches the Larmor frequency, elliptically polarized light produces precessing atomic spin orientation transverse to $\textbf{B}$ via synchronous optical pumping. The precessing spin orientation causes optical rotation oscillating at the Larmor frequency by modulating the atomic vapor's circular birefringence. Based on this technique's precision, in-situ nature (which avoids systematic errors arising from optical interfaces), and independent control of the most important systematic errors, it is shown that the accuracy of light ellipticity measurements achievable with this technique can exceed that of existing methods by orders of magnitude.