Synchronous measurement of inertial rotation and magnetic field using a K−Rb−Ne21 comagnetometer

Abstract

We propose a method for synchronous measurement of inertial rotation and magnetic field based on the nuclear spin magnetization of the $^{21}\mathrm{Ne}$ self-compensation magnetic field and enhancement of the rotation signal in a $\mathrm{K}\text{\ensuremath{-}}\mathrm{Rb}{\text{\ensuremath{-}}}^{21}\mathrm{Ne}$ comagnetometer. Under different working temperature conditions, we study the operation of the system as a self-compensation comagnetometer. Using the formulated Bloch equations, the magnetic field and inertial rotation are simultaneously measured by the transient and steady responses in a single probe beam configuration. The measurement of earth rotation projection on the horizontal plane from $\ensuremath{-}5.59\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ to $5.59\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}\phantom{\rule{0.28em}{0ex}}\mathrm{rad}/\mathrm{s}$ based on the steady signal and measurement of the magnetic field ranging from 0.016 to 1.760 nT based on the transient signal have been presented. Furthermore, the simultaneous measurements of angular velocity varying from $\ensuremath{-}4.01\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ to $5.37\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}\phantom{\rule{0.28em}{0ex}}\mathrm{rad}/\mathrm{s}$ with an accuracy of $2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}\phantom{\rule{0.28em}{0ex}}\mathrm{rad}/\mathrm{s}$ and a magnetic field changing from 0.048 to 0.128 nT with an accuracy of 0.01 nT have also been demonstrated.