Compensation of the laser parameters fluctuations in large ring laser gyros: a Kalman filter approach

Abstract

He-Ne ring laser gyroscopes are, at present, the most precise devices for absolute angular velocity measurements. Limitations to their performance come from the non--linear dynamics of the laser. Following the Lamb semi-classical theory, we find a set of critical parameters affecting the time stability of the system. We propose a method for estimating the long term drift of the laser parameters and for filtering out the laser dynamics effects from the rotation measurement. The parameter estimation procedure, based on the perturbative solutions of the laser dynamics, allow us to apply Kalman Filter theory for the estimation of the angular velocity. Results of a comprehensive Monte Carlo simulation and results of a preliminary analysis on experimental data from the ring laser prototype G-Pisa are shown and discussed.

22 pages, 11 figures

References in corpus (3)

• Measuring Gravito-magnetic Effects by Multi Ring-Laser Gyroscope
• Direct measurement of diurnal polar motion by ring laser gyroscopes
• A 1.82 m^2 ring laser gyroscope for nano-rotational motion sensing

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• Identification and correction of Sagnac frequency variations: an implementation for the GINGERINO data analysis
• Overcoming 1 part in $10^9$ of Earth angular rotation rate measurement with the G Wettzell data
• Measuring general relativity effects in a terrestrial lab by means of laser gyroscopes
• GINGER
• Stabilizing the free spectral range of a large ring laser