He–Ne ring-laser gyroscopes are, at present, the most precise devices for absolute angular velocity measurements. Limitations to their performance come from the nonlinear dynamics of the laser. Following Lamb semiclassical 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, allows 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.
© 2012 Optical Society of America
Lasers and Laser Optics
Original Manuscript: August 7, 2012
Revised Manuscript: September 20, 2012
Manuscript Accepted: September 24, 2012
Published: October 23, 2012
Alessandro Beghi, Jacopo Belfi, Nicolò Beverini, B. Bouhadef, D. Cuccato, Angela Di Virgilio, and Antonello Ortolan, "Compensation of the laser parameter fluctuations in large ring-laser gyros: a Kalman filter approach," Appl. Opt. 51, 7518-7528 (2012)