Noise in a ringlaser gyroscope
Abstract
The role of noise in ringlaser gyroscopes is discussed. The basic elements of ringlaser theory are reviewed, and the Langevin and FokkerPlanck (FP) equations for the phase difference between the two counterpropagating waves in the ringlaser gyroscope are introduced. The steady state distribution is expressed in terms of scalar continued fractions, and the lockin characteristics of the gyro in the presence of white noise is given in terms of scalar continued fractions. A reduction of the dead band due to the noise is shown to occur. The Langevin and FP equations for colored noise (noise with nonzero correlation time) are derived, and the twodimensional FP equation is expanded in an appropriate complete set of functions and cast into a threeterm vector recurrence relation. This equation is solved in steady state by matrix continued fractions, and the influence of noise color on steady state distributions is discussed. The mean beat frequency characteristic in the presence of colored noise is discussed.
 Publication:

IN: Noise in nonlinear dynamical systems. Volume 2 (A9030467 1270). Cambridge and New York
 Pub Date:
 1989
 Bibcode:
 1989nnds....2..271V
 Keywords:

 Laser Gyroscopes;
 Noise Spectra;
 Ring Lasers;
 White Noise;
 Beat Frequencies;
 FokkerPlanck Equation;
 Langevin Formula;
 Laser Interferometry;
 Wave Propagation;
 Lasers and Masers