Deterministic solution to the inhomogeneously broadened bidirectional ring laser equations with backscattering, asymmetry, and cavity rotation
Abstract
The third order equations of motion for a rotating, bidirectional, inhomogeneously broadened ring laser at line center with backscattering and asymmetry are solved exactly when the additive noise terms are negligible. The resulting solution for the relative phase of the two counterpropagating modes may exhibit steady state or transient oscillations. For certain initial conditions and operating parameters the phase solution is unstable. This gives rise to deterministic phase jumps in both the transient and steady state behavior. A series of phase jumps occurs if the system repeatedly crosses its unstable boundary. The jumps are multiples of π radians in magnitude, except for the case in which the phase discontinuity is caused by slowly varying operating parameters. Conditions are derived under which the frequency difference between the two modes (i) exhibits the wellknown frequency lockin effect at low rotation rates, or (ii) remains sensitive to cavity rotation regardless of rotation rate (lockin suppression). Difficulties in achieving the latter result in a practical device are discussed.
 Publication:

Optics Communications
 Pub Date:
 May 1990
 DOI:
 10.1016/00304018(90)90273V
 Bibcode:
 1990OptCo..76..395C
 Keywords:

 Backscattering;
 Laser Cavities;
 Optical Gyroscopes;
 Ring Lasers;
 Equations Of Motion;
 FokkerPlanck Equation;
 Langevin Formula;
 Rotating Bodies;
 Transformations (Mathematics);
 Lasers and Masers