Transient evolution and established states of color domains in fiber lasers with a doublet radiation spectrum.

Abstract

The transient evolution and established states of color domains in fiber lasers with a doublet radiation spectrum are investigated by constructing a Lyapunov functional. In the transient process, the constructed functional decreases monotonically and reaches its minimum, regardless of the initial conditions. This evolution of the constructed functional allows one to determine the direction of the transient process for the generated radiation and its steady-state structure that minimizes this functional. The analysis using variational principles is based on an approximation neglecting the chromatic dispersion and refractive-index nonlinearity of the intracavity medium. The obtained results are useful for understanding the features of the transient evolution of the laser generation and for the development of methods for controlling the generation regimes of fiber lasers.