title: Effect of frequency detunings and finite relaxation rates on laser localized structures
abstract: We study, analytically and numerically, the effect of frequency detunings and relaxation processes in laser media on stability and bifurcations of dissipative optical localized structures (DOLS's) in a transversely one-dimensional laser with a saturable absorber. The approximate envelope equation, with an intensity dependent effective coefficient of the diffusion, is derived. Andronov-Hopf bifurcations resulting from frequency detuning and leading to oscillatory DOLS's are analyzed numerically. A numerical and analytical study of bifurcations of transversely motionless DOLS's in a laser with finite relaxation rates of amplifying and absorbing media is performed. New types of DOLS's are found, including those moving with a large transverse velocity and those moving with a periodically oscillating transverse velocity. Hysteresis between different types of DOLS's is demonstrated.
authors.affiliation: Institute for Laser Physics, Vavilov State Optical Institute, St. Petersburg, Russia. sfedorov@sf3997.spb.edu
authors.initials: SV
authors.lastname: Fedorov
authors.initials: AG
authors.lastname: Vladimirov
authors.initials: GV
authors.lastname: Khodova
authors.initials: NN
authors.lastname: Rosanov