Polarization-locked temporal vector solitons in a fiber laser: theory

Abstract

Stable polarization-locked temporal vector solitons are found in a saturable absorber mode-locked fiber laser with weak cavity birefringence. The system is theoretically modeled with two coupled complex GinzburgLandau equations that include fiber birefringence, spectral filtering, saturable gain, and slow saturable absorption. The solutions to this system are similar to those for elliptically polarized vector solitons in a lossless birefringent fiber. Numerical simulations show qualitative agreement with experimental results.

Polarization-locked temporal vector solitons in a fiber laser: experiment

“…These results are in qualitative agreement with numerical solutions for the PLVS. 20 The dependence of the spectral widths of the two components of the PLVS on birefringence and pulse-energy-dependent behavior is also shown to be in qualitative agreement with the numerical PLVS solutions.…”

“…21 A companion paper investigates this difference through numerical simulation of the entire laser system described here, including the significant nonconservative effects and a direct comparison with an analogous conservative system. 20 These results indicate that the solutions to this nonconservative laser system have much in common with the PLVS pulse solutions of a conservative, lossless birefringent fiber. [14][15][16][17][18]20 Both conservative and nonconservative results are compared with the experimental measurements and are described within the companion paper.…”

“…20 These results indicate that the solutions to this nonconservative laser system have much in common with the PLVS pulse solutions of a conservative, lossless birefringent fiber. [14][15][16][17][18]20 Both conservative and nonconservative results are compared with the experimental measurements and are described within the companion paper. 20 The PLVS solutions have been found to be weakly unstable.…”

“…[14][15][16][17][18]20 Both conservative and nonconservative results are compared with the experimental measurements and are described within the companion paper. 20 The PLVS solutions have been found to be weakly unstable. [15][16][17] Therefore, for the indefinite propagation of the PLVS pulse within the laser cavity, this fragile balance between the linear and the nonlinear birefringence requires a stabilizing mechanism able to suppress perturbative effects.…”

Dynamics of the transition from polarization disorder to antiphase polarization domains in vector fiber lasers

“…As is well known, the scalar and vector GLEs describe pattern formation phenomena in a variety of nonequilibrium systems near a Hopf bifurcation, such as phase transitions [13,14], * stefan.wabnitz@unibs.it superconductivity, superfluidity, Bose-Einstein condensation, field theory, Bénard convection [15], Taylor-Couette flow between rotating cylinders [16], plane Poiseuille flow [17], drift waves in plasmas, chemical reactions and turbulence [18], ionization waves [19], liquid crystals [20], biophysical systems [21] and laser devices [22][23][24].…”