Stability calculations for the ytterbium-doped fibre laser passively mode-locked through nonlinear polarization rotation

Abstract

We investigate theoretically a fiber laser passively mode-locked with nonlinear polarization rotation. A unidirectional ring cavity is considered with a polarizer placed between two sets of a halfwave plate and a quarterwave plate. A master equation is derived and the stability of the continuous and mode-locked solutions is studied. In particular, the effect of the orientation of the four phase plates and of the polarizer on the mode-locking regime is investigated.

All-normal-dispersion Yb-doped mode-locked fibre laser and its stability analysis

“…Future work will be carried out to verify the theoretical model by experimental results further as done in Refs. [21] and [22].…”

“…5 in Ref. [21], in which a unidirectional ring cavity containing a polarizer is placed between two sets of a half wave and a quarter wave plates. When (a 2 , a 3, θ) = (0 • , 45 • , 0 • ), the polarization that enters the fibre is circular as in our setup.…”

Incorporating MoS2 saturable absorption with nonlinear polarization rotation for stabilized mode-locking fibre lasers

“…The numerical simulation is originated from this configuration. A complex cubic Ginzburg-Landau equation was utilized to numerically simulate the dynamic of hybrid mode-locking [42,43]. In the simulation, θ represents an artificial polarizer inside the PC.…”

“…When considering that twisting the PC in a polarizer-free EDFL system can also induce a weak polarization dependent loss, the evolution of EDFL pulsewidth obtained under NPRbased passive mode-locking can be described by employing a cubic complex Ginzburg-Landau (CGL) type master equation, as given in equation (1) [42,43].…”

Models for Passively Mode-Locked Fiber Lasers

“…This allows to easily investigate the stability of the mode-locked solution as a function of the orientation of the intracavity phase plates. The same theoretical approach has been used for different laser configurations: the ytterbium-doped fiber laser operating in the normal dispersion regime [34], the erbium-doped fiber laser operating in the anomalous dispersion regime [35], the stretched-pulse erbium-doped fiber laser [36], the ytterbium-doped fiber laser in a configuration involving two sets of a halfwave and quarterwave plates [52]. Although the agreement with experimental data is very good for some laser configurations and for different operating regimes, some differences still exist with experiment and the model does not give any account of several experimental features such as hysteresis versus the pump power or versus the orientation of the phase plates.…”