Abstract
An iterative method is developed to characterize the mode-locking dynamics in a laser cavity mode-locked with a combination of waveplates and a passive polarizer. The method explicitly accounts for an arbitrary alignment of the fast- and slow-axes of the fiber with the waveplates and polarizer, fiber birefringence and saturating gain dynamics. The general averaging scheme results in the cubic-quintic complex Ginzburg-Landau equation (CQGLE), and an extensive comparison shows the agreement between the full model and the CQGLE and allows for a characterization of the stability and operating regimes of the laser cavity.
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