Journal
OPTICS AND SPECTROSCOPY
Volume 111, Issue 2, Pages 166-177Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0030400X11080121
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Funding
- National Science Foundation (NSF) [DMS-0604700]
- US Air Force Office of Scientific Research (AFOSR) [FA9550-09-0174]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1007621] Funding Source: National Science Foundation
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We derive a theoretical model to characterize the mode-locking dynamics in a single-mode fiber laser cavity with a combination of waveplates and a passive polarizer. The averaging process results in the cubic-quintic Ginzburg-Landau equation (CQGLE) where all the coefficients depend explicitly on the setting of the waveplates as well as the fiber birefringence. A comparison between full numerical simulations and the CQGLE shows a good agreement that allows for characterizing the stability and operating regimes of the laser cavity. A low-dimensional model is developed via the method of proper orthogonal decomposition (POD) to study the multi-pulsing transition of the CQGLE, and the results agree qulitatively with the CQGLE model. The theory allows one to develop guidelines for engineering and optimizing high-energy, high peak-power pulses in the laser cavity.
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