Title :
Theoretical study on the actively mode-locked fiber laser with the q-parameter and the ABCD law
Author :
Li, Yuhua ; Lou, Caiyun ; Chang, Guoqing ; Gao, Yizhi
Author_Institution :
Dept. of Electron. Eng., Tsinghua Univ., Beijing, China
Abstract :
The q-parameter and the ABCD law are useful tools for analyzing the propagation or oscillation behavior of the spatial Gaussian laser beam. In this letter, we apply these tools to the theory of the actively mode-locked Er/sup 3+/-doped fiber laser (AML-EDFL). Based on the q-parameter definition, we derive the ABCD matrices for the four primary elements which influence the pulse forming in the AML-EDFL, including the amplitude modulator, the optical filter, the fiber with dispersion, and the fiber with nonlinearity. With the aid of the split-step q-parameter processing algorithm, the laser characteristics versus some typical laser parameters are investigated in detail.
Keywords :
Gaussian processes; amplitude modulation; distributed algorithms; erbium; fibre lasers; laser beams; laser mode locking; laser theory; optical fibre dispersion; optical filters; optical modulation; transmission line matrix methods; ABCD law; Er/sup 3+/-doped fiber laser; actively mode-locked fiber laser; amplitude modulator; dispersion; laser characteristics; laser parameters; optical filter; oscillation behavior; primary elements; propagation; pulse forming; q-parameter; spatial Gaussian laser beam; split-step q-parameter processing algorithm; Amplitude modulation; Erbium; Fiber lasers; Laser beams; Laser mode locking; Laser theory; Optical fiber theory; Optical propagation; Optical pulses; Pulse modulation;
Journal_Title :
Photonics Technology Letters, IEEE