Generalized Master Equation for High-Energy Passive Mode-Locking: The Sinusoidal Ginzburg-Landau Equation

被引:31
作者
Ding, Edwin [1 ]
Shlizerman, Eli [1 ]
Kutz, J. Nathan [1 ]
机构
[1] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA
基金
美国国家科学基金会;
关键词
Ginzburg-Landau equation; master mode-locking equation; mode-locked lasers; saturable absorption; solitons; TI-SAPPHIRE LASER; FEMTOSECOND FIBER LASER; NORMAL-DISPERSION; ADDITIVE-PULSE; LOCKED LASERS; PROPAGATION; GENERATION; STABILITY; OPERATION;
D O I
10.1109/JQE.2011.2112337
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A generalized master mode-locking model is presented to characterize the pulse evolution in a ring cavity laser passively mode-locked by a series of waveplates and a polarizer, and the equation is referred to as the sinusoidal Ginzburg-Landau equation (SGLE). The SGLE gives a better description of the cavity dynamics by accounting explicitly for the full periodic transmission generated by the waveplates and polarizer. Numerical comparisons with the full dynamics show that the SGLE is able to capture the essential mode-locking behaviors including the multi-pulsing instability observed in the laser cavity and does not have the drawbacks of the conventional master mode-locking theory, and the results are applicable to both anomalous and normal dispersions. The SGLE model supports high energy pulses that are not predicted by the master mode-locking theory, thus providing a platform for optimizing the laser performance.
引用
收藏
页码:705 / 714
页数:10
相关论文
共 44 条
[11]  
Davey R. P., 1991, Electronics Letters, V27, P1257, DOI 10.1049/el:19910788
[12]   Modeling multipulsing transition in ring cavity lasers with proper orthogonal decomposition [J].
Ding, Edwin ;
Shlizerman, Eli ;
Kutz, J. Nathan .
PHYSICAL REVIEW A, 2010, 82 (02)
[13]   Operating regimes, split-step modeling, and the Haus master mode-locking model [J].
Ding, Edwin ;
Kutz, J. Nathan .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2009, 26 (12) :2290-2300
[14]   Cladding-pumped passive harmonically mode-locked fiber laser [J].
Fermann, ME ;
Minelly, JD .
OPTICS LETTERS, 1996, 21 (13) :970-972
[15]   ENERGY QUANTIZATION IN FIGURE 8 FIBER LASER [J].
GRUDININ, AB ;
RICHARDSON, DJ ;
PAYNE, DN .
ELECTRONICS LETTERS, 1992, 28 (01) :67-68
[16]   FEMTOSECOND SOLITON GENERATION IN A PRASEODYMIUM FLUORIDE FIBER LASER [J].
GUY, MJ ;
NOSKE, DU ;
BOSKOVIC, A ;
TAYLOR, JR .
OPTICS LETTERS, 1994, 19 (11) :828-830
[17]   STRUCTURES FOR ADDITIVE PULSE MODE-LOCKING [J].
HAUS, HA ;
FUJIMOTO, JG ;
IPPEN, EP .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1991, 8 (10) :2068-2076
[18]   ANALYTIC THEORY OF ADDITIVE PULSE AND KERR LENS MODE-LOCKING [J].
HAUS, HA ;
FUJIMOTO, JG ;
IPPEN, EP .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1992, 28 (10) :2086-2096
[19]   ADDITIVE-PULSE MODELOCKING IN FIBER LASERS [J].
HAUS, HA ;
IPPEN, EP ;
TAMURA, K .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1994, 30 (01) :200-208
[20]   Mode-locking of lasers [J].
Haus, HA .
IEEE JOURNAL OF SELECTED TOPICS IN QUANTUM ELECTRONICS, 2000, 6 (06) :1173-1185