Stability of pulses in the master mode-locking equation

被引：59
作者：
Kapitula, T [1 ]
Kutz, JN
Sandstede, B
机构：
[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA
[2] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA
[3] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
来源：
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS | 2002年 / 19卷 / 04期
关键词：
D O I：
10.1364/JOSAB.19.000740
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The master mode-locking equation is a canonical model for mode locking in solid-state lasers. We consider the dynamics and stability of the localized pulse solutions that this equation admits of. We provide analytic proof of stable mode-locking behavior along with analysis that shows that mode locking can become destabilized as a result of either a radiation-mode or a saddle-node instability. This is to our knowledge the first analytic proof of the stability of the pulse solutions that takes the time-dependent gain saturation mechanism of mode-locked lasers into account. (C) 2002 Optical Society of America.
引用
收藏
页码：740 / 746
页数：7
相关论文
共 23 条
[1]   SOLITON FIBER RING LASER [J].
CHEN, CJ ;
WAI, PKA ;
MENYUK, CR .
OPTICS LETTERS, 1992, 17 (06) :417-419
[2]   Sub-10-fs operation of Kerr-lens mode-locked lasers [J].
Christov, IP ;
Stoev, VD ;
Murnane, MM ;
Kapteyn, HC .
OPTICS LETTERS, 1996, 21 (18) :1493-1495
[3]   4TH-ORDER DISPERSION-LIMITED SOLITARY PULSES [J].
CHRISTOV, IP ;
MURNANE, MM ;
KAPTEYN, HC ;
ZHOU, JP ;
HUANG, CP .
OPTICS LETTERS, 1994, 19 (18) :1465-1467
[4]   SPACE-TIME FOCUSING OF FEMTOSECOND PULSES IN A TI-SAPPHIRE LASER [J].
CHRISTOV, IP ;
KAPTEYN, HC ;
MURNANE, MM ;
HUANG, CP ;
ZHOU, JP .
OPTICS LETTERS, 1995, 20 (03) :309-311
[5]   HIGH REPETITION RATE FIGURE 8 LASER WITH EXTRACAVITY FEEDBACK [J].
DENNIS, ML ;
DULING, IN .
ELECTRONICS LETTERS, 1992, 28 (20) :1894-1896
[6]   SUBPICOSECOND ALL-FIBER ERBIUM LASER [J].
DULING, IN .
ELECTRONICS LETTERS, 1991, 27 (06) :544-545
[7]  
Fermann M. E., 1993, OPT LETT, V29, P447
[8]   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
[9]   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
[10]   ADDITIVE-PULSE MODELOCKING IN FIBER LASERS [J].
HAUS, HA ;
IPPEN, EP ;
TAMURA, K .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1994, 30 (01) :200-208
123