Abstract

A theoretical model is developed for characterizing mode-locking behavior using the variational method. The variational method is applied to three laser-cavity models, and a reduced master mode-locking model is obtained. Characterizing the mode-locking dynamics is the existence of a stable node, stable spiral, or limit cycle in the reduced equations highlighting the regions of a stable mode-locked operation. Fundamental in driving the laser dynamics is the nontrivial phase profiles generated during the mode-locking process. The variational method provides an excellent theoretical framework for optimizing laser performance for a wide range of mode-locking models.

© 2008 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Spectral filtering for high-energy mode-locking in normal dispersion fiber lasers

Brandon G. Bale, J. Nathan Kutz, Andy Chong, William H. Renninger, and Frank W. Wise
J. Opt. Soc. Am. B 25(10) 1763-1770 (2008)

Stability analysis of the mode-locking dynamics in a laser cavity with a passive polarizer

Edwin Ding and J. Nathan Kutz
J. Opt. Soc. Am. B 26(7) 1400-1411 (2009)

Stability of pulses in the master mode-locking equation

Todd Kapitula, J. Nathan Kutz, and Björn Sandstede
J. Opt. Soc. Am. B 19(4) 740-746 (2002)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (35)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription