Abstract

In this paper, the stability of the analytical solutions of the cubic–quintic Ginzburg–Landau equation (CQGLE) in the high-chirp approximation has been studied numerically. The existence domain for the stable solution in the CQGLE parameter set has been found. A temporal and spectral shape of the stable solution as dependent of the cavity parameters has been analyzed. Direct comparison of the spectra with numerical calculations has been performed, demonstrating 102104 accuracy of the analytical solution for chirp parameter f>10. The stable solutions represent the dissipative soliton family with only one composite parameter. Inside this family, the pulse shape in the time domain evolves from the conventional soliton shape, sech2, to a rectangular one in the opposite limit with a parabolic shape as an intermediate one. The obtained theoretical results make it possible to classify experimentally observed highly chirped pulses and to optimize experimental schemes with an all- normal-dispersion cavity.

© 2011 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Solitons of singly resonant optical parametric oscillators

Pey-Schuan Jian, William E. Torruellas, Marc Haelterman, Stefano Trillo, Ulf Peschel, and Falk Lederer
Opt. Lett. 24(6) 400-402 (1999)

Lumped versus distributed description of mode-locked fiber lasers

Alexandr Zaviyalov, Rumen Iliew, Oleg Egorov, and Falk Lederer
J. Opt. Soc. Am. B 27(11) 2313-2321 (2010)

Mode-locking pulse dynamics in a fiber laser with a saturable Bragg reflector

J. Nathan Kutz, Brandon C. Collings, Keren Bergman, Sergio Tsuda, Steven T. Cundiff, Wayne H. Knox, Philip Holmes, and Michael Weinstein
J. Opt. Soc. Am. B 14(10) 2681-2690 (1997)

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 (4)

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

Equations (18)

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