Abstract

We investigate the modulational instability of optical pulses propagating in a lossless fiber where both effects of relaxation and saturation of the nonlinearity are taken simultaneously into account. The saturation of the nonlinearity is incorporated in the relaxation dynamics of the Kerr response. We calculate the exact dispersion relation for harmonic perturbations over the stationary solution. In the anomalous dispersive regime, the gain spectrum exhibits two bands in the fast relaxation regime. The low energy band is reduced by the saturation of the nonlinearity but is roughly insensitive to the nonlinearity response time. The high energy band is mainly due to the Raman response. These frequency bands superpose for fast relaxation responses and a new behavior sets up. In the normal dispersive regime, a single instability band sets up associated with the finite response time of the nonlinearity with distinct features for fast and slow nonlinear relaxation.

© 2008 Optical Society of America

Full Article  |  PDF Article

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 (5)

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 (17)

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