Abstract

We investigate the effects of a nonlinearity with a finite response time, combined with group-velocity dispersion and self-phase modulation, on the parametric amplification and modulational instability exhibited by light propagating in a nonlinear directional coupler. A linear-stability analysis of the nonlinear coupled-mode equations describing propagation in the coupler furnishes simple general expressions for the bandwidth of the spatial growth rate of an initially weak modulation for the case in which the carrier propagates in either the symmetric or the antisymmetric mode of the coupler. New types of scalar and vectorial modulational instabilities of the nonlinear Schrödinger equation are predicted, in both the normal- and the anomalous-dispersion regimes. The physical origin of these instabilities is the interplay among linear coupling, parametric four-photon mixing, and Raman scattering.

© 1989 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 (13)

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 (36)

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