Abstract

We consider the nonlinear Schrödinger equation with variable coefficients that describes beam propagation in inhomogeneous graded-index waveguides. By using the direct transformation of variables and functions, we present the exact general bright and dark spatial self-similar solutions. As an application, we discuss the nonlinear tunneling of optical similaritons. The results show that under an integrable condition, the optical waves can similarly pass through the nonlinear barrier or well, and the interaction between the neighboring waves is elastic collision. Under a nonintegrable condition, when they pass through the nonlinear barrier, the optical beams can effectively be compressed for the relatively small value of height of the nonlinear barrier. However, the beam splits into some filaments when the height of the nonlinear barrier is large enough.

© 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 (10)

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 (26)

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