Abstract

We give a quantitative meaning to the often-used expression: in spatial solitons, diffraction is balanced by nonlinear refractive-index effects. After pointing out how the electric field shape and its derivatives relate to the magnetic field, we show that the balance of magnetic and electric stored energies describes what happens in a variety of linear and nonlinear waves, including linear guided waves, nonlinear self-guided waves in quadratic and cubic media, and in cases where several frequencies are present and energy exchange may occur. We give exact, electromagnetic theory results and also explain how the energy balance works in the slowly varying approximation.

© 2001 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 (1)

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 (102)

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