Abstract

The interaction of four waves propagating in a medium with third-order nonlinearities is considered. In general, nonlinear phase shifts detune the interaction before the transfer of energy from the pump to the daughter waves is complete. Fortunately, however, it is possible to compensate for this nonlinear detuning by imposing a linear wave-number mismatch on the interaction. Simple criteria are given that allow the weaker pump wave to be depleted completely and, hence, the energy transfer to be maximized. Some exact solutions of the four-wave equations are used to illustrate the underlying wave physics, and some useful approximate solutions are described. As an application of the general theory, near-collinear four-wave mixing in a Kerr medium is discussed briefly.

© 1993 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 (126)

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