Abstract

A thorough search is performed for all cases in which solutions of the quadratically coupled nonlinear equations for χ(2) cascading may be expressed in terms of hyperbolic functions. This reveals two new classes (IV and VI) in addition to classes I–III, which have appeared in many recent papers. These new solutions describe pulses with a nonzero cw background in one or both modes. They include bright–dark, brighter–brighter, twin-hole, and dark–dark solutions, and each contains an adjustable parameter related to the phase shift across the pulse. For a planar waveguide, any of the class VI profiles may arise for any choice of pulse orientation parameters κJ giving pp˜>0, whereas any of the class IV profiles may arise if pp˜<0. In each case, the choice then determines the remaining pulse parameters in the exact representation.

© 1998 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 (2)

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 (74)

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