Abstract

The dynamical equations that govern the interaction between a weakly modulated plane wave and its second harmonic are derived for materials with asymmetric crystal structure, in which the effects of both the quadratic and the cubic nonlinear susceptibility tensors must be considered. Unlike in the case of pure quadratic nonlinearity, the equations for wave packets that describe temporal and spatial solitary waves do not have the same form unless the crystal structure of the material is nearly centrosymmetric, such that the lowest-order quadratic and cubic nonlinear terms balance. For lossless materials and nonresonant conditions the Hamiltonian structure of the equations is discussed, conserved quantities described, and a stable one-parameter family of bright ground-state solitary wave solutions found numerically for fixed material parameters.

© 1997 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 (3)

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 (112)

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