Abstract

The effective nonlinear coefficients and the optimum phase-matching angles for three-wave mixing processes in biaxial crystals are calculated, and their analytical expressions are obtained. We carried out the calculations by taking into consideration the difference between the directions of the electric field vector E and the electric displacement vector D in biaxial crystals. Using the small-signal approximation, we also derived expressions for acceptance parameters and calculated their values for some typical three-wave interaction processes. In addition we obtained a theoretical curve for the energy conversion efficiency of three-wave interactions as a function of phase mismatch by numerically solving the coupled wave equations describing the processes. With this curve we are able to define and to compute the acceptance parameters for any type of three-wave mixing process. Finally, the numerical values of the phase-matching parameters are obtained for such biaxial crystals as KTiOPO4 and LiB3O5, and the results are graphically presented.

© 1992 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 (14)

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 (75)

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