Abstract

We present a numerical model to deal with optical nonlinear processes at a strong focusing situation where general methods possibly fail to work. We find a special curvilinear coordinate system through which a new paraxial wave equation set is developed and its eigenmode transmission solutions are derived. On the basis of the wave equations, a detailed algorithm for second-harmonic generation is proposed with the Fourier-space method. Numerical results in non-walk-off and walk-off cases show that the new model can handle wave interactions on the strong focusing Lb1 condition within a relative small sampling grid, with which traditional methods will lose efficiency, and can provide unique features in comparison with the model in a Cartesian coordinate system. Concrete assessment of the new model is rendered by error analysis.

© 2006 Optical Society of America

Full Article  |  PDF Article
Related Articles
Second-harmonic generation in a nonlinear, anisotropic medium with diffraction and depletion

M. A. Dreger and J. K. Mclver
J. Opt. Soc. Am. B 7(5) 776-784 (1990)

Phase distortions in sum- and difference-frequency mixing in crystals

Arlee V. Smith and Mark S. Bowers
J. Opt. Soc. Am. B 12(1) 49-57 (1995)

Soliton excitation and mutual locking of light beams in bulk quadratic nonlinear crystals

Lluis Torner and Ewan M. Wright
J. Opt. Soc. Am. B 13(5) 864-875 (1996)

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 (4)

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 (86)

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