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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 7 — Jul. 1, 2006
  • pp: 1312–1322

Simulation of three-wave interactions for focused beams with an assistant curvilinear coordinate system

Jin Jer Huang, Xiao Yong Hu, De Ming Ren, and Yan Chen Qu  »View Author Affiliations


JOSA B, Vol. 23, Issue 7, pp. 1312-1322 (2006)
http://dx.doi.org/10.1364/JOSAB.23.001312


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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 L/b>>1 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

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.7070) Nonlinear optics : Two-wave mixing

ToC Category:
Nonlinear Optics

History
Original Manuscript: July 5, 2005
Manuscript Accepted: January 29, 2006

Citation
Jin Jer Huang, Xiao Yong Hu, De Ming Ren, and Yan Chen Qu, "Simulation of three-wave interactions for focused beams with an assistant curvilinear coordinate system," J. Opt. Soc. Am. B 23, 1312-1322 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-7-1312

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