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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 9 — Sep. 1, 2002
  • pp: 1919–1928

Analysis of enhanced second-harmonic generation in periodic nanostructures using modified rigorous coupled-wave analysis in the undepleted-pump approximation

Wataru Nakagawa, Rong-Chung Tyan, and Yeshaiahu Fainman  »View Author Affiliations


JOSA A, Vol. 19, Issue 9, pp. 1919-1928 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001919


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Abstract

We present an extension of the rigorous coupled-wave analysis technique to analyze second-harmonic generation (SHG) in periodic optical nanostructures in the undepleted-pump approximation. We apply this method to analyze SHG in two example nanostructures for which we predict enhanced nonlinearity due to transverse near-field localization of the fundamental optical field in the nonlinear material. First, we examine a periodic nanostructure that yields up to twice the transmitted SHG intensity output compared with the bulk nonlinear material but only for small nanostructure depths because of mismatch of the fundamental and second-harmonic mode phase velocities. Second, we develop and analyze a modified nanostructure and find that this nanostructure concurrently achieves transverse localization and phase matching for SHG. In principle, this permits an arbitrary coherent interaction length, and for several specific nanostructure depths we predict a transmitted SHG intensity output more than two orders of magnitude greater than that of the bulk material.

© 2002 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(230.4320) Optical devices : Nonlinear optical devices

History
Original Manuscript: December 21, 2001
Revised Manuscript: April 10, 2002
Manuscript Accepted: April 16, 2002
Published: September 1, 2002

Citation
Wataru Nakagawa, Rong-Chung Tyan, and Yeshaiahu Fainman, "Analysis of enhanced second-harmonic generation in periodic nanostructures using modified rigorous coupled-wave analysis in the undepleted-pump approximation," J. Opt. Soc. Am. A 19, 1919-1928 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-9-1919

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