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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Grover Swartzlander
  • Vol. 31, Iss. 3 — Mar. 1, 2014
  • pp: 526–533

Simplified bond-hyperpolarizability model of second harmonic generation, group theory, and Neumann’s principle

Adalberto Alejo-Molina, Hendradi Hardhienata, and Kurt Hingerl  »View Author Affiliations


JOSA B, Vol. 31, Issue 3, pp. 526-533 (2014)
http://dx.doi.org/10.1364/JOSAB.31.000526


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Abstract

We discuss the susceptibility third-rank tensor for second harmonic and sum-frequency generation, associated with low index surfaces of silicon (Si(001), Si(011), and Si(111)), from two different approaches: the simplified bond-hyperpolarizability model (SBHM) and group theory (GT). We show that the SBHM agrees very well with the experimental results for simple surfaces because the definitions of the bond vectors implicitly include the geometry of the crystal and therefore the symmetry group. However, for more complex surfaces it is shown that one can derive from GT the SBHM tensor, if Kleinman symmetry is allowed.

© 2014 Optical Society of America

OCIS Codes
(190.4350) Nonlinear optics : Nonlinear optics at surfaces
(240.4350) Optics at surfaces : Nonlinear optics at surfaces
(240.6700) Optics at surfaces : Surfaces

ToC Category:
Optics at Surfaces

History
Original Manuscript: October 28, 2013
Revised Manuscript: January 10, 2014
Manuscript Accepted: January 10, 2014
Published: February 19, 2014

Citation
Adalberto Alejo-Molina, Hendradi Hardhienata, and Kurt Hingerl, "Simplified bond-hyperpolarizability model of second harmonic generation, group theory, and Neumann’s principle," J. Opt. Soc. Am. B 31, 526-533 (2014)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-31-3-526


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References

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