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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 9 — Sep. 1, 2013
  • pp: 2355–2364

Surface integral method for second harmonic generation in metal nanoparticles including both local-surface and nonlocal-bulk sources

Carlo Forestiere, Antonio Capretti, and Giovanni Miano  »View Author Affiliations

JOSA B, Vol. 30, Issue 9, pp. 2355-2364 (2013)

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We propose a numerical method, based on surface integral equations (SIE), for evaluating the second harmonic (SH) scattering by metal nanoparticles (NPs) of arbitrary shape, considering both nonlocal-bulk and local-surface SH sources, induced by the electromagnetic field at the fundamental frequency. We demonstrate that the contribution of the nonlocal-bulk sources can be taken into account through equivalent surface electric and magnetic currents. We numerically solve the SIE problem by using the Galerkin method and the Rao–Wilton–Glisson basis functions in the framework of the distribution theory. The accuracy of the proposed method is verified by comparing with the SH-Mie analytical solution. As an example of a complex-shaped particle, we investigate the SH scattering by a triangular nanoprism. This method paves the way for a better understanding of the SH generation process in arbitrarily shaped NPs and can also have a high impact on the design of novel nanoplasmonic devices with enhanced SH emission.

© 2013 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4350) Nonlinear optics : Nonlinear optics at surfaces
(240.6680) Optics at surfaces : Surface plasmons
(290.5850) Scattering : Scattering, particles
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:
Nonlinear Optics

Original Manuscript: March 7, 2013
Revised Manuscript: June 16, 2013
Manuscript Accepted: July 12, 2013
Published: August 7, 2013

Virtual Issues
Vol. 8, Iss. 10 Virtual Journal for Biomedical Optics

Carlo Forestiere, Antonio Capretti, and Giovanni Miano, "Surface integral method for second harmonic generation in metal nanoparticles including both local-surface and nonlocal-bulk sources," J. Opt. Soc. Am. B 30, 2355-2364 (2013)

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