Nonlinearly coupled localized plasmon resonances: Resonant second-harmonic generation

Pavel Ginzburg, Alexey Krasavin, Yannick Sonnefraud, Antony Murphy, Robert Pollard, Stefan Maier, Anatoly Zayats

Research output: Contribution to journalArticlepeer-review

64 Citations (Scopus)


The efficient resonant nonlinear coupling between localized surface plasmon modes is demonstrated in a simple and intuitive way using boundary integral formulation and utilizing second-order optical nonlinearity. The nonlinearity is derived from the hydrodynamic description of electron plasma and originates from the presence of material interfaces in the case of small metal particles. The coupling between fundamental and second-harmonic modes is shown to be symmetry selective and proportional to the spatial overlap between polarization dipole density of the second-harmonic mode and the square of the polarization charge density of the fundamental mode. Particles with high geometrical symmetry will convert a far-field illumination into dark nonradiating second-harmonic modes, such as quadrupoles. Effective second-harmonic susceptibilities are proportional to the surface-to-volume ratio of a particle, emphasizing the nanoscale enhancement of the effect.
Original languageEnglish
Article number085422
JournalPhysical Review B (Condensed Matter)
Issue number8
Publication statusPublished - 13 Aug 2012

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials


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