Nonlinearly coupled localized plasmon resonances: Resonant second-harmonic generation

Pavel Ginzburg, Alexey Krasavin, Yannick Sonnefraud, Antony Murphy, Robert J. Pollard, Stefan A. Maier, Anatoly V. Zayats

Research output: Contribution to journalArticlepeer-review


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 and Materials Physics
Issue number8
StatePublished - 13 Aug 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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