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Updated: Dec 20, 2025

15:06
Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
Published on: January 3, 2016
13.3K
Role of diffusive surface scattering in nonlocal plasmonics
M K Svendsen1, C Wolff2, A-P Jauho1,3
1Department of Physics, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark.
Summary
The generalized nonlocal optical response (GNOR) theory for plasmonics is analyzed. This study links GNOR
Area of Science:
- Plasmonics
- Condensed Matter Physics
- Nanophotonics
Background:
- The generalized nonlocal optical response (GNOR) theory explains plasmon damping and frequency shifts.
- GNOR uses a phenomenological electron diffusion term but lacks microscopic justification.
- A key input parameter is the complex hydrodynamic convection-diffusion constant.
Purpose of the Study:
- To provide a microscopic derivation for GNOR theory.
- To link the phenomenological GNOR parameter to microscopic surface properties.
- To elucidate the validity and limitations of GNOR in nonclassical plasmonics.
Main Methods:
- Analysis of the complex hydrodynamic convection-diffusion constant.
- Quantification in terms of enhanced Landau damping due to diffusive surface electron scattering.
- Establishing a link between the diffusion-like term and the Feibelman d-parameter.
Main Results:
- The diffusion-like term in hydrodynamics efficiently describes Landau damping without complex calculations.
- A direct connection is established between the diffusion term and the Feibelman d-parameter.
- A method is provided to connect the GNOR parameter to a frequency-dependent microscopic surface-response function.
Conclusions:
- The study addresses a principal limitation of GNOR by providing its microscopic justification.
- The findings facilitate the proper application of GNOR in nonclassical plasmonics.
- The approach offers a computationally efficient way to model Landau damping.

